Beam Diagrams (Fixed Steps)

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  • 7/24/2019 Beam Diagrams (Fixed Steps)

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    geometry defnitions

    length of beam 120.00 in

    applied load 1,500 lb

    distance to load 60.00 in

    reaction orcesreaction at A 750 lb

    reaction at B 750 lb

    shear and moment

    max shear 750 lb

    max moment 45,000 lb*in

    graphing inormation

    location applied load shear moment

    0.00 750 750 00.12 0 750 90

    0.24 0 750 180

    0.36 0 750 270

    0.48 0 750 360

    0.60 0 750 450

    0.72 0 750 540

    0.84 0 750 630

    0.96 0 750 720

    1.08 0 750 810

    1.20 0 750 900

    1.32 0 750 990

    1.44 0 750 1,080

    1.56 0 750 1,170

    1.68 0 750 1,260

    1.80 0 750 1,350

    1.92 0 750 1,440

    2.04 0 750 1,530

    2.16 0 750 1,620

    2.28 0 750 1,710

    2.40 0 750 1,800

    2.52 0 750 1,890

    2.64 0 750 1,980

    2.76 0 750 2,070

    2.88 0 750 2,160

    3.00 0 750 2,250

    3.12 0 750 2,340

    3.24 0 750 2,430

    3.36 0 750 2,520

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    3.48 0 750 2,610

    3.60 0 750 2,700

    3.72 0 750 2,790

    3.84 0 750 2,880

    3.96 0 750 2,970

    4.08 0 750 3,060

    4.20 0 750 3,1504.32 0 750 3,240

    4.44 0 750 3,330

    4.56 0 750 3,420

    4.68 0 750 3,510

    4.80 0 750 3,600

    4.92 0 750 3,690

    5.04 0 750 3,780

    5.16 0 750 3,870

    5.28 0 750 3,960

    5.40 0 750 4,0505.52 0 750 4,140

    5.64 0 750 4,230

    5.76 0 750 4,320

    5.88 0 750 4,410

    6.00 0 750 4,500

    6.12 0 750 4,590

    6.24 0 750 4,680

    6.36 0 750 4,770

    6.48 0 750 4,860

    6.60 0 750 4,950

    6.72 0 750 5,040

    6.84 0 750 5,130

    6.96 0 750 5,220

    7.08 0 750 5,310

    7.20 0 750 5,400

    7.32 0 750 5,490

    7.44 0 750 5,580

    7.56 0 750 5,670

    7.68 0 750 5,760

    7.80 0 750 5,850

    7.92 0 750 5,940

    8.04 0 750 6,030

    8.16 0 750 6,120

    8.28 0 750 6,210

    8.40 0 750 6,300

    8.52 0 750 6,390

    8.64 0 750 6,480

    8.76 0 750 6,570

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    8.88 0 750 6,660

    9.00 0 750 6,750

    9.12 0 750 6,840

    9.24 0 750 6,930

    9.36 0 750 7,020

    9.48 0 750 7,110

    9.60 0 750 7,2009.72 0 750 7,290

    9.84 0 750 7,380

    9.96 0 750 7,470

    10.08 0 750 7,560

    10.20 0 750 7,650

    10.32 0 750 7,740

    10.44 0 750 7,830

    10.56 0 750 7,920

    10.68 0 750 8,010

    10.80 0 750 8,10010.92 0 750 8,190

    11.04 0 750 8,280

    11.16 0 750 8,370

    11.28 0 750 8,460

    11.40 0 750 8,550

    11.52 0 750 8,640

    11.64 0 750 8,730

    11.76 0 750 8,820

    11.88 0 750 8,910

    12.00 0 750 9,000

    12.12 0 750 9,090

    12.24 0 750 9,180

    12.36 0 750 9,270

    12.48 0 750 9,360

    12.60 0 750 9,450

    12.72 0 750 9,540

    12.84 0 750 9,630

    12.96 0 750 9,720

    13.08 0 750 9,810

    13.20 0 750 9,900

    13.32 0 750 9,990

    13.44 0 750 10,080

    13.56 0 750 10,170

    13.68 0 750 10,260

    13.80 0 750 10,350

    13.92 0 750 10,440

    14.04 0 750 10,530

    14.16 0 750 10,620

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    4/375

    14.28 0 750 10,710

    14.40 0 750 10,800

    14.52 0 750 10,890

    14.64 0 750 10,980

    14.76 0 750 11,070

    14.88 0 750 11,160

    15.00 0 750 11,25015.12 0 750 11,340

    15.24 0 750 11,430

    15.36 0 750 11,520

    15.48 0 750 11,610

    15.60 0 750 11,700

    15.72 0 750 11,790

    15.84 0 750 11,880

    15.96 0 750 11,970

    16.08 0 750 12,060

    16.20 0 750 12,15016.32 0 750 12,240

    16.44 0 750 12,330

    16.56 0 750 12,420

    16.68 0 750 12,510

    16.80 0 750 12,600

    16.92 0 750 12,690

    17.04 0 750 12,780

    17.16 0 750 12,870

    17.28 0 750 12,960

    17.40 0 750 13,050

    17.52 0 750 13,140

    17.64 0 750 13,230

    17.76 0 750 13,320

    17.88 0 750 13,410

    18.00 0 750 13,500

    18.12 0 750 13,590

    18.24 0 750 13,680

    18.36 0 750 13,770

    18.48 0 750 13,860

    18.60 0 750 13,950

    18.72 0 750 14,040

    18.84 0 750 14,130

    18.96 0 750 14,220

    19.08 0 750 14,310

    19.20 0 750 14,400

    19.32 0 750 14,490

    19.44 0 750 14,580

    19.56 0 750 14,670

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    19.68 0 750 14,760

    19.80 0 750 14,850

    19.92 0 750 14,940

    20.04 0 750 15,030

    20.16 0 750 15,120

    20.28 0 750 15,210

    20.40 0 750 15,30020.52 0 750 15,390

    20.64 0 750 15,480

    20.76 0 750 15,570

    20.88 0 750 15,660

    21.00 0 750 15,750

    21.12 0 750 15,840

    21.24 0 750 15,930

    21.36 0 750 16,020

    21.48 0 750 16,110

    21.60 0 750 16,20021.72 0 750 16,290

    21.84 0 750 16,380

    21.96 0 750 16,470

    22.08 0 750 16,560

    22.20 0 750 16,650

    22.32 0 750 16,740

    22.44 0 750 16,830

    22.56 0 750 16,920

    22.68 0 750 17,010

    22.80 0 750 17,100

    22.92 0 750 17,190

    23.04 0 750 17,280

    23.16 0 750 17,370

    23.28 0 750 17,460

    23.40 0 750 17,550

    23.52 0 750 17,640

    23.64 0 750 17,730

    23.76 0 750 17,820

    23.88 0 750 17,910

    24.00 0 750 18,000

    24.12 0 750 18,090

    24.24 0 750 18,180

    24.36 0 750 18,270

    24.48 0 750 18,360

    24.60 0 750 18,450

    24.72 0 750 18,540

    24.84 0 750 18,630

    24.96 0 750 18,720

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    6/375

    25.08 0 750 18,810

    25.20 0 750 18,900

    25.32 0 750 18,990

    25.44 0 750 19,080

    25.56 0 750 19,170

    25.68 0 750 19,260

    25.80 0 750 19,35025.92 0 750 19,440

    26.04 0 750 19,530

    26.16 0 750 19,620

    26.28 0 750 19,710

    26.40 0 750 19,800

    26.52 0 750 19,890

    26.64 0 750 19,980

    26.76 0 750 20,070

    26.88 0 750 20,160

    27.00 0 750 20,25027.12 0 750 20,340

    27.24 0 750 20,430

    27.36 0 750 20,520

    27.48 0 750 20,610

    27.60 0 750 20,700

    27.72 0 750 20,790

    27.84 0 750 20,880

    27.96 0 750 20,970

    28.08 0 750 21,060

    28.20 0 750 21,150

    28.32 0 750 21,240

    28.44 0 750 21,330

    28.56 0 750 21,420

    28.68 0 750 21,510

    28.80 0 750 21,600

    28.92 0 750 21,690

    29.04 0 750 21,780

    29.16 0 750 21,870

    29.28 0 750 21,960

    29.40 0 750 22,050

    29.52 0 750 22,140

    29.64 0 750 22,230

    29.76 0 750 22,320

    29.88 0 750 22,410

    30.00 0 750 22,500

    30.12 0 750 22,590

    30.24 0 750 22,680

    30.36 0 750 22,770

  • 7/24/2019 Beam Diagrams (Fixed Steps)

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    30.48 0 750 22,860

    30.60 0 750 22,950

    30.72 0 750 23,040

    30.84 0 750 23,130

    30.96 0 750 23,220

    31.08 0 750 23,310

    31.20 0 750 23,40031.32 0 750 23,490

    31.44 0 750 23,580

    31.56 0 750 23,670

    31.68 0 750 23,760

    31.80 0 750 23,850

    31.92 0 750 23,940

    32.04 0 750 24,030

    32.16 0 750 24,120

    32.28 0 750 24,210

    32.40 0 750 24,30032.52 0 750 24,390

    32.64 0 750 24,480

    32.76 0 750 24,570

    32.88 0 750 24,660

    33.00 0 750 24,750

    33.12 0 750 24,840

    33.24 0 750 24,930

    33.36 0 750 25,020

    33.48 0 750 25,110

    33.60 0 750 25,200

    33.72 0 750 25,290

    33.84 0 750 25,380

    33.96 0 750 25,470

    34.08 0 750 25,560

    34.20 0 750 25,650

    34.32 0 750 25,740

    34.44 0 750 25,830

    34.56 0 750 25,920

    34.68 0 750 26,010

    34.80 0 750 26,100

    34.92 0 750 26,190

    35.04 0 750 26,280

    35.16 0 750 26,370

    35.28 0 750 26,460

    35.40 0 750 26,550

    35.52 0 750 26,640

    35.64 0 750 26,730

    35.76 0 750 26,820

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    8/375

    35.88 0 750 26,910

    36.00 0 750 27,000

    36.12 0 750 27,090

    36.24 0 750 27,180

    36.36 0 750 27,270

    36.48 0 750 27,360

    36.60 0 750 27,45036.72 0 750 27,540

    36.84 0 750 27,630

    36.96 0 750 27,720

    37.08 0 750 27,810

    37.20 0 750 27,900

    37.32 0 750 27,990

    37.44 0 750 28,080

    37.56 0 750 28,170

    37.68 0 750 28,260

    37.80 0 750 28,35037.92 0 750 28,440

    38.04 0 750 28,530

    38.16 0 750 28,620

    38.28 0 750 28,710

    38.40 0 750 28,800

    38.52 0 750 28,890

    38.64 0 750 28,980

    38.76 0 750 29,070

    38.88 0 750 29,160

    39.00 0 750 29,250

    39.12 0 750 29,340

    39.24 0 750 29,430

    39.36 0 750 29,520

    39.48 0 750 29,610

    39.60 0 750 29,700

    39.72 0 750 29,790

    39.84 0 750 29,880

    39.96 0 750 29,970

    40.08 0 750 30,060

    40.20 0 750 30,150

    40.32 0 750 30,240

    40.44 0 750 30,330

    40.56 0 750 30,420

    40.68 0 750 30,510

    40.80 0 750 30,600

    40.92 0 750 30,690

    41.04 0 750 30,780

    41.16 0 750 30,870

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    9/375

    41.28 0 750 30,960

    41.40 0 750 31,050

    41.52 0 750 31,140

    41.64 0 750 31,230

    41.76 0 750 31,320

    41.88 0 750 31,410

    42.00 0 750 31,50042.12 0 750 31,590

    42.24 0 750 31,680

    42.36 0 750 31,770

    42.48 0 750 31,860

    42.60 0 750 31,950

    42.72 0 750 32,040

    42.84 0 750 32,130

    42.96 0 750 32,220

    43.08 0 750 32,310

    43.20 0 750 32,40043.32 0 750 32,490

    43.44 0 750 32,580

    43.56 0 750 32,670

    43.68 0 750 32,760

    43.80 0 750 32,850

    43.92 0 750 32,940

    44.04 0 750 33,030

    44.16 0 750 33,120

    44.28 0 750 33,210

    44.40 0 750 33,300

    44.52 0 750 33,390

    44.64 0 750 33,480

    44.76 0 750 33,570

    44.88 0 750 33,660

    45.00 0 750 33,750

    45.12 0 750 33,840

    45.24 0 750 33,930

    45.36 0 750 34,020

    45.48 0 750 34,110

    45.60 0 750 34,200

    45.72 0 750 34,290

    45.84 0 750 34,380

    45.96 0 750 34,470

    46.08 0 750 34,560

    46.20 0 750 34,650

    46.32 0 750 34,740

    46.44 0 750 34,830

    46.56 0 750 34,920

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    10/375

    46.68 0 750 35,010

    46.80 0 750 35,100

    46.92 0 750 35,190

    47.04 0 750 35,280

    47.16 0 750 35,370

    47.28 0 750 35,460

    47.40 0 750 35,55047.52 0 750 35,640

    47.64 0 750 35,730

    47.76 0 750 35,820

    47.88 0 750 35,910

    48.00 0 750 36,000

    48.12 0 750 36,090

    48.24 0 750 36,180

    48.36 0 750 36,270

    48.48 0 750 36,360

    48.60 0 750 36,45048.72 0 750 36,540

    48.84 0 750 36,630

    48.96 0 750 36,720

    49.08 0 750 36,810

    49.20 0 750 36,900

    49.32 0 750 36,990

    49.44 0 750 37,080

    49.56 0 750 37,170

    49.68 0 750 37,260

    49.80 0 750 37,350

    49.92 0 750 37,440

    50.04 0 750 37,530

    50.16 0 750 37,620

    50.28 0 750 37,710

    50.40 0 750 37,800

    50.52 0 750 37,890

    50.64 0 750 37,980

    50.76 0 750 38,070

    50.88 0 750 38,160

    51.00 0 750 38,250

    51.12 0 750 38,340

    51.24 0 750 38,430

    51.36 0 750 38,520

    51.48 0 750 38,610

    51.60 0 750 38,700

    51.72 0 750 38,790

    51.84 0 750 38,880

    51.96 0 750 38,970

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    11/375

    52.08 0 750 39,060

    52.20 0 750 39,150

    52.32 0 750 39,240

    52.44 0 750 39,330

    52.56 0 750 39,420

    52.68 0 750 39,510

    52.80 0 750 39,60052.92 0 750 39,690

    53.04 0 750 39,780

    53.16 0 750 39,870

    53.28 0 750 39,960

    53.40 0 750 40,050

    53.52 0 750 40,140

    53.64 0 750 40,230

    53.76 0 750 40,320

    53.88 0 750 40,410

    54.00 0 750 40,50054.12 0 750 40,590

    54.24 0 750 40,680

    54.36 0 750 40,770

    54.48 0 750 40,860

    54.60 0 750 40,950

    54.72 0 750 41,040

    54.84 0 750 41,130

    54.96 0 750 41,220

    55.08 0 750 41,310

    55.20 0 750 41,400

    55.32 0 750 41,490

    55.44 0 750 41,580

    55.56 0 750 41,670

    55.68 0 750 41,760

    55.80 0 750 41,850

    55.92 0 750 41,940

    56.04 0 750 42,030

    56.16 0 750 42,120

    56.28 0 750 42,210

    56.40 0 750 42,300

    56.52 0 750 42,390

    56.64 0 750 42,480

    56.76 0 750 42,570

    56.88 0 750 42,660

    57.00 0 750 42,750

    57.12 0 750 42,840

    57.24 0 750 42,930

    57.36 0 750 43,020

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    12/375

    57.48 0 750 43,110

    57.60 0 750 43,200

    57.72 0 750 43,290

    57.84 0 750 43,380

    57.96 0 750 43,470

    58.08 0 750 43,560

    58.20 0 750 43,65058.32 0 750 43,740

    58.44 0 750 43,830

    58.56 0 750 43,920

    58.68 0 750 44,010

    58.80 0 750 44,100

    58.92 0 750 44,190

    59.04 0 750 44,280

    59.16 0 750 44,370

    59.28 0 750 44,460

    59.40 0 750 44,55059.52 0 750 44,640

    59.64 0 750 44,730

    59.76 0 750 44,820

    59.88 0 750 44,910

    60.00 0 750 45,000

    60.12 0 750 44,910

    60.24 0 750 44,820

    60.36 0 750 44,730

    60.48 0 750 44,640

    60.60 0 750 44,550

    60.72 0 750 44,460

    60.84 0 750 44,370

    60.96 0 750 44,280

    61.08 0 750 44,190

    61.20 0 750 44,100

    61.32 0 750 44,010

    61.44 0 750 43,920

    61.56 0 750 43,830

    61.68 0 750 43,740

    61.80 0 750 43,650

    61.92 0 750 43,560

    62.04 0 750 43,470

    62.16 0 750 43,380

    62.28 0 750 43,290

    62.40 0 750 43,200

    62.52 0 750 43,110

    62.64 0 750 43,020

    62.76 0 750 42,930

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    13/375

    62.88 0 750 42,840

    63.00 0 750 42,750

    63.12 0 750 42,660

    63.24 0 750 42,570

    63.36 0 750 42,480

    63.48 0 750 42,390

    63.60 0 750 42,30063.72 0 750 42,210

    63.84 0 750 42,120

    63.96 0 750 42,030

    64.08 0 750 41,940

    64.20 0 750 41,850

    64.32 0 750 41,760

    64.44 0 750 41,670

    64.56 0 750 41,580

    64.68 0 750 41,490

    64.80 0 750 41,40064.92 0 750 41,310

    65.04 0 750 41,220

    65.16 0 750 41,130

    65.28 0 750 41,040

    65.40 0 750 40,950

    65.52 0 750 40,860

    65.64 0 750 40,770

    65.76 0 750 40,680

    65.88 0 750 40,590

    66.00 0 750 40,500

    66.12 0 750 40,410

    66.24 0 750 40,320

    66.36 0 750 40,230

    66.48 0 750 40,140

    66.60 0 750 40,050

    66.72 0 750 39,960

    66.84 0 750 39,870

    66.96 0 750 39,780

    67.08 0 750 39,690

    67.20 0 750 39,600

    67.32 0 750 39,510

    67.44 0 750 39,420

    67.56 0 750 39,330

    67.68 0 750 39,240

    67.80 0 750 39,150

    67.92 0 750 39,060

    68.04 0 750 38,970

    68.16 0 750 38,880

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    14/375

    68.28 0 750 38,790

    68.40 0 750 38,700

    68.52 0 750 38,610

    68.64 0 750 38,520

    68.76 0 750 38,430

    68.88 0 750 38,340

    69.00 0 750 38,25069.12 0 750 38,160

    69.24 0 750 38,070

    69.36 0 750 37,980

    69.48 0 750 37,890

    69.60 0 750 37,800

    69.72 0 750 37,710

    69.84 0 750 37,620

    69.96 0 750 37,530

    70.08 0 750 37,440

    70.20 0 750 37,35070.32 0 750 37,260

    70.44 0 750 37,170

    70.56 0 750 37,080

    70.68 0 750 36,990

    70.80 0 750 36,900

    70.92 0 750 36,810

    71.04 0 750 36,720

    71.16 0 750 36,630

    71.28 0 750 36,540

    71.40 0 750 36,450

    71.52 0 750 36,360

    71.64 0 750 36,270

    71.76 0 750 36,180

    71.88 0 750 36,090

    72.00 0 750 36,000

    72.12 0 750 35,910

    72.24 0 750 35,820

    72.36 0 750 35,730

    72.48 0 750 35,640

    72.60 0 750 35,550

    72.72 0 750 35,460

    72.84 0 750 35,370

    72.96 0 750 35,280

    73.08 0 750 35,190

    73.20 0 750 35,100

    73.32 0 750 35,010

    73.44 0 750 34,920

    73.56 0 750 34,830

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    15/375

    73.68 0 750 34,740

    73.80 0 750 34,650

    73.92 0 750 34,560

    74.04 0 750 34,470

    74.16 0 750 34,380

    74.28 0 750 34,290

    74.40 0 750 34,20074.52 0 750 34,110

    74.64 0 750 34,020

    74.76 0 750 33,930

    74.88 0 750 33,840

    75.00 0 750 33,750

    75.12 0 750 33,660

    75.24 0 750 33,570

    75.36 0 750 33,480

    75.48 0 750 33,390

    75.60 0 750 33,30075.72 0 750 33,210

    75.84 0 750 33,120

    75.96 0 750 33,030

    76.08 0 750 32,940

    76.20 0 750 32,850

    76.32 0 750 32,760

    76.44 0 750 32,670

    76.56 0 750 32,580

    76.68 0 750 32,490

    76.80 0 750 32,400

    76.92 0 750 32,310

    77.04 0 750 32,220

    77.16 0 750 32,130

    77.28 0 750 32,040

    77.40 0 750 31,950

    77.52 0 750 31,860

    77.64 0 750 31,770

    77.76 0 750 31,680

    77.88 0 750 31,590

    78.00 0 750 31,500

    78.12 0 750 31,410

    78.24 0 750 31,320

    78.36 0 750 31,230

    78.48 0 750 31,140

    78.60 0 750 31,050

    78.72 0 750 30,960

    78.84 0 750 30,870

    78.96 0 750 30,780

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    16/375

    79.08 0 750 30,690

    79.20 0 750 30,600

    79.32 0 750 30,510

    79.44 0 750 30,420

    79.56 0 750 30,330

    79.68 0 750 30,240

    79.80 0 750 30,15079.92 0 750 30,060

    80.04 0 750 29,970

    80.16 0 750 29,880

    80.28 0 750 29,790

    80.40 0 750 29,700

    80.52 0 750 29,610

    80.64 0 750 29,520

    80.76 0 750 29,430

    80.88 0 750 29,340

    81.00 0 750 29,25081.12 0 750 29,160

    81.24 0 750 29,070

    81.36 0 750 28,980

    81.48 0 750 28,890

    81.60 0 750 28,800

    81.72 0 750 28,710

    81.84 0 750 28,620

    81.96 0 750 28,530

    82.08 0 750 28,440

    82.20 0 750 28,350

    82.32 0 750 28,260

    82.44 0 750 28,170

    82.56 0 750 28,080

    82.68 0 750 27,990

    82.80 0 750 27,900

    82.92 0 750 27,810

    83.04 0 750 27,720

    83.16 0 750 27,630

    83.28 0 750 27,540

    83.40 0 750 27,450

    83.52 0 750 27,360

    83.64 0 750 27,270

    83.76 0 750 27,180

    83.88 0 750 27,090

    84.00 0 750 27,000

    84.12 0 750 26,910

    84.24 0 750 26,820

    84.36 0 750 26,730

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    17/375

    84.48 0 750 26,640

    84.60 0 750 26,550

    84.72 0 750 26,460

    84.84 0 750 26,370

    84.96 0 750 26,280

    85.08 0 750 26,190

    85.20 0 750 26,10085.32 0 750 26,010

    85.44 0 750 25,920

    85.56 0 750 25,830

    85.68 0 750 25,740

    85.80 0 750 25,650

    85.92 0 750 25,560

    86.04 0 750 25,470

    86.16 0 750 25,380

    86.28 0 750 25,290

    86.40 0 750 25,20086.52 0 750 25,110

    86.64 0 750 25,020

    86.76 0 750 24,930

    86.88 0 750 24,840

    87.00 0 750 24,750

    87.12 0 750 24,660

    87.24 0 750 24,570

    87.36 0 750 24,480

    87.48 0 750 24,390

    87.60 0 750 24,300

    87.72 0 750 24,210

    87.84 0 750 24,120

    87.96 0 750 24,030

    88.08 0 750 23,940

    88.20 0 750 23,850

    88.32 0 750 23,760

    88.44 0 750 23,670

    88.56 0 750 23,580

    88.68 0 750 23,490

    88.80 0 750 23,400

    88.92 0 750 23,310

    89.04 0 750 23,220

    89.16 0 750 23,130

    89.28 0 750 23,040

    89.40 0 750 22,950

    89.52 0 750 22,860

    89.64 0 750 22,770

    89.76 0 750 22,680

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    89.88 0 750 22,590

    90.00 0 750 22,500

    90.12 0 750 22,410

    90.24 0 750 22,320

    90.36 0 750 22,230

    90.48 0 750 22,140

    90.60 0 750 22,05090.72 0 750 21,960

    90.84 0 750 21,870

    90.96 0 750 21,780

    91.08 0 750 21,690

    91.20 0 750 21,600

    91.32 0 750 21,510

    91.44 0 750 21,420

    91.56 0 750 21,330

    91.68 0 750 21,240

    91.80 0 750 21,15091.92 0 750 21,060

    92.04 0 750 20,970

    92.16 0 750 20,880

    92.28 0 750 20,790

    92.40 0 750 20,700

    92.52 0 750 20,610

    92.64 0 750 20,520

    92.76 0 750 20,430

    92.88 0 750 20,340

    93.00 0 750 20,250

    93.12 0 750 20,160

    93.24 0 750 20,070

    93.36 0 750 19,980

    93.48 0 750 19,890

    93.60 0 750 19,800

    93.72 0 750 19,710

    93.84 0 750 19,620

    93.96 0 750 19,530

    94.08 0 750 19,440

    94.20 0 750 19,350

    94.32 0 750 19,260

    94.44 0 750 19,170

    94.56 0 750 19,080

    94.68 0 750 18,990

    94.80 0 750 18,900

    94.92 0 750 18,810

    95.04 0 750 18,720

    95.16 0 750 18,630

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    95.28 0 750 18,540

    95.40 0 750 18,450

    95.52 0 750 18,360

    95.64 0 750 18,270

    95.76 0 750 18,180

    95.88 0 750 18,090

    96.00 0 750 18,00096.12 0 750 17,910

    96.24 0 750 17,820

    96.36 0 750 17,730

    96.48 0 750 17,640

    96.60 0 750 17,550

    96.72 0 750 17,460

    96.84 0 750 17,370

    96.96 0 750 17,280

    97.08 0 750 17,190

    97.20 0 750 17,10097.32 0 750 17,010

    97.44 0 750 16,920

    97.56 0 750 16,830

    97.68 0 750 16,740

    97.80 0 750 16,650

    97.92 0 750 16,560

    98.04 0 750 16,470

    98.16 0 750 16,380

    98.28 0 750 16,290

    98.40 0 750 16,200

    98.52 0 750 16,110

    98.64 0 750 16,020

    98.76 0 750 15,930

    98.88 0 750 15,840

    99.00 0 750 15,750

    99.12 0 750 15,660

    99.24 0 750 15,570

    99.36 0 750 15,480

    99.48 0 750 15,390

    99.60 0 750 15,300

    99.72 0 750 15,210

    99.84 0 750 15,120

    99.96 0 750 15,030

    100.08 0 750 14,940

    100.20 0 750 14,850

    100.32 0 750 14,760

    100.44 0 750 14,670

    100.56 0 750 14,580

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    100.68 0 750 14,490

    100.80 0 750 14,400

    100.92 0 750 14,310

    101.04 0 750 14,220

    101.16 0 750 14,130

    101.28 0 750 14,040

    101.40 0 750 13,950101.52 0 750 13,860

    101.64 0 750 13,770

    101.76 0 750 13,680

    101.88 0 750 13,590

    102.00 0 750 13,500

    102.12 0 750 13,410

    102.24 0 750 13,320

    102.36 0 750 13,230

    102.48 0 750 13,140

    102.60 0 750 13,050102.72 0 750 12,960

    102.84 0 750 12,870

    102.96 0 750 12,780

    103.08 0 750 12,690

    103.20 0 750 12,600

    103.32 0 750 12,510

    103.44 0 750 12,420

    103.56 0 750 12,330

    103.68 0 750 12,240

    103.80 0 750 12,150

    103.92 0 750 12,060

    104.04 0 750 11,970

    104.16 0 750 11,880

    104.28 0 750 11,790

    104.40 0 750 11,700

    104.52 0 750 11,610

    104.64 0 750 11,520

    104.76 0 750 11,430

    104.88 0 750 11,340

    105.00 0 750 11,250

    105.12 0 750 11,160

    105.24 0 750 11,070

    105.36 0 750 10,980

    105.48 0 750 10,890

    105.60 0 750 10,800

    105.72 0 750 10,710

    105.84 0 750 10,620

    105.96 0 750 10,530

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    106.08 0 750 10,440

    106.20 0 750 10,350

    106.32 0 750 10,260

    106.44 0 750 10,170

    106.56 0 750 10,080

    106.68 0 750 9,990

    106.80 0 750 9,900106.92 0 750 9,810

    107.04 0 750 9,720

    107.16 0 750 9,630

    107.28 0 750 9,540

    107.40 0 750 9,450

    107.52 0 750 9,360

    107.64 0 750 9,270

    107.76 0 750 9,180

    107.88 0 750 9,090

    108.00 0 750 9,000108.12 0 750 8,910

    108.24 0 750 8,820

    108.36 0 750 8,730

    108.48 0 750 8,640

    108.60 0 750 8,550

    108.72 0 750 8,460

    108.84 0 750 8,370

    108.96 0 750 8,280

    109.08 0 750 8,190

    109.20 0 750 8,100

    109.32 0 750 8,010

    109.44 0 750 7,920

    109.56 0 750 7,830

    109.68 0 750 7,740

    109.80 0 750 7,650

    109.92 0 750 7,560

    110.04 0 750 7,470

    110.16 0 750 7,380

    110.28 0 750 7,290

    110.40 0 750 7,200

    110.52 0 750 7,110

    110.64 0 750 7,020

    110.76 0 750 6,930

    110.88 0 750 6,840

    111.00 0 750 6,750

    111.12 0 750 6,660

    111.24 0 750 6,570

    111.36 0 750 6,480

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    111.48 0 750 6,390

    111.60 0 750 6,300

    111.72 0 750 6,210

    111.84 0 750 6,120

    111.96 0 750 6,030

    112.08 0 750 5,940

    112.20 0 750 5,850112.32 0 750 5,760

    112.44 0 750 5,670

    112.56 0 750 5,580

    112.68 0 750 5,490

    112.80 0 750 5,400

    112.92 0 750 5,310

    113.04 0 750 5,220

    113.16 0 750 5,130

    113.28 0 750 5,040

    113.40 0 750 4,950113.52 0 750 4,860

    113.64 0 750 4,770

    113.76 0 750 4,680

    113.88 0 750 4,590

    114.00 0 750 4,500

    114.12 0 750 4,410

    114.24 0 750 4,320

    114.36 0 750 4,230

    114.48 0 750 4,140

    114.60 0 750 4,050

    114.72 0 750 3,960

    114.84 0 750 3,870

    114.96 0 750 3,780

    115.08 0 750 3,690

    115.20 0 750 3,600

    115.32 0 750 3,510

    115.44 0 750 3,420

    115.56 0 750 3,330

    115.68 0 750 3,240

    115.80 0 750 3,150

    115.92 0 750 3,060

    116.04 0 750 2,970

    116.16 0 750 2,880

    116.28 0 750 2,790

    116.40 0 750 2,700

    116.52 0 750 2,610

    116.64 0 750 2,520

    116.76 0 750 2,430

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    116.88 0 750 2,340

    117.00 0 750 2,250

    117.12 0 750 2,160

    117.24 0 750 2,070

    117.36 0 750 1,980

    117.48 0 750 1,890

    117.60 0 750 1,800117.72 0 750 1,710

    117.84 0 750 1,620

    117.96 0 750 1,530

    118.08 0 750 1,440

    118.20 0 750 1,350

    118.32 0 750 1,260

    118.44 0 750 1,170

    118.56 0 750 1,080

    118.68 0 750 990

    118.80 0 750 900118.92 0 750 810

    119.04 0 750 720

    119.16 0 750 630

    119.28 0 750 540

    119.40 0 750 450

    119.52 0 750 360

    119.64 0 750 270

    119.76 0 750 180

    119.88 0 750 90

    120.00 0 750 0

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    0 20 40 60 80 100 120 1400

    100

    200

    300

    400

    500

    600

    700

    800

    -10,000

    0

    10,000

    20,000

    30,000

    40,000

    50,000

    Point Load with Simple Supports

    Beam ocation !in"

    Shear Force (lb) Bending Moment l!"in#

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    geometry defnitions

    length 1#0.00 in

    applied load 1 !$1" 500 lb

    distance to load 1 !a" 60.00 in

    applied load 2 !$2" 500 lbdistance to load 2 !l%b" 120.00 in

    reaction orces

    reaction at A !&1" 500 lb

    reaction at B !&2" 500 lb

    shear and moment

    max shear 500 lb

    max moment '0,000 lb*in

    graphing inormation

    location applied force shear moment

    0.00 500 500 0

    0.1# 0 500 (0

    0.'6 0 500 1#0

    0.54 0 500 270

    0.72 0 500 '60

    0.(0 0 500 450

    1.0# 0 500 540

    1.26 0 500 6'0

    1.44 0 500 720

    1.62 0 500 #10

    1.#0 0 500 (00

    1.(# 0 500 ((0

    2.16 0 500 1,0#0

    2.'4 0 500 1,170

    2.52 0 500 1,260

    2.70 0 500 1,'50

    2.## 0 500 1,440

    '.06 0 500 1,5'0

    '.24 0 500 1,620

    '.42 0 500 1,710

    '.60 0 500 1,#00

    '.7# 0 500 1,#(0

    '.(6 0 500 1,(#0

    4.14 0 500 2,070

    4.'2 0 500 2,160

    4.50 0 500 2,250

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    4.6# 0 500 2,'40

    4.#6 0 500 2,4'0

    5.04 0 500 2,520

    5.22 0 500 2,610

    5.40 0 500 2,700

    5.5# 0 500 2,7(0

    5.76 0 500 2,##05.(4 0 500 2,(70

    6.12 0 500 ',060

    6.'0 0 500 ',150

    6.4# 0 500 ',240

    6.66 0 500 ',''0

    6.#4 0 500 ',420

    7.02 0 500 ',510

    7.20 0 500 ',600

    7.'# 0 500 ',6(0

    7.56 0 500 ',7#07.74 0 500 ',#70

    7.(2 0 500 ',(60

    #.10 0 500 4,050

    #.2# 0 500 4,140

    #.46 0 500 4,2'0

    #.64 0 500 4,'20

    #.#2 0 500 4,410

    (.00 0 500 4,500

    (.1# 0 500 4,5(0

    (.'6 0 500 4,6#0

    (.54 0 500 4,770

    (.72 0 500 4,#60

    (.(0 0 500 4,(50

    10.0# 0 500 5,040

    10.26 0 500 5,1'0

    10.44 0 500 5,220

    10.62 0 500 5,'10

    10.#0 0 500 5,400

    10.(# 0 500 5,4(0

    11.16 0 500 5,5#0

    11.'4 0 500 5,670

    11.52 0 500 5,760

    11.70 0 500 5,#50

    11.## 0 500 5,(40

    12.06 0 500 6,0'0

    12.24 0 500 6,120

    12.42 0 500 6,210

    12.60 0 500 6,'00

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    12.7# 0 500 6,'(0

    12.(6 0 500 6,4#0

    1'.14 0 500 6,570

    1'.'2 0 500 6,660

    1'.50 0 500 6,750

    1'.6# 0 500 6,#40

    1'.#6 0 500 6,('014.04 0 500 7,020

    14.22 0 500 7,110

    14.40 0 500 7,200

    14.5# 0 500 7,2(0

    14.76 0 500 7,'#0

    14.(4 0 500 7,470

    15.12 0 500 7,560

    15.'0 0 500 7,650

    15.4# 0 500 7,740

    15.66 0 500 7,#'015.#4 0 500 7,(20

    16.02 0 500 #,010

    16.20 0 500 #,100

    16.'# 0 500 #,1(0

    16.56 0 500 #,2#0

    16.74 0 500 #,'70

    16.(2 0 500 #,460

    17.10 0 500 #,550

    17.2# 0 500 #,640

    17.46 0 500 #,7'0

    17.64 0 500 #,#20

    17.#2 0 500 #,(10

    1#.00 0 500 (,000

    1#.1# 0 500 (,0(0

    1#.'6 0 500 (,1#0

    1#.54 0 500 (,270

    1#.72 0 500 (,'60

    1#.(0 0 500 (,450

    1(.0# 0 500 (,540

    1(.26 0 500 (,6'0

    1(.44 0 500 (,720

    1(.62 0 500 (,#10

    1(.#0 0 500 (,(00

    1(.(# 0 500 (,((0

    20.16 0 500 10,0#0

    20.'4 0 500 10,170

    20.52 0 500 10,260

    20.70 0 500 10,'50

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    20.## 0 500 10,440

    21.06 0 500 10,5'0

    21.24 0 500 10,620

    21.42 0 500 10,710

    21.60 0 500 10,#00

    21.7# 0 500 10,#(0

    21.(6 0 500 10,(#022.14 0 500 11,070

    22.'2 0 500 11,160

    22.50 0 500 11,250

    22.6# 0 500 11,'40

    22.#6 0 500 11,4'0

    2'.04 0 500 11,520

    2'.22 0 500 11,610

    2'.40 0 500 11,700

    2'.5# 0 500 11,7(0

    2'.76 0 500 11,##02'.(4 0 500 11,(70

    24.12 0 500 12,060

    24.'0 0 500 12,150

    24.4# 0 500 12,240

    24.66 0 500 12,''0

    24.#4 0 500 12,420

    25.02 0 500 12,510

    25.20 0 500 12,600

    25.'# 0 500 12,6(0

    25.56 0 500 12,7#0

    25.74 0 500 12,#70

    25.(2 0 500 12,(60

    26.10 0 500 1',050

    26.2# 0 500 1',140

    26.46 0 500 1',2'0

    26.64 0 500 1','20

    26.#2 0 500 1',410

    27.00 0 500 1',500

    27.1# 0 500 1',5(0

    27.'6 0 500 1',6#0

    27.54 0 500 1',770

    27.72 0 500 1',#60

    27.(0 0 500 1',(50

    2#.0# 0 500 14,040

    2#.26 0 500 14,1'0

    2#.44 0 500 14,220

    2#.62 0 500 14,'10

    2#.#0 0 500 14,400

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    2#.(# 0 500 14,4(0

    2(.16 0 500 14,5#0

    2(.'4 0 500 14,670

    2(.52 0 500 14,760

    2(.70 0 500 14,#50

    2(.## 0 500 14,(40

    '0.06 0 500 15,0'0'0.24 0 500 15,120

    '0.42 0 500 15,210

    '0.60 0 500 15,'00

    '0.7# 0 500 15,'(0

    '0.(6 0 500 15,4#0

    '1.14 0 500 15,570

    '1.'2 0 500 15,660

    '1.50 0 500 15,750

    '1.6# 0 500 15,#40

    '1.#6 0 500 15,('0'2.04 0 500 16,020

    '2.22 0 500 16,110

    '2.40 0 500 16,200

    '2.5# 0 500 16,2(0

    '2.76 0 500 16,'#0

    '2.(4 0 500 16,470

    ''.12 0 500 16,560

    ''.'0 0 500 16,650

    ''.4# 0 500 16,740

    ''.66 0 500 16,#'0

    ''.#4 0 500 16,(20

    '4.02 0 500 17,010

    '4.20 0 500 17,100

    '4.'# 0 500 17,1(0

    '4.56 0 500 17,2#0

    '4.74 0 500 17,'70

    '4.(2 0 500 17,460

    '5.10 0 500 17,550

    '5.2# 0 500 17,640

    '5.46 0 500 17,7'0

    '5.64 0 500 17,#20

    '5.#2 0 500 17,(10

    '6.00 0 500 1#,000

    '6.1# 0 500 1#,0(0

    '6.'6 0 500 1#,1#0

    '6.54 0 500 1#,270

    '6.72 0 500 1#,'60

    '6.(0 0 500 1#,450

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    '7.0# 0 500 1#,540

    '7.26 0 500 1#,6'0

    '7.44 0 500 1#,720

    '7.62 0 500 1#,#10

    '7.#0 0 500 1#,(00

    '7.(# 0 500 1#,((0

    '#.16 0 500 1(,0#0'#.'4 0 500 1(,170

    '#.52 0 500 1(,260

    '#.70 0 500 1(,'50

    '#.## 0 500 1(,440

    '(.06 0 500 1(,5'0

    '(.24 0 500 1(,620

    '(.42 0 500 1(,710

    '(.60 0 500 1(,#00

    '(.7# 0 500 1(,#(0

    '(.(6 0 500 1(,(#040.14 0 500 20,070

    40.'2 0 500 20,160

    40.50 0 500 20,250

    40.6# 0 500 20,'40

    40.#6 0 500 20,4'0

    41.04 0 500 20,520

    41.22 0 500 20,610

    41.40 0 500 20,700

    41.5# 0 500 20,7(0

    41.76 0 500 20,##0

    41.(4 0 500 20,(70

    42.12 0 500 21,060

    42.'0 0 500 21,150

    42.4# 0 500 21,240

    42.66 0 500 21,''0

    42.#4 0 500 21,420

    4'.02 0 500 21,510

    4'.20 0 500 21,600

    4'.'# 0 500 21,6(0

    4'.56 0 500 21,7#0

    4'.74 0 500 21,#70

    4'.(2 0 500 21,(60

    44.10 0 500 22,050

    44.2# 0 500 22,140

    44.46 0 500 22,2'0

    44.64 0 500 22,'20

    44.#2 0 500 22,410

    45.00 0 500 22,500

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    45.1# 0 500 22,5(0

    45.'6 0 500 22,6#0

    45.54 0 500 22,770

    45.72 0 500 22,#60

    45.(0 0 500 22,(50

    46.0# 0 500 2',040

    46.26 0 500 2',1'046.44 0 500 2',220

    46.62 0 500 2','10

    46.#0 0 500 2',400

    46.(# 0 500 2',4(0

    47.16 0 500 2',5#0

    47.'4 0 500 2',670

    47.52 0 500 2',760

    47.70 0 500 2',#50

    47.## 0 500 2',(40

    4#.06 0 500 24,0'04#.24 0 500 24,120

    4#.42 0 500 24,210

    4#.60 0 500 24,'00

    4#.7# 0 500 24,'(0

    4#.(6 0 500 24,4#0

    4(.14 0 500 24,570

    4(.'2 0 500 24,660

    4(.50 0 500 24,750

    4(.6# 0 500 24,#40

    4(.#6 0 500 24,('0

    50.04 0 500 25,020

    50.22 0 500 25,110

    50.40 0 500 25,200

    50.5# 0 500 25,2(0

    50.76 0 500 25,'#0

    50.(4 0 500 25,470

    51.12 0 500 25,560

    51.'0 0 500 25,650

    51.4# 0 500 25,740

    51.66 0 500 25,#'0

    51.#4 0 500 25,(20

    52.02 0 500 26,010

    52.20 0 500 26,100

    52.'# 0 500 26,1(0

    52.56 0 500 26,2#0

    52.74 0 500 26,'70

    52.(2 0 500 26,460

    5'.10 0 500 26,550

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    5'.2# 0 500 26,640

    5'.46 0 500 26,7'0

    5'.64 0 500 26,#20

    5'.#2 0 500 26,(10

    54.00 0 500 27,000

    54.1# 0 500 27,0(0

    54.'6 0 500 27,1#054.54 0 500 27,270

    54.72 0 500 27,'60

    54.(0 0 500 27,450

    55.0# 0 500 27,540

    55.26 0 500 27,6'0

    55.44 0 500 27,720

    55.62 0 500 27,#10

    55.#0 0 500 27,(00

    55.(# 0 500 27,((0

    56.16 0 500 2#,0#056.'4 0 500 2#,170

    56.52 0 500 2#,260

    56.70 0 500 2#,'50

    56.## 0 500 2#,440

    57.06 0 500 2#,5'0

    57.24 0 500 2#,620

    57.42 0 500 2#,710

    57.60 0 500 2#,#00

    57.7# 0 500 2#,#(0

    57.(6 0 500 2#,(#0

    5#.14 0 500 2(,070

    5#.'2 0 500 2(,160

    5#.50 0 500 2(,250

    5#.6# 0 500 2(,'40

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    174.42 0 500 2,7(0

    174.60 0 500 2,700

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    174.7# 0 500 2,610

    174.(6 0 500 2,520

    175.14 0 500 2,4'0

    175.'2 0 500 2,'40

    175.50 0 500 2,250

    175.6# 0 500 2,160

    175.#6 0 500 2,070176.04 0 500 1,(#0

    176.22 0 500 1,#(0

    176.40 0 500 1,#00

    176.5# 0 500 1,710

    176.76 0 500 1,620

    176.(4 0 500 1,5'0

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    177.'0 0 500 1,'50

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    177.66 0 500 1,170177.#4 0 500 1,0#0

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    17(.46 0 500 270

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    17(.#2 0 500 (0

    1#0.00 0 500 0

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    0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 160.00 180.00 200.000

    100

    200

    300

    400

    500

    600

    -5,000

    0

    5,000

    10,000

    15,000

    20,000

    25,000

    30,000

    35,000

    Dual Point Loads with Simple Support

    Beam ocation !in"

    )hear orce !lb" Bending +oment !lb*in"

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    geometry defnitions

    length (6.00 in

    applied load 2,000 lbin

    total applied load 1(2,000 lb

    reaction orcesreaction at A (6,000 lb

    reaction at B (6,000 lb

    shear and moment

    max shear (6,000 lb

    max moment 2,'04,000 lb*in

    location shear moment

    0.00 (6,000 %

    0.10 (5,#0# (,2070.1( (5,616 1#,'(5

    0.2( (5,424 27,565

    0.'# (5,2'2 '6,717

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    1.15 (',6(6 10(,265

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    1.'4 (','12 127,21#

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    1.54 (2,(2# 145,0(7

    1.6' (2,7'6 154,00(

    1.7' (2,544 162,(02

    1.#2 (2,'52 171,777

    1.(2 (2,160 1#0,6'4

    2.02 (1,(6# 1#(,472

    2.11 (1,776 1(#,2(1

    2.21 (1,5#4 207,0('

    2.'0 (1,'(2 215,#76

    2.40 (1,200 224,640

    2.50 (1,00# 2'','#6

    2.5( (0,#16 242,114

    2.6( (0,624 250,#2'

    2.7# (0,4'2 25(,51'

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    2.## (0,240 26#,1#6

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    6.#2 #2,'6# 607,#7#

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    7.10 #1,7(2 6'1,517

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    7.20 #1,600 6'(,'60

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    7.6# #0,640 67#,2(#

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    (.7( 76,416 #44,14(

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    11.2' 7',5'6 (52,114

    11.'' 7','44 (5(,164

    11.42 7',152 (66,1(6

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    11.52 72,(60 (7',210

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    11.71 72,576 (#7,1#1

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    1'.06 6(,### 1,0#2,(171'.15 6(,6(6 1,0#(,617

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    14.50 67,00# 1,1#1,4#2

    14.5( 66,#16 1,1#7,(06

    14.6( 66,624 1,1(4,'11

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    14.## 66,240 1,207,066

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    15.07 65,#56 1,21(,747

    15.17 65,664 1,226,060

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    15.46 65,0## 1,244,###

    15.55 64,#(6 1,251,127

    15.65 64,704 1,257,'4#

    15.74 64,512 1,26',550

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    15.#4 64,'20 1,26(,7'4

    15.(4 64,12# 1,275,(00

    16.0' 6',('6 1,2#2,047

    16.1' 6',744 1,2##,176

    16.22 6',552 1,2(4,2#6

    16.'2 6','60 1,'00,'7#

    16.42 6',16# 1,'06,45116.51 62,(76 1,'12,506

    16.61 62,7#4 1,'1#,542

    16.70 62,5(2 1,'24,560

    16.#0 62,400 1,''0,560

    16.(0 62,20# 1,''6,541

    16.(( 62,016 1,'42,504

    17.0( 61,#24 1,'4#,44#

    17.1# 61,6'2 1,'54,'74

    17.2# 61,440 1,'60,2#2

    17.'# 61,24# 1,'66,17117.47 61,056 1,'72,041

    17.57 60,#64 1,'77,#('

    17.66 60,672 1,'#',727

    17.76 60,4#0 1,'#(,542

    17.#6 60,2## 1,'(5,''(

    17.(5 60,0(6 1,401,11#

    1#.05 5(,(04 1,406,#7#

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    1(.#7 56,256 1,512,#16

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    20.06 55,#72 1,52',5#0

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    20.16 55,6#0 1,52#,('4

    20.26 55,4## 1,5'4,270

    20.'5 55,2(6 1,5'(,5##

    20.45 55,104 1,544,##7

    20.54 54,(12 1,550,16#

    20.64 54,720 1,555,4'0

    20.74 54,52# 1,560,67420.#' 54,''6 1,565,(00

    20.(' 54,144 1,571,107

    21.02 5',(52 1,576,2(5

    21.12 5',760 1,5#1,466

    21.22 5',56# 1,5#6,617

    21.'1 5','76 1,5(1,751

    21.41 5',1#4 1,5(6,#66

    21.50 52,((2 1,601,(62

    21.60 52,#00 1,607,040

    21.70 52,60# 1,612,10021.7( 52,416 1,617,141

    21.#( 52,224 1,622,16'

    21.(# 52,0'2 1,627,16#

    22.0# 51,#40 1,6'2,154

    22.1# 51,64# 1,6'7,121

    22.27 51,456 1,642,070

    22.'7 51,264 1,647,001

    22.46 51,072 1,651,(1'

    22.56 50,##0 1,656,#06

    22.66 50,6## 1,661,6#2

    22.75 50,4(6 1,666,5'#

    22.#5 50,'04 1,671,'77

    22.(4 50,112 1,676,1(7

    2'.04 4(,(20 1,6#0,((#

    2'.14 4(,72# 1,6#5,7#2

    2'.2' 4(,5'6 1,6(0,546

    2'.'' 4(,'44 1,6(5,2(2

    2'.42 4(,152 1,700,020

    2'.52 4#,(60 1,704,7'0

    2'.62 4#,76# 1,70(,421

    2'.71 4#,576 1,714,0('

    2'.#1 4#,'#4 1,71#,747

    2'.(0 4#,1(2 1,72','#'

    24.00 4#,000 1,72#,000

    24.10 47,#0# 1,7'2,5((

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    24.2( 47,424 1,741,741

    24.'# 47,2'2 1,746,2#5

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    24.4# 47,040 1,750,#10

    24.5# 46,#4# 1,755,'16

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    24.77 46,464 1,764,274

    24.#6 46,272 1,76#,726

    24.(6 46,0#0 1,77',15#

    25.06 45,### 1,777,57'25.15 45,6(6 1,7#1,(6(

    25.25 45,504 1,7#6,'46

    25.'4 45,'12 1,7(0,706

    25.44 45,120 1,7(5,046

    25.54 44,(2# 1,7((,'6(

    25.6' 44,7'6 1,#0',67'

    25.7' 44,544 1,#07,(5#

    25.#2 44,'52 1,#12,225

    25.(2 44,160 1,#16,474

    26.02 4',(6# 1,#20,70426.11 4',776 1,#24,(15

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    26.40 4',200 1,#'7,440

    26.50 4',00# 1,#41,57#

    26.5( 42,#16 1,#45,6(#

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    2#.#0 '#,400 1,('5,'60

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    2(.0( '7,#24 1,(46,''6

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    2(.'# '7,24# 1,(57,1472(.47 '7,056 1,(60,71'

    2(.57 '6,#64 1,(64,261

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    2(.76 '6,4#0 1,(71,'02

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    '0.'4 '5,'2# 1,((1,(#''0.4' '5,1'6 1,((5,'65

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    ''.12 2(,760 2,0#2,5#6

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    40.'2 15,'60 2,245,01#

    40.42 15,16# 2,246,4#'

    40.51 14,(76 2,247,('0

    40.61 14,7#4 2,24(,'5#

    40.70 14,5(2 2,250,76#

    40.#0 14,400 2,252,160

    40.(0 14,20# 2,25',5''

    40.(( 14,016 2,254,###

    41.0( 1',#24 2,256,224

    41.1# 1',6'2 2,257,542

    41.2# 1',440 2,25#,#42

    41.'# 1',24# 2,260,12'

    41.47 1',056 2,261,'#5

    41.57 12,#64 2,262,62(

    41.66 12,672 2,26',#55

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    41.76 12,4#0 2,265,062

    41.#6 12,2## 2,266,251

    41.(5 12,0(6 2,267,422

    42.05 11,(04 2,26#,574

    42.14 11,712 2,26(,707

    42.24 11,520 2,270,#22

    42.'4 11,'2# 2,271,(1(42.4' 11,1'6 2,272,((7

    42.5' 10,(44 2,274,057

    42.62 10,752 2,275,0((

    42.72 10,560 2,276,122

    42.#2 10,'6# 2,277,126

    42.(1 10,176 2,27#,112

    4'.01 (,(#4 2,27(,0#0

    4'.10 (,7(2 2,2#0,02(

    4'.20 (,600 2,2#0,(60

    4'.'0 (,40# 2,2#1,#724'.'( (,216 2,2#2,766

    4'.4( (,024 2,2#',642

    4'.5# #,#'2 2,2#4,4((

    4'.6# #,640 2,2#5,''#

    4'.7# #,44# 2,2#6,15#

    4'.#7 #,256 2,2#6,(60

    4'.(7 #,064 2,2#7,74'

    44.06 7,#72 2,2##,50#

    44.16 7,6#0 2,2#(,254

    44.26 7,4## 2,2#(,(#2

    44.'5 7,2(6 2,2(0,6(2

    44.45 7,104 2,2(1,'#'

    44.54 6,(12 2,2(2,056

    44.64 6,720 2,2(2,710

    44.74 6,52# 2,2(','46

    44.#' 6,''6 2,2(',(64

    44.(' 6,144 2,2(4,56'

    45.02 5,(52 2,2(5,14'

    45.12 5,760 2,2(5,706

    45.22 5,56# 2,2(6,24(

    45.'1 5,'76 2,2(6,775

    45.41 5,1#4 2,2(7,2#2

    45.50 4,((2 2,2(7,770

    45.60 4,#00 2,2(#,240

    45.70 4,60# 2,2(#,6(2

    45.7( 4,416 2,2((,125

    45.#( 4,224 2,2((,5'(

    45.(# 4,0'2 2,2((,('6

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    46.0# ',#40 2,'00,'14

    46.1# ',64# 2,'00,67'

    46.27 ',456 2,'01,014

    46.'7 ',264 2,'01,''7

    46.46 ',072 2,'01,641

    46.56 2,##0 2,'01,(26

    46.66 2,6## 2,'02,1(446.75 2,4(6 2,'02,442

    46.#5 2,'04 2,'02,67'

    46.(4 2,112 2,'02,##5

    47.04 1,(20 2,'0',07#

    47.14 1,72# 2,'0',254

    47.2' 1,5'6 2,'0',410

    47.'' 1,'44 2,'0',54#

    47.42 1,152 2,'0',66#

    47.52 (60 2,'0',770

    47.62 76# 2,'0',#5'47.71 576 2,'0',(17

    47.#1 '#4 2,'0',(6'

    47.(0 1(2 2,'0',((1

    4#.00 0 2,'04,000

    4#.10 %1(2 2,'0',((1

    4#.1( %'#4 2,'0',(6'

    4#.2( %576 2,'0',(17

    4#.'# %76# 2,'0',#5'

    4#.4# %(60 2,'0',770

    4#.5# %1,152 2,'0',66#

    4#.67 %1,'44 2,'0',54#

    4#.77 %1,5'6 2,'0',410

    4#.#6 %1,72# 2,'0',254

    4#.(6 %1,(20 2,'0',07#

    4(.06 %2,112 2,'02,##5

    4(.15 %2,'04 2,'02,67'

    4(.25 %2,4(6 2,'02,442

    4(.'4 %2,6## 2,'02,1(4

    4(.44 %2,##0 2,'01,(26

    4(.54 %',072 2,'01,641

    4(.6' %',264 2,'01,''7

    4(.7' %',456 2,'01,014

    4(.#2 %',64# 2,'00,67'

    4(.(2 %',#40 2,'00,'14

    50.02 %4,0'2 2,2((,('6

    50.11 %4,224 2,2((,5'(

    50.21 %4,416 2,2((,125

    50.'0 %4,60# 2,2(#,6(2

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    50.40 %4,#00 2,2(#,240

    50.50 %4,((2 2,2(7,770

    50.5( %5,1#4 2,2(7,2#2

    50.6( %5,'76 2,2(6,775

    50.7# %5,56# 2,2(6,24(

    50.## %5,760 2,2(5,706

    50.(# %5,(52 2,2(5,14'51.07 %6,144 2,2(4,56'

    51.17 %6,''6 2,2(',(64

    51.26 %6,52# 2,2(','46

    51.'6 %6,720 2,2(2,710

    51.46 %6,(12 2,2(2,056

    51.55 %7,104 2,2(1,'#'

    51.65 %7,2(6 2,2(0,6(2

    51.74 %7,4## 2,2#(,(#2

    51.#4 %7,6#0 2,2#(,254

    51.(4 %7,#72 2,2##,50#52.0' %#,064 2,2#7,74'

    52.1' %#,256 2,2#6,(60

    52.22 %#,44# 2,2#6,15#

    52.'2 %#,640 2,2#5,''#

    52.42 %#,#'2 2,2#4,4((

    52.51 %(,024 2,2#',642

    52.61 %(,216 2,2#2,766

    52.70 %(,40# 2,2#1,#72

    52.#0 %(,600 2,2#0,(60

    52.(0 %(,7(2 2,2#0,02(

    52.(( %(,(#4 2,27(,0#0

    5'.0( %10,176 2,27#,112

    5'.1# %10,'6# 2,277,126

    5'.2# %10,560 2,276,122

    5'.'# %10,752 2,275,0((

    5'.47 %10,(44 2,274,057

    5'.57 %11,1'6 2,272,((7

    5'.66 %11,'2# 2,271,(1(

    5'.76 %11,520 2,270,#22

    5'.#6 %11,712 2,26(,707

    5'.(5 %11,(04 2,26#,574

    54.05 %12,0(6 2,267,422

    54.14 %12,2## 2,266,251

    54.24 %12,4#0 2,265,062

    54.'4 %12,672 2,26',#55

    54.4' %12,#64 2,262,62(

    54.5' %1',056 2,261,'#5

    54.62 %1',24# 2,260,12'

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    54.72 %1',440 2,25#,#42

    54.#2 %1',6'2 2,257,542

    54.(1 %1',#24 2,256,224

    55.01 %14,016 2,254,###

    55.10 %14,20# 2,25',5''

    55.20 %14,400 2,252,160

    55.'0 %14,5(2 2,250,76#55.'( %14,7#4 2,24(,'5#

    55.4( %14,(76 2,247,('0

    55.5# %15,16# 2,246,4#'

    55.6# %15,'60 2,245,01#

    55.7# %15,552 2,24',5'4

    55.#7 %15,744 2,242,0'2

    55.(7 %15,('6 2,240,511

    56.06 %16,12# 2,2'#,(72

    56.16 %16,'20 2,2'7,414

    56.26 %16,512 2,2'5,#'#56.'5 %16,704 2,2'4,244

    56.45 %16,#(6 2,2'2,6'1

    56.54 %17,0## 2,2'1,000

    56.64 %17,2#0 2,22(,'50

    56.74 %17,472 2,227,6#2

    56.#' %17,664 2,225,((6

    56.(' %17,#56 2,224,2(1

    57.02 %1#,04# 2,222,567

    57.12 %1#,240 2,220,#26

    57.22 %1#,4'2 2,21(,065

    57.'1 %1#,624 2,217,2#7

    57.41 %1#,#16 2,215,4(0

    57.50 %1(,00# 2,21',674

    57.60 %1(,200 2,211,#40

    57.70 %1(,'(2 2,20(,(##

    57.7( %1(,5#4 2,20#,117

    57.#( %1(,776 2,206,227

    57.(# %1(,(6# 2,204,'20

    5#.0# %20,160 2,202,'(4

    5#.1# %20,'52 2,200,44(

    5#.27 %20,544 2,1(#,4#6

    5#.'7 %20,7'6 2,1(6,505

    5#.46 %20,(2# 2,1(4,505

    5#.56 %21,120 2,1(2,4#6

    5#.66 %21,'12 2,1(0,450

    5#.75 %21,504 2,1##,'(4

    5#.#5 %21,6(6 2,1#6,'21

    5#.(4 %21,### 2,1#4,22(

  • 7/24/2019 Beam Diagrams (Fixed Steps)

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    5(.04 %22,0#0 2,1#2,11#

    5(.14 %22,272 2,17(,((0

    5(.2' %22,464 2,177,#42

    5(.'' %22,656 2,175,676

    5(.42 %22,#4# 2,17',4(2

    5(.52 %2',040 2,171,2(0

    5(.62 %2',2'2 2,16(,06(5(.71 %2',424 2,166,#2(

    5(.#1 %2',616 2,164,571

    5(.(0 %2',#0# 2,162,2(5

    60.00 %24,000 2,160,000

    60.10 %24,1(2 2,157,6#7

    60.1( %24,'#4 2,155,'55

    60.2( %24,576 2,15',005

    60.'# %24,76# 2,150,6'7

    60.4# %24,(60 2,14#,250

    60.5# %25,152 2,145,#4460.67 %25,'44 2,14',420

    60.77 %25,5'6 2,140,(7#

    60.#6 %25,72# 2,1'#,51#

    60.(6 %25,(20 2,1'6,0'#

    61.06 %26,112 2,1'',541

    61.15 %26,'04 2,1'1,025

    61.25 %26,4(6 2,12#,4(0

    61.'4 %26,6## 2,125,('#

    61.44 %26,##0 2,12','66

    61.54 %27,072 2,120,777

    61.6' %27,264 2,11#,16(

    61.7' %27,456 2,115,542

    61.#2 %27,64# 2,112,#(7

    61.(2 %27,#40 2,110,2'4

    62.02 %2#,0'2 2,107,552

    62.11 %2#,224 2,104,#51

    62.21 %2#,416 2,102,1''

    62.'0 %2#,60# 2,0((,'(6

    62.40 %2#,#00 2,0(6,640

    62.50 %2#,((2 2,0(',#66

    62.5( %2(,1#4 2,0(1,074

    62.6( %2(,'76 2,0##,26'

    62.7# %2(,56# 2,0#5,4''

    62.## %2(,760 2,0#2,5#6

    62.(# %2(,(52 2,07(,71(

    6'.07 %'0,144 2,076,#'5

    6'.17 %'0,''6 2,07',('2

    6'.26 %'0,52# 2,071,010

  • 7/24/2019 Beam Diagrams (Fixed Steps)

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    6'.'6 %'0,720 2,06#,070

    6'.46 %'0,(12 2,065,112

    6'.55 %'1,104 2,062,1'5

    6'.65 %'1,2(6 2,05(,140

    6'.74 %'1,4## 2,056,126

    6'.#4 %'1,6#0 2,05',0(4

    6'.(4 %'1,#72 2,050,04464.0' %'2,064 2,046,(75

    64.1' %'2,256 2,04',###

    64.22 %'2,44# 2,040,7#2

    64.'2 %'2,640 2,0'7,65#

    64.42 %'2,#'2 2,0'4,515

    64.51 %'',024 2,0'1,'54

    64.61 %'',216 2,02#,174

    64.70 %'',40# 2,024,(76

    64.#0 %'',600 2,021,760

    64.(0 %'',7(2 2,01#,52564.(( %'',(#4 2,015,272

    65.0( %'4,176 2,012,000

    65.1# %'4,'6# 2,00#,710

    65.2# %'4,560 2,005,402

    65.'# %'4,752 2,002,075

    65.47 %'4,(44 1,((#,72(

    65.57 %'5,1'6 1,((5,'65

    65.66 %'5,'2# 1,((1,(#'

    65.76 %'5,520 1,(##,5#2

    65.#6 %'5,712 1,(#5,16'

    65.(5 %'5,(04 1,(#1,726

    66.05 %'6,0(6 1,(7#,270

    66.14 %'6,2## 1,(74,7(5

    66.24 %'6,4#0 1,(71,'02

    66.'4 %'6,672 1,(67,7(1

    66.4' %'6,#64 1,(64,261

    66.5' %'7,056 1,(60,71'

    66.62 %'7,24# 1,(57,147

    66.72 %'7,440 1,(5',562

    66.#2 %'7,6'2 1,(4(,(5#

    66.(1 %'7,#24 1,(46,''6

    67.01 %'#,016 1,(42,6(6

    67.10 %'#,20# 1,('(,0'7

    67.20 %'#,400 1,('5,'60

    67.'0 %'#,5(2 1,('1,664

    67.'( %'#,7#4 1,(27,(50

    67.4( %'#,(76 1,(24,21#

    67.5# %'(,16# 1,(20,467

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    67.6# %'(,'60 1,(16,6(#

    67.7# %'(,552 1,(12,(10

    67.#7 %'(,744 1,(0(,104

    67.(7 %'(,('6 1,(05,27(

    6#.06 %40,12# 1,(01,4'6

    6#.16 %40,'20 1,#(7,574

    6#.26 %40,512 1,#(',6(46#.'5 %40,704 1,##(,7(6

    6#.45 %40,#(6 1,##5,#7(

    6#.54 %41,0## 1,##1,(44

    6#.64 %41,2#0 1,#77,((0

    6#.74 %41,472 1,#74,01#

    6#.#' %41,664 1,#70,02#

    6#.(' %41,#56 1,#66,01(

    6(.02 %42,04# 1,#61,((1

    6(.12 %42,240 1,#57,(46

    6(.22 %42,4'2 1,#5',##16(.'1 %42,624 1,#4(,7((

    6(.41 %42,#16 1,#45,6(#

    6(.50 %4',00# 1,#41,57#

    6(.60 %4',200 1,#'7,440

    6(.70 %4','(2 1,#'',2#4

    6(.7( %4',5#4 1,#2(,10(

    6(.#( %4',776 1,#24,(15

    6(.(# %4',(6# 1,#20,704

    70.0# %44,160 1,#16,474

    70.1# %44,'52 1,#12,225

    70.27 %44,544 1,#07,(5#

    70.'7 %44,7'6 1,#0',67'

    70.46 %44,(2# 1,7((,'6(

    70.56 %45,120 1,7(5,046

    70.66 %45,'12 1,7(0,706

    70.75 %45,504 1,7#6,'46

    70.#5 %45,6(6 1,7#1,(6(

    70.(4 %45,### 1,777,57'

    71.04 %46,0#0 1,77',15#

    71.14 %46,272 1,76#,726

    71.2' %46,464 1,764,274

    71.'' %46,656 1,75(,#04

    71.42 %46,#4# 1,755,'16

    71.52 %47,040 1,750,#10

    71.62 %47,2'2 1,746,2#5

    71.71 %47,424 1,741,741

    71.#1 %47,616 1,7'7,17(

    71.(0 %47,#0# 1,7'2,5((

  • 7/24/2019 Beam Diagrams (Fixed Steps)

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    72.00 %4#,000 1,72#,000

    72.10 %4#,1(2 1,72','#'

    72.1( %4#,'#4 1,71#,747

    72.2( %4#,576 1,714,0('

    72.'# %4#,76# 1,70(,421

    72.4# %4#,(60 1,704,7'0

    72.5# %4(,152 1,700,02072.67 %4(,'44 1,6(5,2(2

    72.77 %4(,5'6 1,6(0,546

    72.#6 %4(,72# 1,6#5,7#2

    72.(6 %4(,(20 1,6#0,((#

    7'.06 %50,112 1,676,1(7

    7'.15 %50,'04 1,671,'77

    7'.25 %50,4(6 1,666,5'#

    7'.'4 %50,6## 1,661,6#2

    7'.44 %50,##0 1,656,#06

    7'.54 %51,072 1,651,(1'7'.6' %51,264 1,647,001

    7'.7' %51,456 1,642,070

    7'.#2 %51,64# 1,6'7,121

    7'.(2 %51,#40 1,6'2,154

    74.02 %52,0'2 1,627,16#

    74.11 %52,224 1,622,16'

    74.21 %52,416 1,617,141

    74.'0 %52,60# 1,612,100

    74.40 %52,#00 1,607,040

    74.50 %52,((2 1,601,(62

    74.5( %5',1#4 1,5(6,#66

    74.6( %5','76 1,5(1,751

    74.7# %5',56# 1,5#6,617

    74.## %5',760 1,5#1,466

    74.(# %5',(52 1,576,2(5

    75.07 %54,144 1,571,107

    75.17 %54,''6 1,565,(00

    75.26 %54,52# 1,560,674

    75.'6 %54,720 1,555,4'0

    75.46 %54,(12 1,550,16#

    75.55 %55,104 1,544,##7

    75.65 %55,2(6 1,5'(,5##

    75.74 %55,4## 1,5'4,270

    75.#4 %55,6#0 1,52#,('4

    75.(4 %55,#72 1,52',5#0

    76.0' %56,064 1,51#,207

    76.1' %56,256 1,512,#16

    76.22 %56,44# 1,507,406

  • 7/24/2019 Beam Diagrams (Fixed Steps)

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    76.'2 %56,640 1,501,(7#

    76.42 %56,#'2 1,4(6,5'1

    76.51 %57,024 1,4(1,066

    76.61 %57,216 1,4#5,5#2

    76.70 %57,40# 1,4#0,0#0

    76.#0 %57,600 1,474,560

    76.(0 %57,7(2 1,46(,02176.(( %57,(#4 1,46',464

    77.0( %5#,176 1,457,###

    77.1# %5#,'6# 1,452,2(4

    77.2# %5#,560 1,446,6#2

    77.'# %5#,752 1,441,051

    77.47 %5#,(44 1,4'5,401

    77.57 %5(,1'6 1,42(,7''

    77.66 %5(,'2# 1,424,047

    77.76 %5(,520 1,41#,'42

    77.#6 %5(,712 1,412,61(77.(5 %5(,(04 1,406,#7#

    7#.05 %60,0(6 1,401,11#

    7#.14 %60,2## 1,'(5,''(

    7#.24 %60,4#0 1,'#(,542

    7#.'4 %60,672 1,'#',727

    7#.4' %60,#64 1,'77,#('

    7#.5' %61,056 1,'72,041

    7#.62 %61,24# 1,'66,171

    7#.72 %61,440 1,'60,2#2

    7#.#2 %61,6'2 1,'54,'74

    7#.(1 %61,#24 1,'4#,44#

    7(.01 %62,016 1,'42,504

    7(.10 %62,20# 1,''6,541

    7(.20 %62,400 1,''0,560

    7(.'0 %62,5(2 1,'24,560

    7(.'( %62,7#4 1,'1#,542

    7(.4( %62,(76 1,'12,506

    7(.5# %6',16# 1,'06,451

    7(.6# %6','60 1,'00,'7#

    7(.7# %6',552 1,2(4,2#6

    7(.#7 %6',744 1,2##,176

    7(.(7 %6',('6 1,2#2,047

    #0.06 %64,12# 1,275,(00

    #0.16 %64,'20 1,26(,7'4

    #0.26 %64,512 1,26',550

    #0.'5 %64,704 1,257,'4#

    #0.45 %64,#(6 1,251,127

    #0.54 %65,0## 1,244,###

  • 7/24/2019 Beam Diagrams (Fixed Steps)

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    #0.64 %65,2#0 1,2'#,6'0

    #0.74 %65,472 1,2'2,'54

    #0.#' %65,664 1,226,060

    #0.(' %65,#56 1,21(,747

    #1.02 %66,04# 1,21',415

    #1.12 %66,240 1,207,066

    #1.22 %66,4'2 1,200,6(7#1.'1 %66,624 1,1(4,'11

    #1.41 %66,#16 1,1#7,(06

    #1.50 %67,00# 1,1#1,4#2

    #1.60 %67,200 1,175,040

    #1.70 %67,'(2 1,16#,5#0

    #1.7( %67,5#4 1,162,101

    #1.#( %67,776 1,155,60'

    #1.(# %67,(6# 1,14(,0##

    #2.0# %6#,160 1,142,554

    #2.1# %6#,'52 1,1'6,001#2.27 %6#,544 1,12(,4'0

    #2.'7 %6#,7'6 1,122,#41

    #2.46 %6#,(2# 1,116,2''

    #2.56 %6(,120 1,10(,606

    #2.66 %6(,'12 1,102,(62

    #2.75 %6(,504 1,0(6,2(#

    #2.#5 %6(,6(6 1,0#(,617

    #2.(4 %6(,### 1,0#2,(17

    #'.04 %70,0#0 1,076,1(#

    #'.14 %70,272 1,06(,462

    #'.2' %70,464 1,062,706

    #'.'' %70,656 1,055,('2

    #'.42 %70,#4# 1,04(,140

    #'.52 %71,040 1,042,''0

    #'.62 %71,2'2 1,0'5,501

    #'.71 %71,424 1,02#,65'

    #'.#1 %71,616 1,021,7#7

    #'.(0 %71,#0# 1,014,(0'

    #4.00 %72,000 1,00#,000

    #4.10 %72,1(2 1,001,07(

    #4.1( %72,'#4 ((4,1'(

    #4.2( %72,576 (#7,1#1

    #4.'# %72,76# (#0,205

    #4.4# %72,(60 (7',210

    #4.5# %7',152 (66,1(6

    #4.67 %7','44 (5(,164

    #4.77 %7',5'6 (52,114

    #4.#6 %7',72# (45,046

  • 7/24/2019 Beam Diagrams (Fixed Steps)

    115/375

    #4.(6 %7',(20 ('7,(5#

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    #5.'4 %74,6## (0(,426

    #5.44 %74,##0 (02,246

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    #5.7' %75,456 ##0,5(#

    #5.#2 %75,64# #7','45

    #5.(2 %75,#40 #66,074

    #6.02 %76,0'2 #5#,7#4

    #6.11 %76,224 #51,475

    #6.21 %76,416 #44,14(

    #6.'0 %76,60# #'6,#04

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    #7.74 %7(,4## 724,414

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    #7.(4 %7(,#72 70(,116

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    ##.(( %#1,(#4 62',656

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  • 7/24/2019 Beam Diagrams (Fixed Steps)

    116/375

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    #(.47 %#2,(44 5#4,07'

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    #(.76 %#',520 560,102

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    (0.#2 %#5,6'2 470,7(0(0.(1 %#5,#24 462,560

    (1.01 %#6,016 454,'12

    (1.10 %#6,20# 446,045

    (1.20 %#6,400 4'7,760

    (1.'0 %#6,5(2 42(,456

    (1.'( %#6,7#4 421,1'4

    (1.4( %#6,(76 412,7(4

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    (2.26 %##,512 '45,406

    (2.'5 %##,704 ''6,(00

    (2.45 %##,#(6 '2#,'75

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