CALCULATION BEAM ELASTIC FOUNDATIONTYPE S

I. Input Data:

Length, L 13.00 mWidth, b 7.80 mThickness, h 0.40 mModulus, E 2.60E+07 kN/m2Subgrade, K 10000 kN/m3

4.16E-02 m4

0.3664

Point a(m) P(kN) M(kN) Point a(m) b(m) w(kn/m) Momenta1 3.2 370.00 a1 Max 72.11 kNma2 5.7 370.00 a2 Min -248.77 kNma3 a3 Sheara4 a4 Max 209.24 kNa5 a5 Min -226.67 kNa6 a6 Deflection a7 a7 Min -0.071 cma8 a8 Max -0.254 cma9 a9 Bearing pressure

a10 a10 Average -17.323

Inertia, I

kN/m2

0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0

-300.0

-200.0

-100.0

0.0

100.0

200.0

300.0

Moment (kNm) Shear (kN)

0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0

-0.30

-0.25

-0.20

-0.15

-0.10

-0.05

0.00

Deflection (cm)

0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0

-30.00

-25.00

-20.00

-15.00

-10.00

-5.00

Bearing Pressure kN/m2

β =(b0k 04 EI

)1/4

II. DESIGN REINFORCEMENT

II.1 BEDING REINFORCEMENT

Es 200 Ec 26fcu 35 N/mm² 1.05fy 460 N/mm² 1.50Top 16 mm cover 50.00 mm

Bottom 16 mm M 348.271 kNmEffective depth 342 mm

0.04254 286.6965 mm

2779.800 mm2

Choose 2000 mm

Choose 16a130 3015.929 OK 0.44%Plate stiffness

141858.483 kNm

Influence radius defined as

1.941 mII.2 Crak width

The neutral axis position is given by

x1 #VALUE! mmThe stress in the reinforcement

#VALUE!

#VALUE!

#VALUE!

70.71 50.00

#VALUE! mm

II.3 Punching shear Concentrated load 1000 kN

Load area a 200 mm 3.655 OKb 200 mm

kN/mm2 kN/mm2

gsgc

mm2

N/mm2

acr Cmin

N/mm2

0.0 2.0 4.0 6.0 8.0 10.0 12.0 14.0

-30.00

-25.00

-20.00

-15.00

-10.00

-5.00

Bearing Pressure kN/m2

K =M

b∗d2∗fcu z = d [0.5+√0 .25− k0 .9 ]

A s =M

0 .95 f y z

0 .13<100∗A sbh

<4

12bx2+

E sEcA sx−

E sEcA sd=0

f s =M

( d− x3)A s

ε 1=y

(d−x )f yE s

εm=ε 1−bt(h−x )(a '−x )3 Es As (d−x )

wmax=3∗acr∗εm

1+2(acr−cminh−x

)

v=N

(2a+2b )∗d

D=Ech

3

12(1−μc2 )

L=4√ Dk s

mm

3.2 370.005.7 370.008.5 220.0010.2 220.0012.0 220.00

0.0 0.0 0.0 -0.121929 -12.19293 0 10.1 -0.2 2.5 -0.127476 -12.74759 8.582E-07 20.3 -0.7 5.6 -0.133022 -13.30223 1.373E-05 30.4 -1.6 9.2 -0.138568 -13.85675 6.951E-05 40.5 -3.1 13.4 -0.14411 -14.41102 0.00022 50.7 -5.1 18.1 -0.149648 -14.96479 0.000536 60.8 -7.8 23.5 -0.155178 -15.51775 0.001112 70.9 -11.3 29.3 -0.160695 -16.06948 0.00206 81.0 -15.5 35.8 -0.166194 -16.61944 0.003515 91.2 -20.6 42.8 -0.17167 -17.16697 0.00563 101.3 -26.6 50.3 -0.177113 -17.71126 0.008581 111.4 -33.7 58.4 -0.182514 -18.25139 0.012563 121.6 -41.8 67.0 -0.187862 -18.78624 0.017791 131.7 -51.1 76.2 -0.193145 -19.31453 0.024503 141.8 -61.7 85.9 -0.198348 -19.83482 0.032953 151.9 -73.5 96.2 -0.203455 -20.34545 0.04342 162.1 -86.7 106.9 -0.208446 -20.84459 0.056198 172.2 -101.3 118.1 -0.213302 -21.33015 0.071605 182.3 -117.4 129.9 -0.217999 -21.79987 0.089975 192.5 -135.1 142.1 -0.222512 -22.25122 0.111663 202.6 -154.4 154.7 -0.226814 -22.68143 0.137043 212.7 -175.3 167.8 -0.230875 -23.0875 0.166506 222.9 -198.0 181.2 -0.234662 -23.46615 0.200462 233.0 -222.5 195.1 -0.238138 -23.81384 0.239337 243.1 -248.8 209.2 -0.241267 -24.12673 0.283574 253.2 -245.1 -146.3 -0.244011 -24.4011 0.333631 263.4 -227.0 -131.6 -0.246372 -24.63719 0.389983 273.5 -210.9 -116.6 -0.248378 -24.83779 0.453115 283.6 -196.7 -101.5 -0.250054 -25.00541 0.523529 293.8 -184.5 -86.2 -0.251423 -25.14227 0.601734 303.9 -174.3 -70.8 -0.252503 -25.25028 0.688251 314.0 -166.1 -55.3 -0.25331 -25.33102 0.783609 324.2 -159.9 -39.7 -0.253858 -25.38578 0.888344 334.3 -155.8 -24.1 -0.254155 -25.41553 1.002994 344.4 -153.7 -8.4 -0.254209 -25.42091 1.128102 354.5 -153.6 7.2 -0.254022 -25.40225 1.264209 364.7 -155.5 22.8 -0.253596 -25.35956 1.411855 374.8 -159.5 38.3 -0.252925 -25.29255 1.571574 384.9 -165.5 53.8 -0.252006 -25.20058 1.74389 395.1 -173.5 69.1 -0.250827 -25.08273 1.929316 405.2 -183.5 84.4 -0.249377 -24.93775 2.128351 41

5.3 -195.4 99.4 -0.247641 -24.76407 2.341474 425.5 -209.3 114.3 -0.245598 -24.55983 2.569139 435.6 -225.1 128.9 -0.243229 -24.32286 2.811775 445.7 -222.1 -226.7 -0.240508 -24.05079 3.069777 45

5.85 -193.5604 -212.5749 -0.237442 -23.74423 3.343502 465.98 -166.8243 -198.8066 -0.234074 -23.40739 3.633268 47

6.11 -141.8553 -185.3935 -0.230445 -23.04447 3.939339 486.24 -118.6055 -172.3599 -0.226594 -22.65936 4.26193 496.37 -97.02435 -159.7266 -0.222557 -22.2557 4.601192 506.5 -77.05854 -147.5105 -0.218369 -21.83685 4.95721 51

6.63 -58.65293 -135.7255 -0.214059 -21.40594 5.329994 526.76 -41.75076 -124.3823 -0.209659 -20.96585 5.719475 536.89 -26.29403 -113.489 -0.205192 -20.51922 6.125491 547.02 -12.2239 -103.0508 -0.200685 -20.06846 6.547786 557.15 0.519029 -93.07077 -0.196158 -19.61578 6.985996 567.28 11.9944 -83.54994 -0.191632 -19.16316 7.439644 577.41 22.26187 -74.48726 -0.187124 -18.71239 7.908129 587.54 31.38083 -65.88003 -0.182651 -18.26509 8.390718 597.67 39.41023 -57.724 -0.178227 -17.82268 8.886535 607.8 46.40838 -50.01355 -0.173864 -17.38642 9.394553 61

7.93 52.43277 -42.74189 -0.169574 -16.95739 9.913579 628.06 57.53995 -35.9012 -0.165365 -16.53654 10.44225 638.19 61.78538 -29.48275 -0.161247 -16.12468 10.97902 648.32 65.22335 -23.47709 -0.157225 -15.72245 11.52215 658.45 67.90687 -17.87417 -0.153304 -15.33041 12.06969 668.58 69.88763 -12.66344 -0.14949 -14.94897 12.61948 678.71 71.21589 -7.833975 -0.145784 -14.57844 13.16912 688.84 71.9405 -3.374605 -0.14219 -14.21903 13.71599 698.97 72.10883 0.726012 -0.138709 -13.87085 14.2572 709.1 71.76679 4.479288 -0.135339 -13.53393 14.7896 71

9.23 70.95878 7.896621 -0.132082 -13.20823 15.30979 729.36 69.72773 10.98932 -0.128936 -12.8936 15.81406 739.49 68.11514 13.76852 -0.125899 -12.58986 16.29841 749.62 66.16103 16.24515 -0.122968 -12.29676 16.75855 759.75 63.90405 18.42985 -0.12014 -12.014 17.18985 769.88 61.38147 20.33292 -0.117412 -11.74122 17.58739 77

10.01 58.62926 21.96427 -0.11478 -11.47802 17.94588 7810.14 55.68212 23.33343 -0.11224 -11.22398 18.25972 79

10.27 52.57354 24.44945 -0.109786 -10.97864 18.52293 8010.4 49.33586 25.3209 -0.107415 -10.74152 18.7292 81

10.53 46.00035 25.95585 -0.105121 -10.5121 18.87185 8210.66 42.59726 26.36187 -0.102899 -10.28987 18.94383 8310.79 39.15588 26.54595 -0.100743 -10.07429 18.93774 8410.92 35.70465 26.5146 -0.098648 -9.864832 18.84578 8511.05 32.27117 26.27372 -0.09661 -9.660953 18.65981 8611.18 28.88232 25.82871 -0.094621 -9.462116 18.37132 8711.31 25.56434 25.18442 -0.092678 -9.267793 17.97141 88

11.44 22.34282 24.34515 -0.090775 -9.077466 17.45085 8911.57 19.24288 23.3147 -0.088906 -8.890632 16.80006 9011.7 16.28914 22.09637 -0.087068 -8.706806 16.0091 91

11.83 13.50585 20.69296 -0.085255 -8.525528 15.06772 9211.96 10.91689 19.10685 -0.083464 -8.346362 13.96537 9312.09 8.545898 17.33996 -0.081689 -8.168905 12.69119 9412.22 6.416266 15.39384 -0.079928 -7.992787 11.23407 95

12.35 4.551214 13.26967 -0.078177 -7.817674 9.582647 9612.48 2.973828 10.96833 -0.076433 -7.643276 7.725363 9712.61 1.707101 8.490396 -0.074693 -7.469348 5.650473 9812.74 0.773961 5.836254 -0.072957 -7.29569 3.346097 9912.87 0.197302 3.006096 -0.071222 -7.122157 0.80026 100

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