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BPD20403 STRUCTURAL ANALYSIS SEMESTER II SESSION 2014/2015 EXERCISE 3 (SUPPORTS) 1) Determine the reactions on the beam with pin support at A and roller support at B. 2) Determine the reactions on the cantilevered beam. 3) Determine the reactions at A, B, and C. Assume that the connection at B is a pin and C is a roller 4) Determine the horizontal and vertical components of reaction at the pins A, B, and C of the two-member frame. A 3 m 1.2 2.1 67.5 kNm 270 kN B 12 m 0.3 m 15 kN/m 5 kN/m A 6 kN/m 4.5 6 m C B A 8 kNm 3 kN/m 8 kN 4 5 C B

STRUCTURAL ANALYSIS Exercise3(Supports)

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Solved Examples Based On Moment Of Inertia About The Centroidal Axis

BPD20403 STRUCTURAL ANALYSIS

SEMESTER II SESSION 2014/2015EXERCISE 3 (SUPPORTS)1) Determine the reactions on the beam with pin support at A and roller support at B.

2) Determine the reactions on the cantilevered beam.

3) Determine the reactions at A, B, and C. Assume that the connection at B is a pin and C is a roller

4) Determine the horizontal and vertical components of reaction at the pins A, B, and C of the two-member frame.

Answer:

1) Ax = 135 kN, Ay = 60.4 kN, By = 173.4 kN2) Ax = 0, Ay = 120 kN, MA = 600 kN.m

3) Ax = 0, Ay = 34.2 kN, MA = 97.3 kN.m, Bx = 0, By = 1.78 kN, Cy = 1.78 kN

4) Bx = 14.7 kN, By = 3 kN, Ax = 9.87 kN, Ay = 9.40 kN, Cx = 14.7 kN, Cy = 3 kN67.5 kNm

270 kN

0.3 m

A

B

2.1 m

1.2 m

3 m

5 kN/m

15 kN/m

A

12 m

8 kNm

6 kN/m

4.5 m

6 m

C

B

A

8 kN

3 kN/m

5

4

C

B

3

2 m

A

2 m

1.5 m

2 m