Bridges are usually modeled as simply supported beams. Your role in a building and construction company is to analyse and design the bridge based on simply supported beam theory. Your manager asked you to perform a stress analysis for bridge element modelled as simply supported beam shown in the Figure.1(a), this task is best achieved by performing the following required steps: 2 KN 3 kN/m 3 kN/m 3kN.m 0.5 kN 4.5 kN 4.5 kN Im+1m -2 m- (a) (b) Figure.1: (a) Bridge element modelled as simply supported beam (b) Beam section For the beam section in Figure.1(b), use the method of superposition to evaluate the deflection equation. (P5) For section A – A, calculate the maximum shear stress if the beam's cross section is shown in Figure.2(a). (D1) If the stress element in Figure.2(b) has the following normal stress values: (0x, Gy, 2) = (-2, 1, 1.5) kN, and the following shear stress values: (Txy, Txz, Tyz)= (0.5, 0, 0) kN.m. Find the principal stresses for all 3 dimensions and draw the Mohr's circle for this 3D element. (P1) 5 сm 15 cm 5 cm 15 cm Figure.2(a): The beam’s cross-section. Figure.2(b): 3D stress element from the simply supported beam.

Bridges are usually modeled as simply supported beams. Your role in a building and construction company is to analyse and design the bridge based on simply supported beam theory. Your manager asked you to perform a stress analysis for bridge element modelled as simply supported beam shown in the Figure.1(a), this task is best achieved by performing the following required steps: 2 KN 3 kN/m 3 kN/m 3kN.m 0.5 kN 4.5 kN 4.5 kN Im+1m -2 m- (a) (b) Figure.1: (a) Bridge element modelled as simply supported beam (b) Beam section For the beam section in Figure.1(b), use the method of superposition to evaluate the deflection equation. (P5) For section A – A, calculate the maximum shear stress if the beam's cross section is shown in Figure.2(a). (D1) If the stress element in Figure.2(b) has the following normal stress values: (0x, Gy, 2) = (-2, 1, 1.5) kN, and the following shear stress values: (Txy, Txz, Tyz)= (0.5, 0, 0) kN.m. Find the principal stresses for all 3 dimensions and draw the Mohr's circle for this 3D element. (P1) 5 сm 15 cm 5 cm 15 cm Figure.2(a): The beam’s cross-section. Figure.2(b): 3D stress element from the simply supported beam.

Structural Analysis

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ISBN:9781337630931

Author:KASSIMALI, Aslam.

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Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Problem 1: (P1, P4, P5, M1, D1, D3)
Bridges are usually modeled as simply supported beams. Your role in a building and construction
company is to analyse and design the bridge based on simply supported beam theory. Your manager
asked you to perform a stress analysis for bridge element modelled as simply supported beam shown in
the Figure.1(a), this task is best achieved by performing the following required steps:
2 KN
3 kN/m
3 kN/m
3kN.m
0.5 kN
2 m-
4.5 kN
4.5 kN
Im+1m
2 m
(a)
(b)
Figure.1: (a) Bridge element modelled as simply supported beam (b) Beam section
For the beam section in Figure.1(b), use the method of superposition to evaluate the deflection
equation. (P5)
For section A – A, calculate the maximum shear stress if the beam's cross section is shown in
Figure.2(a). (D1)
If the stress element in Figure.2(b) has the following normal stress values: (0,, 0y, 02) = (-2, 1, 1.5)
kN, and the following shear stress values: (Txy, Txz, Tyz)= (0.5, 0, 0) kN.m. Find the principal
stresses for all 3 dimensions and draw the Mohr's circle for this 3D element. (P1)
5 ст
15 cm
5 cm
15 cm
Figure.2(a): The beam's cross-section. Figure.2(b): 3D stress element from the simply supported beam.

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