A 4 m long simply supported steel reinforced timber beam carrying a uniformly distributed load w = 10 kN/m has the cross-section shown in Fig Q1. The elastic moduli of the steel and wood are 210 GPa and 8.5 GPa, respectively. Calculate the radius of curvature at the composite beam’s midspan. Determine the maximum normal stresses in the steel and the wood under this loading condition. Plot the normal strain and stress distributions across the composite beam section. Determine the composite beam dimensions which ensure that both steel and wood reach their yield strengths at the same time. Assume that yield strengths for steel and wood are 350 MPa and 40 MPa respectively
A 4 m long simply supported steel reinforced timber beam carrying a uniformly distributed load w = 10 kN/m has the cross-section shown in Fig Q1. The elastic moduli of the steel and wood are 210 GPa and 8.5 GPa, respectively. Calculate the radius of curvature at the composite beam’s midspan. Determine the maximum normal stresses in the steel and the wood under this loading condition. Plot the normal strain and stress distributions across the composite beam section. Determine the composite beam dimensions which ensure that both steel and wood reach their yield strengths at the same time. Assume that yield strengths for steel and wood are 350 MPa and 40 MPa respectively
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A 4 m long simply supported steel reinforced timber beam carrying a uniformly distributed load w = 10 kN/m has the cross-section shown in Fig Q1. The elastic moduli of the steel and wood are 210 GPa and 8.5 GPa, respectively.
- Calculate the radius of curvature at the composite beam’s midspan.
- Determine the maximum normal stresses in the steel and the wood under this loading condition.
- Plot the normal strain and stress distributions across the composite beam section.
- Determine the composite beam dimensions which ensure that both steel and wood reach their yield strengths at the same time. Assume that yield strengths for steel and wood are 350 MPa and 40 MPa respectively
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