Two wooden planks 50 mm x 150 mm are built-up into an upright T-section. The said built-up is to be used in the beam system below. Determine the maximum compressive and tensile bending stress of the beam system below using the given section. Also, determine the transverse shear stress of the beam system below using the given section. Furthermore, determine the transverse shear stress at the junction of flange and web. 30 kN T 20 kN/m 50 kN-m B 3 m 2 m

Two wooden planks 50 mm x 150 mm are built-up into an upright T-section. The said built-up is to be used in the beam system below. Determine the maximum compressive and tensile bending stress of the beam system below using the given section. Also, determine the transverse shear stress of the beam system below using the given section. Furthermore, determine the transverse shear stress at the junction of flange and web. 30 kN T 20 kN/m 50 kN-m B 3 m 2 m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

Two wooden planks 50 mm x 150 mm are built-up into an upright T-section. The said built-up is to be used
in the beam system below. Determine the maximum compressive and tensile bending stress of the beam
system below using the given section. Also, determine the transverse shear stress of the beam system below
using the given section. Furthermore, determine the transverse shear stress at the junction of flange and
web.
30 kN
20 kN/m
A
50 kN-m B
'C
3 m
2 m
RA
Rc

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Step 2 : Shear force diagram (SFD)

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Step 3 : Bending moment diagram

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Step 4 : Bending stress

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Step 5 : Shear stress

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Step 6 : Bending and Shear stress diagram

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