A steel beam (E = 208GPa) has square cross-section (edge = 40mm) and is constrained and loaded as in the figure below: a) Identify and name all the supports and draw the Free Body Diagram of the beam b) Write all the relevant equilibrium equations and find all the reaction forces c) Draw the shear and bending moment diagrams d) What is the average shear stress in the middle of the beam? If the vertical load is removed, what is the final length of the beam after deformation?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A steel beam (E = 208GPa) has square cross-section (edge = 40mm) and is
constrained and loaded as in the figure below:
a) Identify and name all the supports and draw the Free Body Diagram of the
beam
b) Write all the relevant equilibrium equations and find all the reaction forces
c) Draw the shear and bending moment diagrams
d) What is the average shear stress in the middle of the beam? If the vertical
load is removed, what is the final length of the beam after deformation?
250kN
2m
20kN
3m
Figure Q1
20kN →
2m
Ha Ji
Transcribed Image Text:A steel beam (E = 208GPa) has square cross-section (edge = 40mm) and is constrained and loaded as in the figure below: a) Identify and name all the supports and draw the Free Body Diagram of the beam b) Write all the relevant equilibrium equations and find all the reaction forces c) Draw the shear and bending moment diagrams d) What is the average shear stress in the middle of the beam? If the vertical load is removed, what is the final length of the beam after deformation? 250kN 2m 20kN 3m Figure Q1 20kN → 2m Ha Ji
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