Civil Engineering - beam question

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SUMMARY

The discussion focuses on solving a civil engineering homework problem related to beam analysis. The total load applied to the beam is 20 kN, resulting in a stress of 100 MPa in each column with solid square cross-sections of 10 x 10 mm. The calculated strain in each column is 4.83 x 10^-4, given a Young’s Modulus (E) of 207 GPa for steel. For part d, participants are advised to draw a Free Body Diagram (FBD) to illustrate the loads and reactions at the supports for further analysis.

PREREQUISITES
  • Understanding of beam loading and support reactions
  • Knowledge of stress and strain calculations in materials
  • Familiarity with Young’s Modulus and its application in structural analysis
  • Ability to create and interpret Free Body Diagrams (FBD)
NEXT STEPS
  • Study beam loading conditions and support reactions in structural engineering
  • Learn about stress and strain relationships in materials using the formula σ = E * ε
  • Explore the principles of Free Body Diagrams for static equilibrium analysis
  • Investigate advanced beam theory, including shear and bending moment calculations
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Civil engineering students, structural engineers, and professionals involved in beam design and analysis will benefit from this discussion.

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Homework Statement



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(a) The total load applied to the beam and its direction (in kN)
(b) The stress (σ) in each column given that Their cross-sections are solid square sections 10 x 10 mm
(in MPa)
(c) The strain in each column if the Young’s Modulus (E) of the steel is 207 GPa.
(d) The internal shear (V), axial (N), and bending moment (M) in the beam at its mid-length.
(e) The distance (in mm) that the left hand end of the beam moves down under the given loading.

The Attempt at a Solution


I think that a is 20kN. B is 100MPa. C is 4.83x10^-4.

I don@t know what to do from here. Any help is appreciated.
 
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For Part d, you should draw a FBD of the beam showing the loads and the reactions at the supports.
 

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