Use Castigliano’s Theorem (See picture below) Write the Moment function for the real beam. Write the corresponding derivative of the Moment function for the beam with the correct load applied. Write the complete integral for Castigliano’s Theorem. Specify all the integration limits. Calculate the slope and deflection of the beam at one-third of span AC from A.

Principles of Foundation Engineering (MindTap Course List)
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Chapter14: Sheet-pile Walls
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Problem 14.5P
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Use Castigliano’s Theorem

(See picture below)

  1. Write the Moment function for the real beam.
  2. Write the corresponding derivative of the Moment function for the beam with the correct load applied.
  3. Write the complete integral for Castigliano’s Theorem. Specify all the integration limits.
  4. Calculate the slope and deflection of the beam at one-third of span AC from A.
180 kN
15 kN/m
B
D.
5 m
-5 m
El = constant
E = 70 GPa
I = 2,340 (10) mm
Transcribed Image Text:180 kN 15 kN/m B D. 5 m -5 m El = constant E = 70 GPa I = 2,340 (10) mm
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