Answered: For the beam in shown in the figure,…

For the beam in shown in the figure, determine the vertical displacement at c& and the rotation at A₁ using Castigliano's Theorem in terms of El. 4/2 늘 1/4 B

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.2.22P: Solve the preceding problem for the element shown in the figure.

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

SOLVE STEP BY STEP IN DIGITAL FORMAT THANKS
For the beam in shown in the figure, determine the vertical displacement at cand the
rotation at AA using Castigliano's Theorem in terms of El.
Wo
B

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Step 2: Calculation of deflection at C

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Step 3: Calculation of slope at A

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