Explanation Given: The beam is shown below: Calculation: Draw the free body diagram of the beam. Determine the reactions by taking the sum of forces in the vertical direction as follows: A y + B y = w L Take moment about point A as follows: ∑ M A = 0 B y a = w L L 2 B y = w L 2 2 a Substitute in the above equation. A y + B y = w L A y + w L 2 2 a = w L A y = w L − w L 2 2 a Take the section in each segment of the beam as shown below: For segment 0 ≤ x < a , The shear force equation is, V x = w L − w L 2 2 a − w x V A x = 0 = w L − w L 2 2 a − w 0 = w L − w L 2 2 a V B x = a = w L − w L 2 2 a − w a The equation of bending moment is, M x = w L − w L 2 2 a x − w x 2 2 M A x = 0 = w L − w

11th Edition

ISBN: 9780137605460

Author: Russell C. Hibbeler

Publisher: Pearson Education (US)

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Bending Moment

In general, we can define the bending moment as the reaction induced when a certain amount of load or force is applied to an element which makes it bend.

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Chapter 6.2, Problem 42P

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The shear and moment as a function of x and respective diagrams.

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Chapter 6 Solutions

Mechanics of Materials

Ch. 6.2 - and then draw the shear and moment diagrams for...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, express the shear and moment...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - In each case, draw the shear and moment diagrams...Ch. 6.2 - Prob. 1P Ch. 6.2 - Prob. 2P

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