1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from B to C and a concentrated moment at D. (a) Determine all of the support reactions on the beam (at A). Show free-body diagrams (with all essential components), and clearly annotate all calculations. [ans.: A, = 10 kN; A, = 0; MẠ = 20 kNm] (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. [Ans.: A to B: Q = 10 kN, M = 10x – 20 kNm; B to C: Q = -10x + 15 kN, M = -5x² + 15 x – 21.25 kNm; C to D: Q = 0, M = -10 kNm] (c) Plot the shear force and bending moment diagrams.
1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from B to C and a concentrated moment at D. (a) Determine all of the support reactions on the beam (at A). Show free-body diagrams (with all essential components), and clearly annotate all calculations. [ans.: A, = 10 kN; A, = 0; MẠ = 20 kNm] (b) Use the METHOD OF SECTIONS to determine expressions for the shear force and bending moment along the entire length of the beam. [Ans.: A to B: Q = 10 kN, M = 10x – 20 kNm; B to C: Q = -10x + 15 kN, M = -5x² + 15 x – 21.25 kNm; C to D: Q = 0, M = -10 kNm] (c) Plot the shear force and bending moment diagrams.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.5.14P: A cantilever beam is subjected to load P at mid-span and counterclockwise moment Mat B (see figure)....
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