For the cantilever beam shown in the figure below, invoke the equilibrium of cut free-body sections of the beam to (a) write equations for the shear force and bending moment distributions as functions of x. Include a free-body diagram of each cut section and force and moment balance calculations. Examine the shear force and bending moment formulas and deduce the sign of the deformation within each inter- val. Include a sketch of a deformed material element that illustrates the shear and bending deformation within the interval. (b) Find the shear force of the largest magnitude in the beam and state where it occurs within the beam. (c) Find the bending moment of the largest magnitude in the beam and state where it occurs within the beam. 200 N/m- -0.6 m > X 600 N 0.2 m 0.2 m
For the cantilever beam shown in the figure below, invoke the equilibrium of cut free-body sections of the beam to (a) write equations for the shear force and bending moment distributions as functions of x. Include a free-body diagram of each cut section and force and moment balance calculations. Examine the shear force and bending moment formulas and deduce the sign of the deformation within each inter- val. Include a sketch of a deformed material element that illustrates the shear and bending deformation within the interval. (b) Find the shear force of the largest magnitude in the beam and state where it occurs within the beam. (c) Find the bending moment of the largest magnitude in the beam and state where it occurs within the beam. 200 N/m- -0.6 m > X 600 N 0.2 m 0.2 m
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.3.13P: A counterclockwise moment M0acts at the midpoint of a fixed-end beam ACB of length L (see figure)....
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