For the overhang beam with the cross-section and the applied loads shown, (a) sketch the FBD of the beam and determine the reaction at the supports A and B (b) sketch the shear diagram and detemine the maximum shear force, Vmax (c) determine the area moment of inertia about the neutral axis, I, and (d) determine the transverse shear stresses at C, D, and E on the cross section due to Vmax Cross Section 6 kip 0.2 in 3 kip 3E 0.15 im 1 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
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.5.27P: A small dam of a height h = 6 ft is constructed of vertical wood beams AB, as shown in the figure....
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For the overhang beam with the cross-section and the applied loads shown,
(a) sketch the FBD of the beam and determine the reaction at the supports A and B
(b) sketch the shear diagram and detemine the maximum shear force, Vmax
(c) determine the area moment of inertia about the neutral axis, I, and
(d) determine the transverse shear stresses at C, D, and E on the cross section due to Vmax-
max
6 kip
Cross Section
3 kip
0.2 m
015 m
1 m
1 ft
1 ft
[6] (a) FBD;
reaction at A
reaction at B
[6] (b) shear diagram
Vmax
[6] (c) I=
[12] (d) Tat c =
%3D
Tat D =
Tat E =
%3D
%3D
Transcribed Image Text:For the overhang beam with the cross-section and the applied loads shown, (a) sketch the FBD of the beam and determine the reaction at the supports A and B (b) sketch the shear diagram and detemine the maximum shear force, Vmax (c) determine the area moment of inertia about the neutral axis, I, and (d) determine the transverse shear stresses at C, D, and E on the cross section due to Vmax- max 6 kip Cross Section 3 kip 0.2 m 015 m 1 m 1 ft 1 ft [6] (a) FBD; reaction at A reaction at B [6] (b) shear diagram Vmax [6] (c) I= [12] (d) Tat c = %3D Tat D = Tat E = %3D %3D
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