Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Textbook Question
Chapter 8, Problem 8.4.13P
. A cantilever beam (width b = 3 in. and depth h = 6 in,) has a length L = 5 ft and is subjected to a point load P and a concentrated moment M = 20 kip-ft at end B. If normal stress trx= 0 at point C, located 0.5 in. below the top of the beam and 1 ft to the right of point Atfind point load P. Also show the complete state of plane stress on the element at point C.
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For the beam below find the normal
stress at sections in point (B) and (C)
B
75 kN
35 kN 45 kN
85kN
D=40mm
D=80mm
1m
2m
1m
1 Add File
Asimply supported wood beam that is 4,5 m long carries a 32 kN concentrated load at B. The cross-sectional dimensions of the beam
are b-140 mm, d-410 mm, a-75 mm, and c-25 mm. Section a-a is located at x-0.8 m from B.
(a) At section a-a, determine the magnitude of the shear stress in the beam at point H.
(b) At section a-a, determine the magnitude of the shear stress in the beam at point K.
(c) Determine the maximum horizontal shear stress that ocurs in the beam at any location within the entire span.
(d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length.
H
2L
3
Answer:
(a) TH
0.33
kPa
(b) TK
kPa
0.13
kPa
(c) Tmax
0.56
MPa
(d) Omax=
8.16
A beam carries a uniform distributed load of intensity w in N/m. It was determined that Vmax = 7.5w N, (+)Mmax = 5.2w N-m, (-)Mmax = 4.5w N-m. From the given cross section shown, ytop = 64.183 mm, ybot = 135.817 mm, and INA = 25.059 x 10 6 mm4. The allowable stresses are as follows: σfT = 30 MPa, σfC = 60 MPa, and τ = 10 MPa.
a. The safe uniform load considering tensile flexural strees is _____N/m
b. The safe uniform load considering compressive flexural stress is _____ N/m.
c. The moment inertia of the area about the neutral axis is _____ mm^3.
d. The safe uniform load considering maximum shear force is _____ N/m
e. Based on your analysis, the safe uniform load to recommend is _____ N/m.
Chapter 8 Solutions
Mechanics of Materials (MindTap Course List)
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