A simple beam ABC with an overhang supports a uniform load q and a concentrated load P as shown in figure below. The I-beam has following properties: Iz=1339.5 in4 and ly =32.01 inf, and yb = 9.68 in. Assuming the location of the maximum bending moment is at D (10 ft from support A), determine: a. The maximum tensile and compressive stresses at D. b. The maximum permissible value of load P if the allowable normal stress in both tension of compression is 1000 psi. A 10 ft- X P = 2400 lb Y 4 D -24 ft q= 400 lb/ft DI B ²6 ft → с 20 in +y 5 in- 7 in yb

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 5.5.19P: A cantilever beam A3, loaded by a uniform load and a concentrated load (sec figure), is constructed...
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A simple beam ABC with an overhang supports a uniform load q and a concentrated load P as shown in
figure below. The I-beam has following properties: Iz=1339.5 in and ly =32.01 inf, and yb = 9.68 in.
Assuming the location of the maximum bending moment is at D (10 ft from support A), determine:
a. The maximum tensile and compressive stresses at D.
b. The maximum permissible value of load P if the allowable normal stress in both tension of
compression is 1000 psi.
A
10 ft
X
P = 2400 lb
D
24 ft
q = 400 lb/ft
DI
B
²6 ft →
20 in
5 in
7 in
yb
Transcribed Image Text:A simple beam ABC with an overhang supports a uniform load q and a concentrated load P as shown in figure below. The I-beam has following properties: Iz=1339.5 in and ly =32.01 inf, and yb = 9.68 in. Assuming the location of the maximum bending moment is at D (10 ft from support A), determine: a. The maximum tensile and compressive stresses at D. b. The maximum permissible value of load P if the allowable normal stress in both tension of compression is 1000 psi. A 10 ft X P = 2400 lb D 24 ft q = 400 lb/ft DI B ²6 ft → 20 in 5 in 7 in yb
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