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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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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