Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 4.6, Problem 86P
The metal strap has a thickness t and width w and is subjected to a temperature gradient T1 to T2: (T1<T2). This causes the modulus of elasticity for the material to vary linearly from E1 at the top to a smaller amount E2 at the bottom. As a result, for any vertical position y, measured from the top surface. E=[(E2−E1)/w]y+E1. Determine the position d where the axial force P must be applied so that the bar stretches uniformly over its cross section.
Prob. 4–86
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The metal strap has a thickness t and width w and is subjected to a temperature gradient T1 to T2 (T1 6 T2). This causes the modulus of elasticity for the material to vary linearly from E1 at the top to a smaller amount E2 at the bottom. As a result, for any vertical position y, measured from the top surface, E = [(E2 - E1)>w]y + E1. Determine the position d where the axial force P must be applied so that the bar stretches uniformly over its cross-section. w
3. The elastic portion of the stress-strain diagram for a steel alloy is shown in the figure
below. The specimen from which it was obtained had an original diameter of 13 mm
and a gauge length of 50 mm. If a load of P = 20 kN is applied to the specimen,
determine its diameter and gauge length. Take v = 0.4
σ (MPa)
400
0.002
e(mm/mm)
The strain gauge is installed on the material for use, ②according to the change of the load material ①, the final change of the circuit ③.② Increase or decrease according to the tension or compression environment. This principle is because the ④ and ⑤ of the strain gauge change according to the change of the material ①.
①
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③
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⑤
Chapter 4 Solutions
Mechanics of Materials
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