Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 2.2, Problem 2.1PP
A loading causes the member to deform into the dashed shape. Explain how to determine the normal strains εCD and εAB. The displacement Δ and the lettered dimensions are known.
P2–1
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1. A loading causes the member to deform into the dashed shape. Explain how to
determine the normal strains ɛcd and ɛAB. The displacement A and the lettered
dimensions are known.
B
L.
L/2
A
2 L
(а)
L.
B
L/2
A
2 L
(b)
Determine the average normal strain along diagonal DB, based on the original plate (blue) and the deformed shaped (dashed line):
2 mm
y
C
300 mm
12 mm
D
-400 mm
A
5 mm
B
3 mm
4 mm
12 mm
X
In its undeformed state the assembly is represented by A-B-C-D, with theta = 0.53 in radians. The deformed shape is: A’-B’-C’-D. The deformation is such that the normal strain in AB is: ϵAB = 0.033 and that in CB is: ϵCB=0.031. Calculate the normal strain in BD (correctly up to four decimal places) neglecting the higher-order contributions due to the normal strains in AB and CB.
Chapter 2 Solutions
Mechanics of Materials
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Ch. 2.2 - Prob. 2.1PCh. 2.2 - Prob. 2.2PCh. 2.2 - Prob. 2.3PCh. 2.2 - Prob. 2.4PCh. 2.2 - Prob. 2.5PCh. 2.2 - Prob. 2.6PCh. 2.2 - The pin-connected rigid rods AB and BC are...Ch. 2.2 - Prob. 2.8PCh. 2.2 - Prob. 2.9PCh. 2.2 - Prob. 2.10PCh. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - Prob. 2.13PCh. 2.2 - Prob. 2.14PCh. 2.2 - Prob. 2.15PCh. 2.2 - Prob. 2.16PCh. 2.2 - Prob. 2.17PCh. 2.2 - Determine the shear strain xy at corners A and B...Ch. 2.2 - Determine the shear strain xy at corners D and C...Ch. 2.2 - Determine the average normal strain that occurs...Ch. 2.2 - Prob. 2.21PCh. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - Prob. 2.25PCh. 2.2 - Prob. 2.26PCh. 2.2 - Prob. 2.27PCh. 2.2 - Prob. 2.28PCh. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - Prob. 2.31PCh. 2.2 - Prob. 2.32PCh. 2.2 - The fiber AB has a length L and orientation . If...Ch. 2.2 - If the normal strain is defined in reference to...
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