Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 3.4, Problem 10FP
The material for the 50-mm-long specimen has the stress-strain diagram shown. If P = 100 kN, determine the elongation of the specimen.
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The two bars are used to support load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the
coordinate position (-0.47 in., -0.16 in.). Assume a - 17 ft, b-34 ft, c-12 ft, and d - 24 ft. Determine the normal strain in each bar.
Answer:
EAB-
T
EBC
i
P
a
e
(1)
B
UE
με
b
(2)
C
d
Determine the elastic tensile load "F" that acts
on mild steel specimen of Diameter 9 mm &
Modulus of Elasticity 201 GPa. It is found that
the specimen has undergone an extension of 1
mm due to the elastic load "F". Also, determine
the length "L" of the specimen, if the strain-
induced due to the load "F" on the specimen is
3.6 x 10-³.
Solution
Cross-sectional Area, A (in mm²) =
63.617
One possible correct answer is: 63.617251235193
Tensile Stress, (in N/mm²)
723.6
One possible correct answer is: 723.6
Tensile Load, (in N) =
=
46033.261
One possible correct answer is: 46033.442993786
Length of the Specimen (in mm)
4.366
X
One possible correct answer is: 277.77777777778
Determine the elastic tensile load "F" that acts on mild steel specimen of Diameter 5 mm & Modulus of Elasticity 207 GPa. It is found that the specimen has undergone an extension of
1.2 mm due to the elastic load "F". Also, determine the length "L" of the specimen, if the strain-induced due to the load "F" on the specimen is 3 x 10-³.
Solution
Cross-sectional Area, A (in mm²) =
Tensile Stress, (in N/mm²) =
Tensile Load, (in N) =
Length of the Specimen (in mm)
Chapter 3 Solutions
Mechanics of Materials
Ch. 3.4 - Define a homogeneous material.Ch. 3.4 - Indicate the points on the stress-strain diagram...Ch. 3.4 - Define the modulus of elasticity E.Ch. 3.4 - At room temperature, mild steel is a ductile...Ch. 3.4 - Engineering stress and strain are calculated using...Ch. 3.4 - As the temperature increases the modulus of...Ch. 3.4 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.4 - A bar has a length of 8 in. and cross-sectional...Ch. 3.4 - A 10-mm-diameter rod has a modulus of elasticity...Ch. 3.4 - The material for the 50-mm-long specimen has the...
Ch. 3.4 - The material for the 50-mm-long specimen has the...Ch. 3.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 3.4 - Data taken from a stress-strain test for a ceramic...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - The stress-strain diagram for a steel alloy having...Ch. 3.4 - Determine the elongation of the square hollow bar...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - The stress-strain diagram for an aluminum alloy...Ch. 3.4 - A structural member in a nuclear reactor is made...Ch. 3.4 - The rigid pipe is supported by a pin at A and an...Ch. 3.4 - The rigid pipe is supported by a pin at A and an...Ch. 3.4 - Direct tension indicators are sometimes used...Ch. 3.4 - A tension test was performed on a magnesium alloy...Ch. 3.4 - The stress-strain diagram for a bone is shown and...Ch. 3.4 - The two bars are made of a material that has the...Ch. 3.4 - The two bars are made of a material that has the...Ch. 3.7 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.7 - A solid circular rod that is 600 mm long and 20 mm...Ch. 3.7 - A 20-mm-wide block is firmly bonded to rigid...Ch. 3.7 - A 20-mm-wide block is bonded to rigid plates at...Ch. 3.7 - The acrylic plastic rod is 400mm long and 20mm in...Ch. 3.7 - The elastic portion of the stress-strain diagram...Ch. 3.7 - The elastic portion of the stress-strain diagram...Ch. 3.7 - The lap joint is connected together using a 1.25...Ch. 3.7 - The lap joint is connected together using a 1.25...Ch. 3.7 - Prob. 32PCh. 3.7 - The thin-walled tube is subjected to an axial...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The elastic portion of the tension stress-strain...Ch. 3 - The rigid beam rests in the horizontal position on...Ch. 3 - The wires each have a diameter of 12 in., length...Ch. 3 - Prob. 5RPCh. 3 - diameter steel bolts. If the clamping force in...Ch. 3 - The stress-strain diagram for polyethylene, which...Ch. 3 - The pipe with two rigid caps attached to its ends...Ch. 3 - The 8-mm-diameter bolt is made of an aluminum...Ch. 3 - An acetal polymer block is fixed to the rigid...
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