MECHANICS OF MATERIALS-TEXT
9th Edition
ISBN: 2810014920922
Author: HIBBELER
Publisher: PEARSON
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Textbook Question
Chapter 3, Problem 3.39RP
The wires each have a diameter of
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3. An engine has three cylinders spaced at 120° to each other. The crank torque diagram can be simplified to a
triangle having the following values:
Angle
0°
Torque (Nm)
0
(a) What is the mean torque?
60°
4500
180°
180° to 360°
0
0
(b) What moment of inertia of flywheel is required to keep the speed to within 180 ± 3 rpm?
(c) If one cylinder of the engine is made inoperative and it is assumed that the torque for this cylinder is
zero for all crank angles, determine the fluctuation in speed at 180rpm for the same flywheel.
(a) 3375 Nm
(b) 50kgm
(c) ±21 rpm
Prob 5.
Determine the largest load P that can be applied to
the frame without causing either the average
normal stress or the average shear stress at section
a-a to exceed o-150 MPa and 1-60 MPa,
respectively.
Member CB has a square cross section of 25 mm
on each side.
2 m
FAC
1.5 m
Fac
Derive the component transformation equations for tensors shown below where [C] = [BA] is the DCM (direction cosine matrix) from frame A to B.
^B [T] = [C]^A [T] [C]^T
Chapter 3 Solutions
MECHANICS OF MATERIALS-TEXT
Ch. 3.5 - Define a homogeneous material.Ch. 3.5 - Indicate the points on the stress-strain diagram...Ch. 3.5 - Define the modulus of elasticity E.Ch. 3.5 - At room temperature, mild steel is a ductile...Ch. 3.5 - Engineering stress and strain are calculated using...Ch. 3.5 - As the temperature increases the modulus of...Ch. 3.5 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.5 - A bar has a length of 8 in. and cross-sectional...Ch. 3.5 - A 10-mm-diameter rod has a modulus of elasticity...Ch. 3.5 - The material for the 50-mm-long specimen has the...
Ch. 3.5 - The material for the 50-mm-long specimen has the...Ch. 3.5 - If the elongation of wire BC is 0.2 mm after the...Ch. 3.5 - A tension test was performed on a steel specimen...Ch. 3.5 - Data taken from a stress-strain test for a ceramic...Ch. 3.5 - Data taken from a stress-strain test for a ceramic...Ch. 3.5 - Prob. 3.4PCh. 3.5 - 3-5. A tension test was performed on a steel...Ch. 3.5 - 3-6. A specimen is originally 1 ft long, has a...Ch. 3.5 - Prob. 3.7PCh. 3.5 - Prob. 3.8PCh. 3.5 - 3-9. The ?-? diagram for elastic fibers that make...Ch. 3.5 - Prob. 3.10PCh. 3.5 - Prob. 3.11PCh. 3.5 - Prob. 3.12PCh. 3.5 - A bar having a length of 5 in. and cross-sectional...Ch. 3.5 - The rigid pipe is supported by a pin at A and an...Ch. 3.5 - Prob. 3.15PCh. 3.5 - Prob. 3.16PCh. 3.5 - Prob. 3.17PCh. 3.5 - Prob. 3.18PCh. 3.5 - The stress-strain diagram for a bone is shown, and...Ch. 3.5 - The stress-strain diagram for a bone is shown and...Ch. 3.5 - The two bars are made of a material that has the...Ch. 3.5 - The two bars are made of a material that has the...Ch. 3.5 - Prob. 3.23PCh. 3.5 - Prob. 3.24PCh. 3.8 - A 100-mm-long rod has a diameter of 15 mm. If an...Ch. 3.8 - A solid circular rod that is 600 mm long and 20 mm...Ch. 3.8 - A 20-mm-wide block is firmly bonded to rigid...Ch. 3.8 - A 20-mm-wide block is bonded to rigid plates at...Ch. 3.8 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 3.8 - 3–26. The thin-walled tube is subjected to an...Ch. 3.8 - 3-27. When the two forces are placed on the beam,...Ch. 3.8 - Prob. 3.28PCh. 3.8 - Prob. 3.29PCh. 3.8 - The lap joint is connected together using a 1.25...Ch. 3.8 - The lap joint is connected together using a 1.25...Ch. 3.8 - Prob. 3.32PCh. 3.8 - Prob. 3.33PCh. 3.8 - A shear spring is made from two blocks of rubber,...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 - The wires each have a diameter of 12 in., length...Ch. 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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