Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 3.4, Problem 3.6FP
As the temperature increases the modulus of elasticity will increase. True or false?
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As the temperature increases the modulus of elasticity will increase. True or false?
Part A
Direct tension indicators are sometimes used instead of
torque wrenches to ensure that a bolt has a prescribed
tension when used for connections.
If a nut on the bolt is tightened so that the six 3-mm high heads of the indicator are strained 0.1 mm/mm, and leave a contact
(Figure 1)
area on each head of 1.5 mm“, determine the tension in the bolt shank. The material has the stress-strain diagram shown.
(Figure 2)
Express your answer to three significant figures and include appropriate units.
HA
?
Tigure
1 of 2
T =
Value
Units
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3 mm
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Which of the following statements about the axial deformation formula is FALSE?
a. The formula is applicable at points near the supports and points of application of loads
b. The material may have a gradually varying cross-sectional area
c. The material may have varying internal force across the length
d. The material must exhibit elastic behavior.
Chapter 3 Solutions
Mechanics of Materials (10th Edition)
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 - A tension test was performed on a steel specimen...Ch. 3.4 - Data taken from a stress-strain test for a ceramic...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 - The rigid beam is supported by a pin at C and an...Ch. 3.4 - The rigid beam is supported by a pin at C and an...Ch. 3.4 - Acetal plastic has a stress-strain diagram as...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 bar having a length of 5 in. and cross-sectional...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 - The rigid beam is supported by a pin at C and an...Ch. 3.4 - The rigid beam is supported by a pin at C and an...Ch. 3.4 - The stress-strain diagram for a bone is shown, and...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. 3.4 - The pole is supported by a pin at C and an A-36...Ch. 3.4 - The bar DA is rigid and is originally held in 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 200 mm long and 15 mm...Ch. 3.7 - The plug has a diameter of 30 mm and fits within a...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 brake pads for a bicycle tire are made of...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 - The rubber block is subjected to an elongation of...Ch. 3.7 - The shear stress-strain diagram for an alloy is...Ch. 3.7 - 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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- A brittle material will not yield at all, when it is subjected to external loading Select one: True Falsearrow_forwardIf for a given material, E = 2G (E is modulus of elasticity, G is the shear modulus), then the bulk modulus K will bearrow_forwardWhen an element of material is subjected to deformations that only occur in a single plane, it undergoes plane strain. True or false?arrow_forward
- Please answer these three questions. Thank you! A material has a Poisson’s ratio of -0.2 . Which of the following is true? a. Strain is always compressive regardless of the force applied. b. Lateral and longitudinal strains will have the same sign c. Lateral strain is five times the longitudinal strain. d. The material is ductile and has a high modulus of elasticity. Consider a rod that can carry a maximum stress equal to 200 MPa. If it is to be designed to have a factor of safety against failure equal to 1.5, then the maximum stress that the rod should experience when loaded is nearest to ______ a. 133 MPa b. 150 MPa c. 300 MPa d. 267 MPa Which of the following statements is FALSE? A. The modulus of elasticity of a material can vary between axes. B. The modulus of rigidity can be determined from the shear stress-strain diagram. C. The Poisson’s Ratio can be used in calculating the new diameter in the Necking Region of the stress strain diagram. D. Most materials…arrow_forwardHooke's law is used to correlate true stress and true strain in the plastic region of the stress/strain curve. true or falsearrow_forwardplease give clear answerarrow_forward
- Plastic deformation can only occur in case of torsional force. Select one: a. False b. True Clear my choicearrow_forwardI need help finding the yield strength, yield point, and the other two.arrow_forwardPart of the stress-strain diagram where the material stress lies between the proportional limit and the upper yield pointarrow_forward
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