Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 3.5, Problem 3.9FP
A 10-mm-diameter rod has a modulus of elasticity of E = 100 GPa. If it is 4 m long and subjected to an axial tensile load of 6 kN, determine its elongation. Assume linear elastic behavior.
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If it is 4 mm long and subjected to an axial tensile load of 6 kNkN, determine its elongation. Assume linear-elastic behavior.
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Chapter 3 Solutions
Mechanics of Materials
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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- A bar having a length of 5 in. and a cross-sectional area of 0.7 in.2 is subjected to an axial force of 8000 lb. If the bar stretches 0.002 in., determine the modulus of elasticity of the material. The material has linear elastic behavior.arrow_forwardA 100-mm long rod has a diameter of 15 mm. If an axial tensile load of 165 kN is applied, determine its change in length. Assume linear-elastic behavior with E = 200 GPa.arrow_forwardThe rigid lever arm is supported by two A-36 steel wires having the same diameter of 4 mm. If a force of P = 3 kN is applied to the handle, determine the force developed in both wires and their corresponding elongations. Consider A-36 steel as an elastic perfectly plastic material.arrow_forward
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- A plastic rod is 200mm long and 15mm in diameter. If a tensile load of 300N is applied to it, determine the change in its length and the change in its diameter. Assume Modulus of elasticity (E) = 2.70 GPa, and poisson's ratio (v) = 0.4. indicate free body diagramarrow_forwardThe bar is made of an aluminum alloy having a stress–strain diagram that can be approximated by the straight line segments shown. Assuming that this diagram is the same for both tension and compression, determine the moment the bar will support if the maximum strain at the top and bottom fibers of the beam is Pmax = 0.05.arrow_forwardThe rigid lever arm is supported by two A-36 steel wires having the same diameter of 4 mm. Determine the smallest force P that will cause (a) only one of the wires to yield; (b) both wires to yield. Consider A-36 steel as anelastic perfectly plastic material.arrow_forward
- A steel column is of length 8m and diameter 600 mm with both ends hinged.Determine the crippling load by Euler’s formula. Take 5 E = 2.1x10 N/mm2arrow_forwardA solid steel post having a length of 3m and a diameter of 80 mm is subjected to pure torsion. a) What is the torsional rigidity of the post if the shear modulus of elasticity is 80 GPa? b) Determine the torsional stiffness of the steel post. c) Determine the maximum shear stress in the steel post if it is subjected to a torque of 612 N-m.arrow_forwardThe acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 300 N is applied to it, determine the change in its length and the change in its diameter. Ep = 2.70 GPa, np = 0.4.arrow_forward
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