Statics and Mechanics of Materials - Modified Access
5th Edition
ISBN: 9780134392363
Author: HIBBELER
Publisher: PEARSON
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Chapter 8, Problem 10RP
To determine
Find the shear modulus of the polymer.
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The rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor.
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The bolt has a diameter of 10 mm, and the arm AB has a rectangular cross section that is 12 mm wide by 7 mm thick. Determine the strain energy in the arm due to bending and in the bolt due to axial force. The bolt is tightened so that it has a tension of 500 N. Both members are made of A-36 steel. Neglect the hole in the arm.
Chapter 8 Solutions
Statics and Mechanics of Materials - Modified Access
Ch. 8.4 - Define a homogeneous material.Ch. 8.4 - Prob. 2FPCh. 8.4 - Prob. 3FPCh. 8.4 - Prob. 4FPCh. 8.4 - Prob. 5FPCh. 8.4 - As the temperature increases the modulus of...Ch. 8.4 - Prob. 7FPCh. 8.4 - Prob. 8FPCh. 8.4 - Prob. 9FPCh. 8.4 - Prob. 10FP
Ch. 8.4 - The material for the 50-mm-long specimen has the...Ch. 8.4 - If the elongation of wire BC is 0.2 mm after the...Ch. 8.4 - A tension test was performed on a steel specimen...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Data taken from a stressstrain test for a ceramic...Ch. 8.4 - Prob. 4PCh. 8.4 - The stress-strain diagram for a steel alloy having...Ch. 8.4 - Prob. 6PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 9PCh. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - The stressstrain diagram for an aluminum alloy...Ch. 8.4 - Prob. 12PCh. 8.4 - A bar having a length of 5 in. and cross-sectional...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - The rigid pipe is supported by a pin at A and an...Ch. 8.4 - Prob. 16PCh. 8.4 - The rigid beam is supported by a pin at C and an...Ch. 8.4 - Prob. 18PCh. 8.4 - Prob. 19PCh. 8.6 - A 100 mm long rod has a diameter of 15 mm. If an...Ch. 8.6 - A solid circular rod that is 600 mm long and 20 mm...Ch. 8.6 - Prob. 15FPCh. 8.6 - Prob. 16FPCh. 8.6 - The acrylic plastic rod is 200 mm long and 15 mm...Ch. 8.6 - The plug has a diameter of 30 mm and fits within a...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The elastic portion of the stress-strain diagram...Ch. 8.6 - The brake pads for a bicycle tire arc made of...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - The lap joint is connected together using a 1.25...Ch. 8.6 - Prob. 27PCh. 8.6 - The shear stress-strain diagram for an alloy is...Ch. 8.6 - Prob. 29PCh. 8 - The elastic portion of the tension stress-strain...Ch. 8 - Prob. 2RPCh. 8 - Prob. 3RPCh. 8 - Prob. 4RPCh. 8 - Prob. 5RPCh. 8 - Prob. 6RPCh. 8 - The stress-strain diagram for polyethylene, which...Ch. 8 - The pipe with two rigid caps attached to its ends...Ch. 8 - Prob. 9RPCh. 8 - Prob. 10RP
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- The A-36 steel bar consists of two segments, one ofcircular cross section of radius r, and one of square crosssection. If the bar is subjected to the axial loading of P,determine the dimensions a of the square segment so thatthe strain energy within the square segment is the same asin the circular segment.arrow_forwardThe 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an inner diameter of 14 mm and an outer diameter of 22 mm. The original lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the bolt is tightened the tension in the bolt is 10 kN, determine the change of volume of the bolt and the new length of the sleeve. Wherein both materials behave linearly elastic. Assume the material at A is rigid. E = 70 GPa, Emg = 46 GPa, Ga = 27 GPa, Gmg = 20 GPa.arrow_forwardThe A-36 steel bar consists of two segments, one of a circular cross-section of radius r, and one of square cross-section. If the bar is subjected to the axial loading of P, determine the dimensions of the square segment so that the strain energy within the square segment is the same as in the circular segment.arrow_forward
- : The cylindrical pressure vessel with hemispherical end-caps is made of steel. The vessel has a uniform thickness of 0.44mm and an outer diameter of 9.768mm. When the vessel is pressurized to 0.088 MPa, determine the change in the overall length of the vessel. Use E = 200 GPa and µ = 0.3 for steel. Neglect localized bending.R=22arrow_forwardThe pipe with two rigid caps attached to its ends is subjected to an axial force P. If the pipe is made from a material having a modulus of elasticity E and Poisson’s ratio n, determine the change in volume of the material.arrow_forwardThe rigid beam is supported by three 25-mm diameters A-36 steel rods. If the beam supports the force of P = 230 kN, determine the force developed in each rod. Consider the steel to be an elastic perfectly plastic material.arrow_forward
- The steel pipe is filled with concrete and subjected to a compressive force of 80 kN. Determine the average normal stress in the concrete and the steel due to this loading. The pipe has an outer diameter of 80 mm and an inner diameter of 70 mm. E 200 GPa, Ec= 24 GPa.arrow_forwardThe polysulfone block is glued at its top and bottom to the rigid plates. If a tangential force, applied to the top plate, causes the material to deform so that its sides are described by the equation y = 3.56 x1>4, determine the shear strain at the corners A and B.arrow_forwardThe plate is made of material having a modulus of elasticity E = 200 GPa and Poisson’s ratio n = 1 3. Determine the change in width a, height b, and thickness t when it is subjected to the uniform distributed loading shown.arrow_forward
- The rod has a circular cross section. If it is made of an elastic perfectly plastic material where sY = 345 MPa, determine the maximum elastic moment and plastic moment that can be applied to the cross section.arrow_forwardThe metal strap has a thickness t and width w and is subjected to a temperature gradient T1 to T2 (T1 6 T2). This causes the modulus of elasticity for the material to vary linearly from E1 at the top to a smaller amount E2 at the bottom. As a result, for any vertical position y, measured from the top surface, E = [(E2 - E1)>w]y + E1. Determine the position d where the axial force P must be applied so that the bar stretches uniformly over its cross-section. warrow_forwardThe cylindrical pressure vessel with hemispherical end-caps is made of steel. The vessel has a uniform thickness of 0.02R mm and an outer diameter of 0.444R mm. When the vessel is pressurized to 0.004R MPa, determine the change in the overall length of the vessel. Use E = 200 GPa and µ = 0.3 for steel. Neglect localized bending. Note R=993arrow_forward
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EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY