Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 14.8, Problem 84P
Prove that the sum of the normal strains in perpendicular directions is constant. i.e.,
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Chapter 14 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 14.3 - In each ease, the state of stress x, y, xy...Ch. 14.3 - Given the state of stress shown on the element,...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Prob. 2FPCh. 14.3 - Determine the equivalent state of stress on an...Ch. 14.3 - Prob. 4FPCh. 14.3 - The beam is subjected to the load at its end....Ch. 14.3 - Prob. 6FPCh. 14.3 - Prove that the sum of the normal stresses x+y=x+y...Ch. 14.3 - Determine the stress components acting on the...
Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Prob. 6PCh. 14.3 - Prob. 7PCh. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the equivalent state of stress on an...Ch. 14.3 - Prob. 12PCh. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine (a) the principal stresses and (b) the...Ch. 14.3 - Prob. 15PCh. 14.3 - Prob. 16PCh. 14.3 - Prob. 17PCh. 14.3 - Prob. 18PCh. 14.3 - Prob. 19PCh. 14.3 - Prob. 20PCh. 14.3 - Prob. 21PCh. 14.3 - The state of stress at a point in a member is...Ch. 14.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 14.3 - Prob. 24PCh. 14.3 - The internal loadings at a section of the beam are...Ch. 14.3 - The internal loadings at a section of the beam are...Ch. 14.3 - Prob. 27PCh. 14.3 - Prob. 28PCh. 14.3 - The beam has a rectangular cross section and is...Ch. 14.3 - A paper tube is formed by rolling a cardboard...Ch. 14.3 - Prob. 31PCh. 14.3 - The 2-in.-diameter drive shaft AB on the...Ch. 14.3 - Determine the principal stresses in the...Ch. 14.3 - The internal loadings at a cross section through...Ch. 14.3 - The internal loadings at a cross section through...Ch. 14.3 - Prob. 36PCh. 14.3 - The steel pipe has an inner diameter of 2.75 in....Ch. 14.3 - Prob. 38PCh. 14.3 - The wide-flange beam is subjected to the 50-kN...Ch. 14.3 - Prob. 40PCh. 14.3 - The box beam is subjected to the 26-kN force that...Ch. 14.3 - The box beam is subjected to the 26-kN force that...Ch. 14.4 - Use Mohrs circle to determine the normal stress...Ch. 14.4 - Prob. 8FPCh. 14.4 - Prob. 9FPCh. 14.4 - Prob. 10FPCh. 14.4 - Prob. 11FPCh. 14.4 - Prob. 12FPCh. 14.4 - Solve Prob. 142 using Mohrs circle. 14-2.Determine...Ch. 14.4 - Solve Prob. 143 using Mohrs circle. 143.Determine...Ch. 14.4 - Determine the stress components acting on the...Ch. 14.4 - Solve Prob. 1410 using Mohrs circle. 149.Determine...Ch. 14.4 - Solve Prob. 1415 using Mohrs circle. 1415.The...Ch. 14.4 - Solve Prob. 1416 using Mohrs circle....Ch. 14.4 - Prob. 49PCh. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine the equivalent state of stress if an...Ch. 14.4 - Draw Mohrs circle that describes each of the...Ch. 14.4 - Draw Mohrs circle that describes each of the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stress and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Prob. 60PCh. 14.4 - The grains of wood in the board make an angle of...Ch. 14.4 - The post is fixed supported at its base and a...Ch. 14.4 - Determine the principal stresses, the maximum...Ch. 14.4 - The thin-walled pipe has an inner diameter of 0.5...Ch. 14.4 - The frame supports the triangular distributed load...Ch. 14.4 - The frame supports the triangular distributed load...Ch. 14.4 - Prob. 67PCh. 14.4 - The pedal crank for a bicycle has the cross...Ch. 14.4 - A spherical pressure vessel has an inner radius of...Ch. 14.4 - The cylindrical pressure vessel has an inner...Ch. 14.4 - Prob. 71PCh. 14.4 - Determine the principal stress at point D, which...Ch. 14.4 - If the box wrench is subjected to the 50 lb force,...Ch. 14.4 - If the box wrench is subjected to the 50-lb force,...Ch. 14.4 - Prob. 75PCh. 14.5 - Draw the three Mohrs circles that describe each of...Ch. 14.5 - Draw the three Mohrs circles that describe the...Ch. 14.5 - Draw the three Mohrs circles that describe the...Ch. 14.5 - Determine the principal stresses and the absolute...Ch. 14.5 - Prob. 80PCh. 14.5 - Prob. 81PCh. 14.5 - Prob. 82PCh. 14.8 - Prove that the sum of the normal strains in...Ch. 14.8 - The state of strain at the point on the arm has...Ch. 14.8 - The state of strain at the point on the pin leaf...Ch. 14.8 - The state of strain at the point on the pin leaf...Ch. 14.8 - Prob. 88PCh. 14.8 - The state of strain at a point on the bracket has...Ch. 14.8 - Prob. 90PCh. 14.8 - Prob. 91PCh. 14.8 - Prob. 92PCh. 14.8 - Prob. 93PCh. 14.8 - Prob. 94PCh. 14.8 - Prob. 95PCh. 14.8 - Prob. 96PCh. 14.8 - Prob. 97PCh. 14.8 - The state of strain on the element has components...Ch. 14.8 - Solve Prob. 1486 using Mohrs circle. 1486.The...Ch. 14.8 - Solve Prob. 1487 using Mohrs circle. 1486.The...Ch. 14.8 - Solve Prob. 1488 using Mohrs circle. 1488.The...Ch. 14.8 - Solve Prob. 1491 using Mohrs circle. 1491.The...Ch. 14.8 - Solve Prob. 1490 using Mohrs circle. 1489.The...Ch. 14.11 - The strain at point A on the bracket has...Ch. 14.11 - The strain at point A on a beam has components...Ch. 14.11 - The strain at point A on the pressure-vessel wall...Ch. 14.11 - The 45 strain rosette is mounted on the surface of...Ch. 14.11 - Prob. 109PCh. 14.11 - Use Hookes law, Eq. 1432, to develop the strain...Ch. 14.11 - Prob. 111PCh. 14.11 - A rod has a radius of 10 mm. If it is subjected to...Ch. 14.11 - The polyvinyl chloride bar is subjected to an...Ch. 14.11 - The polyvinyl chloride bar is subjected to an...Ch. 14.11 - The spherical pressure vessel has an inner...Ch. 14.11 - Determine the bulk modulus for each of the...Ch. 14.11 - The strain gage is placed on the surface of the...Ch. 14.11 - The principal strains at a point on the aluminum...Ch. 14.11 - Prob. 119PCh. 14.11 - Prob. 120PCh. 14.11 - The cube of aluminum is subjected to the three...Ch. 14.11 - The principal strains at a point on the aluminum...Ch. 14.11 - A uniform edge load of 500 lb/in. and 350 lb/in....Ch. 14.11 - Prob. 124PCh. 14 - The steel pipe has an inner diameter of 2.75 in....Ch. 14 - Prob. 2RPCh. 14 - Prob. 3RPCh. 14 - The crane is used to support the 350-lb load....Ch. 14 - In the case of plane stress, where the in-plane...Ch. 14 - The plate is made of material having a modulus of...Ch. 14 - If the material is graphite for which Eg = 800 ksi...Ch. 14 - A single strain gage, placed in the vertical plane...Ch. 14 - The 60 strain rosette is mounted on a beam. The...
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