MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Textbook Question
Chapter 10, Problem 7RP
If the strain gages a and b at points give readings of εa = 300(10−6) and εb = 175(10−6), determine the magnitudes of P1 and P2.
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Determine the shear strain gxy at corners A and B if the plastic distorts as shown by the dashed lines.
A force P and a force Q, applied via a nut, are acting on the arm attached to the end of a shaft made of steel. The strain gauge readings on point A of the shaft show the following deformation values: ε1 = 630x10-6, ε2 = 600x10-6, and ε3 = - 189x10-6. Determine the magnitudes of the applied forces P and Q (E = 200 GPa, υ = 0.3).
Determine the shear strain gxy at corners D and C if the plate distorts as shown by the dashed lines.
Chapter 10 Solutions
MECHANICS OF MATERIALS
Ch. 10.3 - Prove that the sum of the normal strains in...Ch. 10.3 - The state of strain at the point on the arm has...Ch. 10.3 - The state of strain at the point on the leaf of...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Determine the equivalent state of strain on an...Ch. 10.3 - Determine the equivalent state of strain which...Ch. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Determine the equivalent state of strain, which...Ch. 10.3 - Solve Prob.103 using Mohrs circle. 103. The state...Ch. 10.5 - The strain at point A on the bracket has...
Ch. 10.5 - Determine (a) the principal strains at A, (b) the...Ch. 10.6 - For the case of plane stress, show that Hookes law...Ch. 10.6 - to develop the strain tranformation equations....Ch. 10.6 - Determine the associated principal stresses at the...Ch. 10.6 - Determine the applied load P. What is the shear...Ch. 10.6 - If a load of P = 3 kip is applied to the A-36...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - Solve Prob.1063 using the maximum distortion...Ch. 10.7 - Prob. 70PCh. 10.7 - The plate is made of Tobin bronze, which yields at...Ch. 10.7 - If a machine part is made of titanium (TI-6A1-4V)...Ch. 10.7 - The components of plane stress at a critical point...Ch. 10.7 - If Y = 50 ksi, determine the factor of safety for...Ch. 10.7 - Prob. 82PCh. 10.7 - If the yield stress for steel is Y = 36 ksi,...Ch. 10.7 - Prob. 84PCh. 10.7 - The state of stress acting at a critical point on...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10 - In the case of plane stress, where the in-plane...Ch. 10 - The plate is made of material having a modulus of...Ch. 10 - If the material is machine steel having a yield...Ch. 10 - Determine if yielding has occurred on the basis of...Ch. 10 - The 60 strain rosette is mounted on a beam. The...Ch. 10 - Use the strain transformation equations to...Ch. 10 - If the strain gages a and b at points give...Ch. 10 - Use the strain-transformation equations and...Ch. 10 - Use the strain transformation equations to...Ch. 10 - Specify the orientation of the corresponding...
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- Determine the shear strain gxy at corners D and C if the plastic distorts as shown by the dashed lines.arrow_forwardA 60º strain rosette, or delta rosette, is composed of three electrical resistance strain gauges arranged as shown in figure 5. Strain gauge A measures the normal strain εa in the x-axis direction. Strain gauges B and C measure the strains εb and εc in the indicated inclined directions. Using Mohr's Circle, obtain the equations for the strains εxx, εyy and γxy associated with the x and y axes.arrow_forwardThe strain components εx, εy, and γxy are given for a point in a body subjected to plane strain. Using Mohr’s circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle θp, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch.εx = 0 με, εy = 310 με, γxy = 280 μrad. Enter the angle such that -45° ≤ θp ≤ +45°.arrow_forward
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