Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 10.6, Problem 31P
to develop the strain tranformation equations. Eqs.10−5 and 10−6, from the stress tranformation equations, Eqs. 9−1 and 9−2.
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A strain gauges system mounted at a point on a structural member that is subjected to multiaxial stress, where
we have the following readings:
Ex = 3.8 x104; &y = 5.5 x10-5; Ez = - 7.5 x10-5; Yy = 9.1 x104;
%3D
Determine the stress components if the member is made of an isotropic material with linear elastic behavior
having the following elastic properties:
Young's modulus E = 200 Gpa and Poisson's ratio v = 0.3;
Select one:
Ох %3D -100 Мра; оу %3D -50 Мра; о, %3D 30 Мра; Тху 3D 70 Мра;
Ox = -75 Mpa; o, = -50 Mpa; 0z = 40 Mpa; Ty = 80 Mpa3;
Oy = 300 Mpa; oy = -150 Mpa; 0z
3 100 Мра;B тyу
= 100 Mpa;
TOSHIBA
E1= 0.0004
Q // The tensile tests were performed on
longitudinal specimens of compact bone. The
strain rosette is mounted on a bone were the
65°
50°
readings are obtained for each gauge as shown in
figure. Determine (a) the principal strains and (b)
the shear strain and average normal strain.
€2 = - 0.0005
65°
€3 = 0.0003
Q1/ The table below shows the values of stress amplitude and life cycles :
Fatigue strength Sf (Mpa)
Number of cycles (Nf)
474
111
417
496
352
3002
316
7065
290
21930
262
66075
The test were done, to estimate the failure, on un-notched axially load specimens under zero mean stress.
Calculate a and b using the stress -life equation.
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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