Mechanics Of Materials, Si Edition
9th Edition
ISBN: 9789810694364
Author: Russell C Hibbeler
Publisher: Pearson Education
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Chapter 10.3, Problem 10.18P
To determine
The maximum in-plane shear strain and average normal strain on an element using Mohr’s circle.
To sketch: The deformed element due to the equivalent in-plane strains within x-y plane.
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A gearbox has permanent shaft positions defined by the bearing mounting positions, but the gear ratio can be changed by changing the number of teeth in the pinion and gear. To achieve similar power transmission ability for different gear ratios, a manufacturer chooses to have the same module for two different gearboxes. One of the gaerboxes has a pinion with 22 teeth, a gear with 68 teeth, and a center distance of 225mm. How large is the gear module and which gear ratios are possible for a pinion with 22 or more teeth using the same module?
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Chapter 10 Solutions
Mechanics Of Materials, Si Edition
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 - Prob. 10.3PCh. 10.3 - Prob. 10.4PCh. 10.3 - 10-5. The state of strain at the point on the gear...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Use the strain transformation equations and...Ch. 10.3 - Prob. 10.8PCh. 10.3 - Use the strain transformation equations to...Ch. 10.3 - Use the strain- transformation equations to...
Ch. 10.3 - 10–11. The state of strain on an element has...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 - Prob. 10.17PCh. 10.3 - Prob. 10.18PCh. 10.3 - 10–19. Solve part (a) of Prob. 10–4 using Mohr’s...Ch. 10.3 - *10–20. Solve part (a) of Prob. 10–5 using Mohr’s...Ch. 10.3 - using Mohrs circle. 106. The state of strain at a...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. 10.5 - Prob. 10.24PCh. 10.5 - Prob. 10.25PCh. 10.5 - 10–26. The 60° strain rosette is attached to point...Ch. 10.5 - 10–27. The strain rosette is attached at the point...Ch. 10.5 - Prob. 10.28PCh. 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 modulus of elasticity and Polssons...Ch. 10.6 - If it is subjected to an axial load of 15 N such...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - If it has the original dimensions shown, determine...Ch. 10.6 - A strain gage having a length of 20 mm Is attached...Ch. 10.6 - Determine the bulk modulus for each of the...Ch. 10.6 - The strain gage is placed on the surface of the...Ch. 10.6 - 10–39. The strain in the x direction at point A on...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. 10.6 - The cube of aluminum is subjected to the three...Ch. 10.6 - Prob. 10.43PCh. 10.6 - *10–44. Strain gauge b is attached to the surface...Ch. 10.6 - Prob. 10.45PCh. 10.6 - 10?46. The principal strains in a plane, measured...Ch. 10.6 - 10–47. The principal stresses at a point are shown...Ch. 10.6 - *10–48. The 6061-T6 aluminum alloy plate fits...Ch. 10.6 - Determine the normal stresses x and y in the plate...Ch. 10.6 - The steel shaft has a radius of 15 mm. Determine...Ch. 10.6 - Prob. 10.51PCh. 10.6 - Prob. 10.52PCh. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Air is pumped into the steel thin-walled pressure...Ch. 10.6 - Prob. 10.55PCh. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - The thin-walled cylindrical pressure vessel of...Ch. 10.6 - Prob. 10.58PCh. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - A material is subjected to plane stress. Express...Ch. 10.7 - The yield stress for a zirconium-magnesium alloy...Ch. 10.7 - Solve Prob. 1061 using the maximum distortion...Ch. 10.7 - Prob. 10.63PCh. 10.7 - Prob. 10.64PCh. 10.7 - Prob. 10.65PCh. 10.7 - Prob. 10.66PCh. 10.7 - Prob. 10.67PCh. 10.7 - If the material is machine steel having a yield...Ch. 10.7 - The short concrete cylinder having a diameter of...Ch. 10.7 - 10–70. Derive an expression for an equivalent...Ch. 10.7 - Prob. 10.71PCh. 10.7 - Prob. 10.72PCh. 10.7 - If the 2-in diameter shaft is made from brittle...Ch. 10.7 - If the 2-in diameter shaft is made from cast iron...Ch. 10.7 - 10–75. The components of plane stress at a...Ch. 10.7 - Prob. 10.76PCh. 10.7 - 10–77. If the A-36 steel pipe has outer and inner...Ch. 10.7 - Prob. 10.78PCh. 10.7 - Prob. 10.79PCh. 10.7 - Prob. 10.80PCh. 10.7 - Prob. 10.81PCh. 10.7 - Prob. 10.82PCh. 10.7 - Prob. 10.83PCh. 10.7 - Prob. 10.84PCh. 10.7 - 10–85. The state of stress acting at a critical...Ch. 10.7 - The shaft consists of a solid segment AB and a...Ch. 10.7 - Prob. 10.87PCh. 10.7 - Prob. 10.88PCh. 10.7 - 10–89. The gas tank has an inner diameter of 1.50...Ch. 10.7 - The gas tank is made from A-36 steel and has an...Ch. 10.7 - The internal loadings at a critical section along...Ch. 10.7 - *10–92. The shaft consists of a solid segment AB...Ch. 10.7 - Prob. 10.93PCh. 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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