EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220102804487
Author: BEER
Publisher: YUZU
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Chapter 7.9, Problem 142P
(a)
To determine
Find the orientation and magnitude of the principal strains.
(b)
To determine
Find the maximum in-plane strain.
(c)
To determine
Find the maximum shearing strain.
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Chapter 7 Solutions
EBK MECHANICS OF MATERIALS
Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.1 through 7.4 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.5 through 7.8 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...
Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.9 through 7.12 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.13 through 7.16 For the given state of stress,...Ch. 7.1 - 7.17 and 7.18 The grain of a wooden member forms...Ch. 7.1 - 7.17 and 7.18 The grain of a wooden member forms...Ch. 7.1 - Two wooden members of 80 120-mm uniform...Ch. 7.1 - Two wooden members of 80 120-mm uniform...Ch. 7.1 - The centric force P is applied to a short post as...Ch. 7.1 - Two members of uniform cross section 50 80 mm are...Ch. 7.1 - The axle of an automobile is acted upon by the...Ch. 7.1 - A 400-lb vertical force is applied at D to a gear...Ch. 7.1 - A mechanic uses a crowfoot wrench to loosen a bolt...Ch. 7.1 - The steel pipe AB has a 102-mm outer diameter and...Ch. 7.1 - For the state of plane stress shown, determine the...Ch. 7.1 - For the state of plane stress shown, determine (a)...Ch. 7.1 - For the state of plane stress shown, determine (a)...Ch. 7.1 - Determine the range of values of x for which the...Ch. 7.2 - Solve Probs. 7.5 and 7.9, using Mohr's circle. 7.5...Ch. 7.2 - Solve Probs. 7.7 and 7.11, using Mohrs circle. 7.5...Ch. 7.2 - Solve Prob. 7.10, using Mohrs circle. 7.9 through...Ch. 7.2 - Solve Prob. 7.12, using Mohr's circle. 7.9 through...Ch. 7.2 - Solve Prob. 7.13, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.14, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.15, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.16, using Mohr's circle. 7.13...Ch. 7.2 - Solve Prob. 7.17, using Mohr's circle. 7.17 and...Ch. 7.2 - Solve Prob. 7.18, using Mohr's circle. 7.17 and...Ch. 7.2 - Solve Prob. 7.19, using Mohr's circle. 7.19 Two...Ch. 7.2 - Solve Prob. 7.20, using Mohr's circle. 7.20 Two...Ch. 7.2 - Solve Prob. 7.21, using Mohrs circle. 7.21 The...Ch. 7.2 - Solve Prob. 7.22, using Mohrs circle. 7.22 Two...Ch. 7.2 - Solve Prob. 7.23, using Mohr's circle. 7.23 The...Ch. 7.2 - Solve Prob. 7.24, using Mohr's circle 7.24 A...Ch. 7.2 - Solve Prob. 7.25, using Mohrs circle. 7.25 A...Ch. 7.2 - Solve Prob. 7.26, using Mohrs circle. 7.26 The...Ch. 7.2 - Solve Prob. 7.27, using Mohr's circle. 7.27 For...Ch. 7.2 - Solve Prob. 7.28, using Mohrs circle. 7.28 For the...Ch. 7.2 - Solve Prob. 7.29, using Mohr's circle. 7.29 For...Ch. 7.2 - Solve Prob. 7.30, using Mohrs circle. 7.30...Ch. 7.2 - Solve Prob. 7.29, using Mohr's circle and assuming...Ch. 7.2 - 7.54 and 7.55 Determine the principal planes and...Ch. 7.2 - 7.54 and 7.55 Determine the principal planes and...Ch. 7.2 - 7.56 and 7.57 Determine the principal planes and...Ch. 7.2 - 7.56 and 7.57 Determine the principal planes and...Ch. 7.2 - For the element shown, determine the range of...Ch. 7.2 - For the element shown, determine the range of...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, determine the range...Ch. 7.2 - For the state of stress shown, it is known that...Ch. 7.2 - The Mohr's circle shown corresponds to the state...Ch. 7.2 - (a) Prove that the expression xy 2xywhere x,...Ch. 7.5 - For the state of plane stress shown, determine the...Ch. 7.5 - For the state of plane stress shown, determine the...Ch. 7.5 - For the state of stress shown, determine the...Ch. 7.5 - For the state of stress shown, determine the...Ch. 7.5 - 7.70 and 7.71 For the state of stress shown,...Ch. 7.5 - 7.70 and 7.71 For the state of stress shown,...Ch. 7.5 - 7.72 and 7.73 For the state of stress shown,...Ch. 7.5 - 7.72 and 7.73 For the state of stress shown,...Ch. 7.5 - For the state of stress shown, determine the value...Ch. 7.5 - For the state of stress shown, determine the value...Ch. 7.5 - Prob. 76PCh. 7.5 - For the state of stress shown, determine two...Ch. 7.5 - For the state of stress shown, determine the range...Ch. 7.5 - Prob. 79PCh. 7.5 - Prob. 80PCh. 7.5 - The state of plane stress shown occurs in a...Ch. 7.5 - Prob. 82PCh. 7.5 - The state of plane stress shown occurs in a...Ch. 7.5 - Solve Prob. 7.83, using the...Ch. 7.5 - The 38-mm-diameter shaft AB is made of a grade of...Ch. 7.5 - Solve Prob. 7.85, using the...Ch. 7.5 - The 1.5-in.-diameter shaft AB is made of a grade...Ch. 7.5 - Prob. 88PCh. 7.5 - Prob. 89PCh. 7.5 - Prob. 90PCh. 7.5 - Prob. 91PCh. 7.5 - Prob. 92PCh. 7.5 - Prob. 93PCh. 7.5 - Prob. 94PCh. 7.5 - Prob. 95PCh. 7.5 - Prob. 96PCh. 7.5 - Prob. 97PCh. 7.6 - A spherical pressure vessel has an outer diameter...Ch. 7.6 - A spherical gas container having an inner diameter...Ch. 7.6 - The maximum gage pressure is known to be 1150 psi...Ch. 7.6 - Prob. 101PCh. 7.6 - Prob. 102PCh. 7.6 - A basketball has a 300-mm outer diameter and a...Ch. 7.6 - The unpressurized cylindrical storage tank shown...Ch. 7.6 - Prob. 105PCh. 7.6 - Prob. 106PCh. 7.6 - Prob. 107PCh. 7.6 - Prob. 108PCh. 7.6 - Prob. 109PCh. 7.6 - Prob. 110PCh. 7.6 - Prob. 111PCh. 7.6 - The cylindrical portion of the compressed-air tank...Ch. 7.6 - Prob. 113PCh. 7.6 - Prob. 114PCh. 7.6 - Prob. 115PCh. 7.6 - Square plates, each of 0.5-in. thickness, can be...Ch. 7.6 - The pressure tank shown has a 0.375-in. wall...Ch. 7.6 - Prob. 118PCh. 7.6 - Prob. 119PCh. 7.6 - A pressure vessel of 10-in. inner diameter and...Ch. 7.6 - Prob. 121PCh. 7.6 - A torque of magnitude T = 12 kN-m is applied to...Ch. 7.6 - The tank shown has a 180-mm inner diameter and a...Ch. 7.6 - The compressed-air tank AB has a 250-rnm outside...Ch. 7.6 - In Prob. 7.124, determine the maximum normal...Ch. 7.6 - Prob. 126PCh. 7.6 - Prob. 127PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - Prob. 130PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - Prob. 132PCh. 7.9 - Prob. 133PCh. 7.9 - Prob. 134PCh. 7.9 - 7.128 through 7.131 For the given state of plane...Ch. 7.9 - 7.136 through 7.139 The following state of strain...Ch. 7.9 - Prob. 137PCh. 7.9 - Prob. 138PCh. 7.9 - Prob. 139PCh. 7.9 - Prob. 140PCh. 7.9 - 7.140 through 7.143 For the given state of plane...Ch. 7.9 - Prob. 142PCh. 7.9 - Prob. 143PCh. 7.9 - Prob. 144PCh. 7.9 - The strains determined by the use of the rosette...Ch. 7.9 - Prob. 146PCh. 7.9 - Prob. 147PCh. 7.9 - Show that the sum of the three strain measurements...Ch. 7.9 - Prob. 149PCh. 7.9 - Prob. 150PCh. 7.9 - Solve Prob. 7.150, assuming that the rosette at...Ch. 7.9 - Prob. 152PCh. 7.9 - Prob. 153PCh. 7.9 - Prob. 154PCh. 7.9 - Prob. 155PCh. 7.9 - The given state of plane stress is known to exist...Ch. 7.9 - The following state of strain has been determined...Ch. 7 - A steel pipe of 12-in. outer diameter is...Ch. 7 - Two steel plates of uniform cross section 10 80...Ch. 7 - Prob. 160RPCh. 7 - Prob. 161RPCh. 7 - For the state of stress shown, determine the...Ch. 7 - For the state of stress shown, determine the value...Ch. 7 - The state of plane stress shown occurs in a...Ch. 7 - The compressed-air tank AB has an inner diameter...Ch. 7 - For the compressed-air tank and loading of Prob....Ch. 7 - Prob. 167RPCh. 7 - Prob. 168RPCh. 7 - Prob. 169RP
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- "11-17 The shaft shown in Figure P11-3 was designed in Problem 10-17. For the data in the row(s) assigned from Table P11-1, and the corresponding diameter of shaft found in Problem 10-17, design suitable bearings to support the load for at least 1E8 cycles at 1800 rpm. State all assumptions. (a) Using hydrodynamically lubricated bronze sleeve bearings with Ox = 15, 11d=0.75, and a clearance ratio of 0.001. ✓ ✓ cast-iron roller FIGURE P11-3 Shaft Design for Problems 11-17 b gear key assume bearings act as simple supports 11-19 The shaft shown in Figure P11-4 was designed in Problem 10-19. For the data in the row(s) assigned from Table P11-1, and the corresponding diameter of shaft found in Problem 10-19, design suitable bearings to support the load for at least 5E8 cycles at 1200 rpm. State all assumptions. (a) Using hydrodynamically lubricated bronze sleeve bearings with Oy = 40, 1/d=0.80, and a clearance ratio of 0.002 5. gear gear key FIGURE P11-4 Shaft Design for Problems 11-19 and…arrow_forwardFor the frame below calculate the bending moment at point R. Take P=40 and note that this value is used for both the loads and the lengths of the members of the frame. 2.5P- A Q B R С 45 degrees ✗ ✗ P i 19 Кур -2P- 4PRN -P- -arrow_forwardCalculate the bending moment at the point D on the beam below. Take F=79 and remember that this quantity is to be used to calculate both forces and lengths. 15F 30F A сarrow_forwardShow work on how to obtain P2 and T2. If using any table, please refer to it. If applying interpolation method, please show the work.arrow_forwardcast-iron roller FIGURE P11-3 Shaft Design for Problems 11-17 Chapter 11 BEARINGS AND LUBRICATION 677 gear key P assume bearings act as simple supports 11-18 Problem 7-18 determined the half-width of the contact patch for a 1.575-in-dia steel cylinder, 9.843 in long, rolled against a flat aluminum plate with 900 lb of force to be 0.0064 in. If the cylinder rolls at 800 rpm, determine its lubrication condition with ISO VG 1000 oil at 200°F. R₁ = 64 μin (cylinder); R₁ = 32 μin (plate). 11-19 The shaft shown in Figure P11-4 was designed in Problem 10-19. For the data in the row(s) assigned from Table P11-1, and the corresponding diameter of shaft found in Problem 10-19, design suitable bearings to support the load for at least 5E8 cycles at 1200 rpm. State all assumptions. (a) (b) Using hydrodynamically lubricated bronze sleeve bearings with ON = 40, 1/ d=0.80, and a clearance ratio of 0.002 5. Using deep-groove ball bearings for a 10% failure rate. *11-20 Problem 7-20 determined the…arrow_forwardCalculate the shear force at the point D on the beam below. Take F=19 and remember that this quantity is to be used to calculate both forces and lengths. 15F A сarrow_forward"II-1 The shaft shown in Figure P11-I was designed in Problem 10-1. For the data in the row(s) assigned from Table P11-1, and the corresponding diameter of shaft found in Problem 10-1, design suitable bearings to support the load for at least 7E7 cycles at 1500 rpm. State all assumptions. (a) Using hydrodynamically lubricated bronze sleeve bearings with Ox = 20, 1/d=1.25, and a clearance ratio of 0.001 5. assume bearings act as simple supports FIGURE P11-1 Shaft Design for Problem 11-1 11-2 The shaft shown in Figure P11-2 was designed in Problem 10-2. For the data in the row(s) assigned from Table P11-1, and the corresponding diameter of shaft found in Problem 10-2, design suitable bearings to support the load for at least 3E8 cycles at 2.500 rpm. State all assumptions. (a) Using hydrodynamically lubricated bronze sleeve bearings with ON=30, 1/d=1.0, and a clearance ratio of 0.002. FIGURE P11-2 Shaft Design for Problem 11-2 Table P11-1 Data for Problems assume bearings act as simple…arrow_forwardFor the frame below, calculate the shear force at point Q. Take P=13 and note that this value is used for both the loads and the lengths of the members of the frame. 1 A Q ✗ 19 KBP 2.5P- B R C 45 degrees ✗ 1 .2P- 4PhN -P→arrow_forwardCalculate the Bending Moment at point D in the frame below. Leave your answer in Nm (newton-metres) J J A 2m 2m <2m х D 不 1m X E 5m 325 Nm 4x 400N/marrow_forwardIn the beam below, calculate the shear force at point A. Take L=78 and remember that both the loads and the dimensions are expressed in terms of L. 143 1 DX A - Li 4 LhN 14LRN/m Х B 22 3 L.arrow_forwardCalculate the Shear Force at Point F on the beam below. Keep your answer in Newtons and make shear force positive to the right. A х 2m <2m E D 5m 1m Хт 325N1m 400N/m 8arrow_forwardThe normal force at C on the beam below is equal to: A ShN C X 15h N 8 ○ OkN 2.5kN 10kN ○ 12.5kN 1m Im 1m 1m;arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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