EBK MECHANICS OF MATERIALS
7th Edition
ISBN: 8220100257063
Author: BEER
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 7.9, Problem 137P
(a)
To determine
Find the magnitude and direction of the principal strains.
(b)
To determine
Find the maximum in-plane strain.
(c)
To determine
Find the maximum shearing strain.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Q.4) By using the strain rosette shown in figure below, we obtained the following
normal strain data at a point on the surface of a machine part made of steel [E =
207 GPa, v= 0.29]:
ε-770 μ,
E = 520 µ,
& = - 435 µ
(a) Determine the strain components &, &, and %y at the point.
(b) Determine the principal strains and the maximum in-plane shear strain at
the point using Mohr's circle.
(c) Draw a sketch showing the angle Op, the principal strain deformations, and
the maximum in-plane shear strain distortions.
(d) Determine the magnitude of the absolute maximum shear strain.
b
' 60°| 60°
H.W.7 A rigid steel bar ABC is supported by three rods.
There is no strain in the rods before load P is applied. After
load P is applied, the axial strain in rod (1) is 1,200 µɛ.
(1)
2,000 mm
(a) Determine the axial strain in rods (2).
(b) Determine the axial strain in rods (2) if there is a 0.5 mm
gap in the connections between rods (2) and the rigid
bar before the load is applied.
520 mm
400 mm
1,250 mm
(2)
H.W.7 A rigid steel bar ABC is supported by three rods.
There is no strain in the rods before load P is applied. After
load P is applied, the axial strain in rod (1) is 1,200 µue.
(1)
2,000 mm
(a) Determine the axial strain in rods (2).
(b) Determine the axial strain in rods (2) if there is a 0.5 mm
gap in the connections between rods (2) and the rigid
bar before the load is applied.
520 mm
400 mm
1,250 mm
(2)
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- mehcanics of deformable bodiesplease answer asapno.6arrow_forwardProve that the sum of the normal strains in perpendicular directions is constant, i.e., Px + Py = Px′ + Py′arrow_forwardThe strain components, ex= 940 micro strain, ey= -360 micro strain and yxy=830micro strain are given for a point in body subjected to plane strain. Determine; a. Magnitude of the principal strains b. The direction of the principal strain axes c. The maximum in-plane shear strain. Confirm your answer by means of Mohr's circle of strain and determine the linear strain on an axis inclined at 20 degrees clockwise to the direction of eyarrow_forward
- 3) An eccentric force P is applied as shown in Fig. 2 to a steel bar of 25 x 90-mm cross section. The strains at A and B have been measured and found to be ƐA = + 400µ and be ЄB = - - 90μ. Knowing that E = 210 GPa, determine (a) the magnitude of force P, (b) the distance d, and (c) neatly draw the stress distribution diagrams of the system. 30 mm 25 mm- 90 mm A B Fig. 2 1 45 mm 15 mmarrow_forward4) The following strains have been measured at a point on the free surface of a solid body. Direction a b C Angle 0 Strain & 0° 0.002 120° (from a) 0.002 240° (from a) -0.001 Determine the principal strains in the plane of the surface, and the principal directions of strain relative to direction a. Based on the results from Problem 4:arrow_forwardA steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A uniform normal strain of 240 pin./in. is produced in the cable by the weight of the cage. At each point, the weight of the cable produces an additional normal strain that is proportional to the length of the cable below the point. Assume D = 1900 ft and d = 500 ft. If the total normal strain in the cable at the cable drum (upper end of the cable) is 780 μin./in., determine (a) the strain in the cable at a depth of 500 ft. (b) the total elongation of the cable. Drum Cable Answers: (a) ε = (b) 8 = i i d Elevator cage D X pin./in. in.arrow_forward
- 3. An aluminum alloy plate (E = 70 GPa and v= 0.3), of thickness t= 8 mm, width b = 150 mm, and length a = 300 mm, is subjected to a state of plane stress having o, =120 MPa (Fig. 2). (a) Determine the value of stress ơx for which the length a remains unchanged (b) Determine the normal strain along y-axis (ɛ,) (c) Write the transformation equation for the normal strain in BD (d) Determine the normal strain along the diagonal BD; and (e) Determine the change in the length of BD after deformation. Oy A Oy Fig. 2arrow_forwardDeformed length of the elongated diagonal.arrow_forwardA rosette consisting of 3 gages forming, respectively, angles of θa, θb and θc with the x-axis is attached to the free surface of machine components made of material with a given Poisson’s ratio v and Modulus of elasticity E as shown in Fig. 6. Take note that strain values given above are the gage readings and not principal strains. PLEASE ANSWER I,G,Harrow_forward
- 1arrow_forward1. A strain gage located at C on the surface of bone AB indicates that the average normal stress in the bone is 4.80 MPa when the bone is subjected to two 1200-N forces as shown. Assuming the cross section of the bone at C to be annular and knowing that its outer diameter is 25 mm, determine the inner diameter of the bone's cross 1200 N section at C.arrow_forwardPart of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. Originally the cable is unstretched. A force is applied to the end B of the member and causes it to rotate by a very small angle 8. You want to determine the normal strain in cable AB. Which of the following assumptions is FALSE? Let B’ be the new location of point B after applying the load P. i. B' is located directly to the right of point B. ii. The length of CB' is 800 mm. |0– A 600 mm BO C 800 mm P B A 600 mm 0.5/ 800 mmarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
An Introduction to Stress and Strain; Author: The Efficient Engineer;https://www.youtube.com/watch?v=aQf6Q8t1FQE;License: Standard YouTube License, CC-BY