Solve Prob. 14–90 using Mohr’s circle.
14–89. The state of strain at a point on the bracket has component:
14–90. Solve Prob. 14–89 for an element oriented θ = 30° clockwise.
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Statics and Mechanics of Materials (5th Edition)
- For the state of a plane strain with εx, εy and γxy components: (a) construct Mohr’s circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. εx = 255 × 10-6 εy = -320 × 10-6 γxy = -165 × 10-6arrow_forwardThe state of plane strain on an element is represented by the following components: Ex =D340 x 10-6, ɛ, = , yxy Ey =D110 x 10-6, 3D180 x10-6 ху Draw Mohr's circle to represent this state of strain. Use Mohrs circle to obtain the principal strains and principal plane.arrow_forwardThe 60° strain rosette is mounted on the surface of the bracket. The following readings are obtained for each gage: Pa = -780(10-6), Pb = 400(10-6), and Pc = 500(10-6). Determine (a) the principal strains and (b) the maximumin-plane shear strain and associated average normal strain. In each case show the deformed element due to these strains.arrow_forward
- 7- The state of strain at the point has components in the X-axis = -210x10-6, in the y-axis = 355x10-6, and in the x-y plane equations to determine the equivalent in-plane strains ( er,y.and Yx'y') on an element oriented at an angle -710x10-6. Use the strain-transformation of 55° counterclockwise from the original position.arrow_forwardThe 45° strain rosette is mounted on the surface of a pressure vessel. The following readings are obtained for each gage: Pa = 475(10-6), Pb = 250(10-6), and Pc = -360(10-6). Determine the in-plane principal strainsarrow_forwardThe 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa = 650(10-6), ϵb = -550(10-6), and ϵc =470(10‑6). Determine (a) the in-plane principal strains and (b) maximum in plane shear strain.arrow_forward
- Pleasearrow_forwardThe state of a plane strain at a point has the components Ex = 400 (10 ), Ey = 200 (10 ) and yxy = 400 (10-6). Determine the principal strains and the maximum in plane shear strain. Select one: & =524 (10-6), ɛ2 = -76.4 (106) and ymax in-plane = 223 (10 ). E =524 (10-6), E2 = -76.4 (10-) and ymax in-plane = 447 (10-). E =524 (10 E2 = 76.4 (10-) and ymax in-plane = 223 (10-). %3D E1 = 524 (10-), E2 = 76.4 (10-) and ymax in-plane = 447 (10-). E=-76.4 (10), E2 = -524 (10-6) and ymax in-p ane = 447 (10-6).arrow_forwardThe state of strain at the point on the bracket has components Px = 350(10-6), Py = -860(10-6),gxy = 250(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 45° clockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.arrow_forward
- *10-8. The state of strain at the point on the bracket has components €, = -200(10-6 ), e, = -650(106 ), Ysy = -175(106 ). Use the strain-transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 0 = 20° counterclockwise from the original position. Sketch the deformed element due to these strains within the x-y plane. Prob. 10-8arrow_forwardThe state of strain at a point on a wrench has components ϵx = 120(10-6), ϵy = -180(10-6), γxy= 150(10-6). Use Mohr's circle to solve the problem. Determine the orientations of the element at which the principal strains occur. θp1= θp2=arrow_forwardThe state of strain at the point on the spanner wrench has components of Px = 260(10-6), P y = 320(10-6), and gxy = 180(10-6). Use the strain transformation equations to determine (a) the in-plane principal strains and (b) the maximum in-plane shear strain and average normal strain. In each case specify the orientation of the element and show how the strains deform the element within the x–y plane.arrow_forward
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning