The strain components ɛ, Ey, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 400 µɛ, ɛy = -920 µɛ, Yxy = -780 urad. Enter the angle such that -45°s0,s+45°.

The strain components ɛ, Ey, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 400 µɛ, ɛy = -920 µɛ, Yxy = -780 urad. Enter the angle such that -45°s0,s+45°.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

len 8
please box the final answer
A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rod (2) is 1190 µin./in. Assume initial rod lengths of L1 = 131 in. and L2 = 61 in. Determine (a) the normal strain in rods (1). (b) the normal strain in rods (1) if there is a 0.057 in. gap in the connections between the rigid bar and rods (1) at joints A and C before the load is applied. (c) the normal strain in rods (1) if there is a 0.057 in. gap in the connection between the rigid bar and rod (2) at joint B before the load is applied. (1) (1) (2) Rigid bar Answers: (a) ɛ1 = i pin./in. (b) Ɛ1 = i pin./in. (c) Ɛ1 = i pin./in.
c8
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 11 ksi in size.(a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element.(b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
The strain components ɛx, ɛy, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0,, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 330 µɛ, Yxy = 210 µrad. Enter the angle such that -45° < 0,<+45°. Answer: Ep1 = Ep2 = με Ymax in-plane = prad Yabsolute max. = prad
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 14 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of Txy and show them on a stress element. (b) Determine the stresses On, ot, and the magnitude of Tnt and show them on a stress element that is properly rotated with respect to the x-y element. The sketch must include the magnitude of the angle between the x and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). σ n Answer: (a) ox= Oy= Txy= (b) on= Ot= Int= MPa MPa MPa MPa MPa MPa X
The strain components ɛx, ɛy, and yxyare given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 350 µɛ, ɛy = -500 µɛ, Yxy = -810 µrad. Enter the angle such that -45°<0,< +45°. Answer: Ep1 = Ep2 = με Ymax in-plane = µrad Yabsolute max. prad Op =
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 640 psi in size. (a) Determine the stresses σx, σy, and the magnitude of τxy and show them on a stress element. (b) Determine the principal stresses and the magnitude of the maximum in-plane shear stress acting at the point and show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16).
The strain components εx, εy, and γxy are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle θp, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. εx = -850 με, εy = -330 με, and γxy = 1250 μrad. Enter the angle such that -45°≤θp≤ +45°.
The strain components Ex, y, and Yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 8p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 490 μE, Ey = -750 µE, Yxy = -610 μrad. Enter the angle such that -45°<0p<+45° Answer: Ep1 = με Ep2 = με Ymax in-plane Yabsolute max. 0p= urad urad
The strain components εx, εy, and γxy are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle θp, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. εx = -450 με, εy = -295 με, and γxy = 750 μrad. Enter the angle such that -45°≤θp≤ +45°.