The strain components for a point in a body subjected to plane strain are ɛ, = 630 µe, ɛy = 940µe and Vay = 1193 urad. Using Mohr's circle, determine the principal strains (€p1 > Ep2), the maximum inplan shear strain yip, and the absolute maximum shear strain ymax at the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = 1401.3 HE. Ep2 = 168.7 με . Vip = 1401.3 prad. Ymax 1232.6 prad. Op = -26.84 %3D

The strain components for a point in a body subjected to plane strain are ɛ, = 630 µe, ɛy = 940µe and Vay = 1193 urad. Using Mohr's circle, determine the principal strains (€p1 > Ep2), the maximum inplan shear strain yip, and the absolute maximum shear strain ymax at the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = 1401.3 HE. Ep2 = 168.7 με . Vip = 1401.3 prad. Ymax 1232.6 prad. Op = -26.84 %3D

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

Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are 5x = 5 ksi, Sy = 39 ksi, and Sxy = 13 ksi. (a) Determine the principal stresses (0,1 > 0,2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0,, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Sxy Sx Answers: %pl = Op2 = Tmax = Op ksi. ksi. ksi.
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 for a point in a body subjected to plane strain are &x= -560 μ, y = 1070μe and Yxy = 434 urad. Using Mohr's circle, determine the principal strains (Ep1 > Ep2), the maximum inplane shear strain Yip, and the absolute maximum shear strain Ymax at the point. Show the angle 0, (counterclockwise is positive, clockwise is negative), the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Answers: Ep1 = με. Ep2= με. = Yip urad. Ymax Op- 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 = -650 με, εy = -345 με, and γxy = 1050 μrad. Enter the angle such that -45°≤θp≤ +45°.
The strain components ɛx, 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 = 460 µɛ, ɛ, = -970 µɛ, Yxy = -780 µrad. Enter the angle such that -45°s0,s +45°.
The strain components E, Ey, and y.yare 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. 8x = 470 ue, ɛ, = -860 µɛ, Vxy = -500 urad. Enter the angle such that -45°50,5 +45°. Answer: Ep1 = Ep2 = Ymax in-plane = prad Yabsolute max. prad Op =
The strain components e, E, and yy 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 = 390 µe, ɛ, = -630 pe, Vxy = -760 prad. Enter the angle such that -45°s0,s +45°. Answer: Ep1 = Ep2 = Ymax in-plane prad Yabsolute max. prad 0p =
3
Consider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 17 ksi, Sy = 24 ksi, and Sxy= 16 ksi. (a) Determine the principal stresses (1 > 2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Answers: Opl = Op2 = Tmax = Sxy 0 ksi. ksi. ksi.
ASAP
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 = -255 με, and γxy = 1100 μrad. Enter the angle such that -45°≤θp≤ +45°.