A point in a strained material is subjected to stresses shown in figure. Using Mohr’s circle method, determine the normal and tangential stresses across the plane at an angle of 35o. Check the answer analytically. A point in a strained material is subjected to stresses shown75 MPain figure. Using Mohr's circle method, determine thenormal and tangential stresses across the plane at an angleof 35°. Check the answer analytically.(15)125 MPa* 50 MPa

Using Mohr's Circle, σx = σx + σy2 + σx - σy2 cos2θ + 𝜏xysin2θ =125 + 752 + 125 - 752 cos 235…

A point in a strained material is subjected to stresses shown 75 MPa in figure. Using Mohr's circle method, determine the normal and tangential stresses across the plane at an angle of 35º. Check the answer analytically. (15) 125 MPa 50 MPa

A point in a strained material is subjected to stresses shown 75 MPa in figure. Using Mohr's circle method, determine the normal and tangential stresses across the plane at an angle of 35º. Check the answer analytically. (15) 125 MPa 50 MPa

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

Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 2 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).
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 7 MPa in size. (a) Determine the stresses ox, Oy, and the magnitude of Tyy and show them on a stress element. (b) Determine the stresses On, O, 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). y
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 680 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).
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 13 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).
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 11 MPa in size. (a) Determine the stresses Ox, Oy, and the magnitude of T,xyand 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 state of strain at the point has components of € = 300 (10-6), y = -260 (10-6), and Yay = 460 (10–6). Figure
xy=53
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 600 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).
Mohr's circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 4 MPa in size. (a) Determine the stresses o, Oy, and the magnitude of Tyand 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 thex and n axes and an indication of the rotation direction (i.e., either clockwise or counterclockwise). Answer: МPа (a) ox = MPa Oy = MPа Ty = MPa ( b) ση MPa Ot = MPа Tnt =
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 340 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).
Schematically find the normal and shear stresses in the plane when the element given in the form of plane stress is rotated 30 degrees clockwise with the Mohr circle.
Mohr’s circle is shown for a point in a physical object that is subjected to plane stress. Each grid square is 880 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).