Consider a polnt in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal andvertical planes at the point are S- 15 ksi, S, - 19 ksi, and Sy 14 ksl.(a) Draw Mohr's circle for this state of stress.(b) Determine the principal stresses (o > o2) and the maximum in-plane shear stress Tinax acting at the point.(c) Find the smallest rotation angle (0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Thenshow these stresses in an appropriate sketch (e.g, see Figure 12.15 or Figure 12.16)SoAnswers:ksi.Opl =ksl.Op2 =ksi.Tmax=0,

In the figure shown in question, stresses are given on X-Y plane an we are required to calculate as…

Consider a polnt 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 S,- 15 ksi, S, - 19 ksi, and Sy (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (o,1 > o,2) and the maximum in-plane shear stress Tmax acting at the point. (c) 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) -14 ksl. So

Consider a polnt 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 S,- 15 ksi, S, - 19 ksi, and Sy (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (o,1 > o,2) and the maximum in-plane shear stress Tmax acting at the point. (c) 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) -14 ksl. So

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 S=2 ksi, Sy=20 ksi, and Sy = 33 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point () Show these stresses on an appropriate sketch (eg, see Fig. 1215 or Fig 12.16). (d) Determine the absolute maximum shear stress at the point. Sy Part 1 Calculate the average normal stress and determine the radius of Mohr's Circle. Then draw Mohr's Circle for this state of stress. Answer ksi ksi
The stress matrix of a point is given below. Determine the maximum shear stress at the point.
Solve alll subparts b, c, d and e B) determine the principal plane (for σmax) in radians. C) Determine the shearing stress in a plane, which is 330 with the vertical (clockwise). D) determine the normal stress (in MPa) in a plane, which is 330 with the vertical (clockwise). E) determine the minimum values of θ (in radians) for which the normal stress is the equal to or less than 35.2 MPa.
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 = 40 ksi, Sy = 17 ksi, and Sxy = 10 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (c) Show these stresses on an appropriate sketch (e.g., see Fig. 12.15 or Fig. 12.16). (d) Determine the absolute maximum shear stress at the point. Sxy Sx Answer: (a) Draw Mohr's Circle for this state of stress. (b) Op1 = ksi Op2 = i ksi Tmax in-plane i ksi
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.
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 Sy-17 MPa, S, - 60 MPa, and Swy- 29 MPa. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (ơp > op2) and the maximum in-plane shear stress Tmax acting at the point. (c) 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) Say Answers: MPa. Opl = MPa. MPa. Tmax = 0, =
Consider a point in a structural member that is subjected to plane strèss. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S= 24 MPa, Sy= 34 MPa, and Sy= 31 MPa. (a) Determine the principal stresses (o,1 > O2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, cločkwise 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: MPа. MPa. Op2 = MPa. Imax =
Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and Ty = -5 ksi. Draw the Mohr's circle for this stress state. Identify the maximum shear stress from the Mohr's circle, and draw the maximum shear stress element, specifying its orientation.
At a point on the free surface of a stressed body, a normal stress magnitude of Sy = 63 MPa (C) and an unknown positive shear stress exist on a horizontal plane. One principal stress at the point is 9 MPa (C). The absolute maximum shear stress at the point has a magnitude of 81 MPa. Determine the unknown stresses on the horizontal and vertical planes and the unknown principal stress at the point. S, Sxy S Answers: i MPa Txy = i MPа Op2 = i MPa
Please help me with this question.
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 = 37 MPa, Sy = 10 MPa, and Sxy = 41 MPa. (a) Determine the principal stresses (6,] > 6,2) 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: MPa. Opl = MPa. Op2 = Tmax = MPa.