1) Given the following state of stress at a point in a continu 7 0 14...
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
The state of plane stress at a point on a body is represented by the element below. 14 MPa y 12 MPa K. Determine the principal stresses 01 and 02: 01 = number (rtol=0.01, atol=1e-05) MPa 02 = number (rtol=0.01, atol=1e-05) MPa ? Determine the principal plane defined by the rotation Opi: 0 number (rtol=0.01, atol=1e-05) Opl in-plane Determine the magnitude of the maximum in-plane shear stress Tmac Terima plane number (rtol=0.01, atol=1e-05) MPa
The state of stress in an elastically deformed element is given in the table below. Determine the principal values of the stresses and their principal direction. Also determine the maximum in plane shear stresses and the absolute shear stress. Stresses in MPa Cy 100 zX xy 30 -50 12 0 -40 Stresses in MPa Cy 100 zX xy 30 -50 12 0 -40
0 The state of stress at a point in a body is specified by the following stress components: = 110MPa = 60MPa , = -86 MPa 0 = 55 MPa Determine the principal stresses, direction cosines of the principal stress directions and the maximum shearing stress.
The state of stress at a point A is given in the figure below. Determine.(a) and the orientation at which they act, and (b) the maximum in-plane shear stress and the corresponding normal stress, and the orientation at which they act. Show graphically both (30p) principal stresses ataA 0.73 MPa 0.32 MPa
Problem 1 - Mohr's circle for plane stress For the given state of stress,[30 complete following: pts. 1. Draw Mohr's circle showing the principal stresses (max & min), center points (C) and radius R. (20 pts.] 60 MPa 180 MPa NMP MPa 2. Determine the principal planes (20and ) and the maximum in-plane shear stress (max). What is the corresponding normal stress (O") for this maximum in-plane shear stress? [10 pts.)
The state of plane stress at a point on a body is represented by the element below. 10 MPa → 21 MPa K өр Determine the principal stresses 01 and 02: 01 = number (rtol=0.01, atol=1e-05) MPa 02 = number (rtol=0.01, atol=1e-05) MPa Determine the principal plane defined by the rotation @p1: o Opl = number (rtol=0.01, atol=1e-05) in-plane Determine the magnitude of the maximum in-plane shear stress Tmaz Irina plane number (rtol=0.01, atol=1e-05) MPa
For the given state of stress 200 MPa 100 MPa 300 MPa Determine the principal stresses Determine the maximum in-plane shear stress. Maximum in-plance shear stress
9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 250 MPa 175 MPa 200 MPa Prob. 9-16 9-16 The state of stress at a point is shown on the ele- ment. Determine (a) the principal stresses and (b) the max- imum in-plane shear stress and average...
A state of plane stress consists of a tensile stress of ox=3 MPa, 0,=5 MPa, and Txy=-7 MPa a. Draw the original unrotated element and the corresponding 2-D Mohr's circle construction showing the x-face and y-face coordinates. b. Calculate the principal stresses, 01 and 02 and their corresponding principal angles, 021,092 and show all of these on your Mohr's circle construction and a properly oriented stress element. c. Calculate the maximum shear stresses, ETmax and their corresponding angles of maximum...