5.1) draw Mohr's circle and specify the coordinates (O,T) of the values determined in 5.2) and 5.3) on the circle (3 points) 5.2) determine the principal stresses (1 points) 5.3) determine the maximum in-plane shear stress (1 points) 5.4) draw the orientation of the element in each case of 5.1) and 5.2) (3 points) 5.5) specify the positions on Mohr's circle and draw the orientation of the element with its stresses when the element rotates 60° clockwise from the position shown. (2 points) 100 MPa 80 MPa 50 MPa

5.1) draw Mohr's circle and specify the coordinates (O,T) of the values determined in 5.2) and 5.3) on the circle (3 points) 5.2) determine the principal stresses (1 points) 5.3) determine the maximum in-plane shear stress (1 points) 5.4) draw the orientation of the element in each case of 5.1) and 5.2) (3 points) 5.5) specify the positions on Mohr's circle and draw the orientation of the element with its stresses when the element rotates 60° clockwise from the position shown. (2 points) 100 MPa 80 MPa 50 MPa

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Principal stress: 01,2 Ox+0y tan20, = Txy 2 (Ox-0y)/2 2 maximum in-plane shear stress: Tmax *) : + Txy? tan20s -(0x-0y)/2 Ox+0y σανg Txy 2 The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Show your work. 57 MPa 28 MPa 42 MPa
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The stresses acting on an element are dx = 745 psi, ay = 615 psi, and Txy = 430 psi. (Consider only the in-plane stresses the stresses in the x-y-plane). Oy Determine the principal stresses (in psi) and angle of the principle planes (in degrees counterclockwise from the +x-axis). (For normal stresses, use the deformation sign convention. For maximum shear stress, enter the magnitude.) %1 = psi 0₂ = psi psi max = 8p = Show the stresses on a sketch of a properly oriented element. (Submit a file with a maximum size of 1 MB. Your submission will be graded by your instructor after the due date based on its accuracy. Your grade may change.) Choose File No file chosen This answer has not been graded yet.
Q1: The state of stress at a point in a member is shown on the element in Figure (1). Determine the following: 1) The stress components acting on the inclined plane AB (o, and tx'y'). 2) The principal normal stresses (p1.op2) and max in-plane shear stress (Tmax). Do not calculate the angles of the planes of the principal stresses. Solve the problem using the equations. 8 ksi 2 ksi Figure (1) 60 B 5 ksi
Question 1 Find the state of of stress for the element in Figure Q1 inclined by 30° counter clockwise by using: a) Equation Method b) Mohr's Circle Method 60 MPa Txy = 20 MPa 90 MPa Figure Q1
V= 31 X= 475 V/5 = 31/5 =6.2 %3D Y=155 V/10 = 3.1 2Y = 310 Z= 60 W = 25 %3D W4 = 6.25 lovtY = 10x31 + 155 =465 そ+W-60+25=85 YW= 31x25 = 775 %3D 1OZ = 10X 60 = 600
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