1. Use the following tited coordinate system to deduce the plane-stress t transformation equations: (40 pts)...
Question 3. Using the Stress Transformation Equations, find the state of stress at 30 deg, 60 deg and the Principal Stresses (o and 02) and their orientation (@pi and 0.2) and the maximum in-plane shear stress (Tmax).for the following; 20 15 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.)
your Consider the element in plane stress as shown below. () (2 points) Draw corresponding Mohr's circle coordinate axes with appropriate labels, center point A. radius of the circle (1) (3 points) Using the Mohir's circle, find the magnitude of the principal stresses and principal directions. Show them on a sketch of a properly oriented clement (c) (3 points) Using the Mohr's circle, find the magnitude of the maximun shear stress and associated normal stresses Show them on a sketch...
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
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal...
40 M 45 MP 50 MPA - For the given state of stress, Part A: determine analytically (using stress transformation equations): 1) the principal planes. 2) the principal stresses. 3) Sketch the stress element for the above condition 4) the orientation of the planes of maximum in-plane shearing stress, 5) the maximum in-plane shearing stress and the corresponding normal stress. 6) Sketch the stress element for the above condition Part B: Only use Mohr's circle to determine 1) the principal...
1) Given the following state of stress at a point in a continu 7 0 14 [a] =| 08 01 MPa, 14 04 determine the principal stresses and principal directions 2) Find the principal stresses, maximum in-plane shear stresses, maximum shear stress, and the orientations of the principal stresses for the stress state given below. Comment on the orientations of the maximum in-plane shear stresses 12 9 01 [o9 -12 0 MPa. 0 0 6 2
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
Consider the following stress state in plane stress: Qx = 120 MPa Qy = -30 MPa Txy = 70 MPa a) Calculate the two in-plane principal stresses and show the principal stress state on a properly oriented stress element. b) Calculate the maximum in-plane shear stress. c) Calculate the maximum out-of-plane shear stress. On what plane (x-z or y-z) does this shear stress occur?
Problem 6 (15 points) The state of plane stress at a point is shown on the element in Figure 6. a. Using Mohr's circle, determine the principal stresses and the maximum in-plane shear stress and average normal stress. Specify the orientation of the element in each case. b. Represent the state of stress on an element oriented 30° counterclockwise from the position shown in Figure 6. 20 MPa 100 MPa 40 MPa Figure 6 (plot Mohr's circle on the next...