Question 1: The state of plane stress shown occurs at a critical point of a steel...
PROBLEM 7.82 - 100 MPa Solve Prob. 7.81, using the maximum-shearing-stress criterion. PROBLEM 7.81 The state of plane stress shown occurs in a machine component made of a steel with oy = 325 MPa. Using the maximum-distortion-energy criterion, determine whether yield will occur when (a) o = 200 MPa, (b) o = 240 MPa, (C) 00 = 280 MPa. If yield does not occur, determine the corresponding factor of safety.
The state of plane stress at a point under the surface of the ANKA airplane wing is represented on the element oriented as shown in the Figure. Deternine principal Stresses Calculate the maximum in-plane shear stress and associated average normal stress by using the analytical method and Mohr's circle. For each case, determine the corresponding orientation of the element with respect to the element shown and sketch the state of stress on the element. Determine the absolute maximum shear stress...
The state of stress at a critical static location of a machine member, as determined by strain gauge measurements, is shown on the stress element below. 1) Determine the maximum principle stress, the minimum principal stress, the maximum shear stress, the angle ??, and the angle ??. Note: use the Mohr's circle method from Chapter 4. 2) Determine the factor of safety for this machine member using the distortion energy yield criterion (Von-Mises) from Chapter 5, if the material is...
"For thestatic plane-stress state: x = 20 MPa,y = 100 MPa,xy = 20 MPa clockwise, assuming the yield stress of the material is 190 MPa,a. Draw the 3D Mohr’s circles to determine the maximum shear stress, and use the maximum shear stress criterion to determine the safety factor n. b. Use the Distortion Energy criterion to determine the safety factor n. "
3. The state of plane stress at a point is shown on the element below. Construct Mohr's circle. Determine the principal stresses acting at this point and their orientation D,. Also determine the maximum in-plane shear stresses and the orientation of the element upon which they act. What is the state of stress if it is rotated 20° counterclockwise? (20 points) 90 MPa 60 MPa -20 MPa
Consider the given state of stress. Take X = 10 MPa and Y = 45 MPa. Determine the principal planes using Mohr's circle. a) The principal planes are at − ° and °. Determine the principal stresses using Mohr's circle. b)The minimum principal stress is − MPa, and the maximum principal stress is MPa. Determine the orientation of the planes of maximum in-plane shearing stress using Mohr's circle. c) The orientation of the plane of maximum in-plane shearing stress in the first quadrant is °....
4) Consider a state of plane stress in the element shown in Fig 4 below; a) determine the average stress and maximum shearing stresses; b) draw the complete Mohr's Circle, c) find the angle, Op., and d) draw the orientation of the element for principal stresses. 0 -140 MPa 0 205 MPa Tx - 100 MPa Fig. 4
Question # 2 110 marks t45 MPa For the state of plane stress shown in the figure: a Construct Mohr's circle (4 marks), b- Determine the principal stresses (2 marks), Determine the directions of principal planes (2 marks), d- Determine the maximum shearing corresponding normal stress (2 marks). a-80 MPa C- stress and the
a) The state of stress at a point is shown on the element in Figure Q4(a) Deternine i) The principal stresses (in-plane) and the corresponding principal planes; 1) The maximum in-plane shear stress and the orientation of the corresponding plane as well as the normal stress on that plane. 60 MPa 30 MPa 45 MPa Figure Q4(a)
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.)