11000 psi Problem 3. Use Mohr's Circle to determine the state of stress on a point...
Problem 1.8. Mohr's circle Draw Mohr's circle for the state of stress defined by 01 = 80 MPa, 02 = -20 MPa and T12 = 40 MPa. Using this circle, (1) calculate the stress on axes rotated 60 degrees counterclock- wise from the reference axes, and (2) determine the principal stresses and the corresponding directions. Do these results agree with the results in section 1.3.3?
Use Mohr's circle
5. For the stress element shown, use components associated with an element rotated counterclockwise 30°. Show values on the rotated element. alytical means or Mohr's circle to determine the stress Use previous "diameter" determined by "plotting" the given stresses, then ADD 60° CCW from that diameter to find new points on the circumference of Mohr's circle. 60 MPa 30° 100 MPa Once again, try just using plain geometry to determine those points. 48 MPa
Please use Mohr's circle to solve this
problem.
For the state of stress shown, determine the value of Txy for which the maximum shearing stress is 79 MPa. (Round the final answer to two decimal places.) 70 MPa ty 120 MPa The value of w is ± MPa
1. Draw Mohr's circle for the following stress state. 700 psi 600 psi
Mohr's circle. Determine the
normal stresses ?n and ?t, and the shear stress ?nt at this point
if they act on the rotated stress element shown on the right.
PROBLEM 4: Continued Part2: The state of stress at a point represented on the Mohr's circle shown below as point X (- 200 MPa, -200 MPa) and y. The center of the circle has a coordinate C (50,0) and a radius R=320 MPa. Determine the normal stress Ox' and the shear stress t x'y on an element oriented 0=10 degrees clockwise from x. 16% (-200, -200) 20 R 01 to +T
For the stress state shown, use Mohr's Circle to determine the following: (a) Principal stresses σ1 and σ2, the associated shear stress τx'y', and the element orientation θp. Clearly indicate magnitude and direction. (b) Maximum in-plane shear stress τmax,in plane , the associated normal stresses σx' and σy', and the element orientation θs. Clearly indicate magnitude and direction. (c) Absolute maximum shear stress τmax,absolute · Show all work using Mohr's Circle. If your drawings do not indicate that you used Mohr's Circle appropriately, you...
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...
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
Problem 2 (25 points) SMR For the state of stress at a point, P, as shown. JUNY Plot the state of stress on a Mohr's circle. Also determine (either graphically or by equation, the principal stresses and the maximum shear stress. What angle would the original X-axis of the unit square need to be rotated to face the direction of maximum normal stress? What angle would the original X-axis of the unit square need to be rotated to face the...