Problem 1 (a) (b) For the 3D stress state represented in part (a), draw a labeled...
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...
3. The states of stress at two points in a loaded beam are represented in Fig. P1.26a. Determine the following for each point: (a) The magnitude of the maximum and minimum principal stresses and the maximum shearing stress; use Mohr's circle. (b) The orientation of the principal and maximum shear planes; use Mohr's circle. (c) Sketch the results on properly oriented elements. [30] SOMPa 60 MPa 100 MPa
The given State of Stress is provided, the stresses are as follows: • ox= 15 KSI oy= 10 KSI • txy = 8 KSI Part 1 - For the state of stress described above: A. Draw the Mohr's Circle B. Determine the Radius of the Circle C. Find the coordinate Ō of its center D. Principal Stresses Plot all results above on the Mohr's Circle created under part A. Part 2 - Determine the following: A. Maximum In-Plane Shear Stress...
Problem 5: (a) Draw the Mohr's circle for a state of plane stress shown. (b) What are the principal stresses at point A? (c) What is the maximal shear stress? (d) What is the principal angle? 9 ksi 24 ksi 16 ksi
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...
Please draw each point
PROBLEM 4 (25%) Given the following state of stress, 20 ksi 16 ksi 8 ksi Given the following state of stress, using the Mohr's circle: Determine the principal normal stresses and show their sense on a properly oriented element, “PRINCIPAL STRESS”. Show stress invariance with the original stress condition. Find the maximum shear stress with their associate normal stresses and show the results on a properly oriented element, "MAX SHEAR STRESS”. Show stress invariance with the...
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.)
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, o, and O2 and their corresponding principal angles, 0p1,0p2 and show all of these on your Mohr's circle construction and a properly oriented stress element c. Calculate the maximum shear stresses, ITmax and their corresponding angles of maximum...
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...