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20B Problem 2 (20 pts): Mohr's Circle Use the Mohr circle shown on the right to...
Problem 2 (20 pts): Mohr's Circle Use the Mohr circle shown on the right to answer the questions below. 20 B (a) Determine the state of stress (Ox, Oy, Txy) [ksi] depicted in the drawing of Mohr's circle. (b) Find the principle stresses (01, 02) [ksi] and the respective angles of principle stress (Opl, Op2). (c) Calculate the maximum shear stress (Tmax) [ksi] and the angles of maximum shear stress (Os1, 0:2). -20 20 40 60 02 0 01 [ksi]...
Use the Mohr circle shown on the right to answer the questions below. 20 B (a) Determine the state of stress (0.0, Ty) [ksi] depicted in the drawing of Mohr's circle. (b) Find the principle stresses (01. o:) [ksi) and the respective angles of principle stress (0.0,). (c) Calculate the maximum shear stress (Ima) [ksi) and the angles of maximum shear stress (0.1.0.). 20 40 60 01 σω) 20p --20 4 T|
Mohr's Circle: For the state of stress shown below, sketch the plane stress Mohr Circle on a graphing paper (to scale and using drawing instruments). Staple it to this coversheet. 10 ksi 20 ksi In the space below sketch the element showing the principal planes and the principal stresses (remember to show the angle the element makes with either the X or the Y axis) In the space below sketch the element showing the maximum in-plane shearing stresses, associated normal...
Problem 2 (8pts) Sketch Mohr circle for the shown element. Use Mohr Circle to determine the normal stresses on and Ot and the shear stress Tnt at this point if they act on the rotated stress element shown. Verify your results (on, i, Tnt) using stress transformation eqns. 1,100 psi 1,750 psi 20° 2,900 psi Illustrate the following on Mohr circle: center of Mohr Circle, reference point A, principle stresses, max in-plane shear stress, orientation of principal stresses Opi and...
Problem No. 5 (Figure 5) Using Mohr's circle determine the following: (i) Maximum principle stresses (σ1 and σ2) (i) Maximum shear stress (Tmax) (iii) Orientation of principle axis (%) (iv) Orientation of Tmax (0s) (v) Determine σ' and σ' for θ 15. clockwise rotation (vi) Sketch the state of stress for case- (ii) (vii) Sketch the state of stress for case- (iv) Figure 5 2 ksi 2 ksi 4 ksi
Using Mohr's circle determine for the below differential element: a) the principal stresses and the plan on which they act. Show the stresses on a properly oriented differential element. Label all stresses. b) the maximum shear stress and the plan on which they act. Show the stresses on a properly oriented differential element. Label all stresses. c) the stresses on a differential element 40 degrees clockwise from the original element. Show the stresses on a properly oriented differential element. Label...
Q2: (10 points) Consider the Mohr's circle (shown to the right) for an element. The principal stresses or element related to this plot occur at an orientation 40 degrees C.C.W. from the initial stress configuration (original x,y axes) (a) Determine the principal stresses (b) Determine the initial stress configuration (c) Determine the maximum shear stress magnitude and the angle it occurs at relative to the initial stress configuration. 55 ksi -5 ksi
Q5: 10-56 Determine the principal stresses and the maximum shear stress using Mohr's circle. The following data sets give the stresses on the initial stress element (ox=300 MPa; Oy=-100 MPa; Txy=80MPa CW). Perform the following operations: (a) Draw the complete Mohr's circle, labeling critical points including 01, 02, Tmax, and Oavg. (b) On Mohr's circle, indicate which line represents the x-axis on the initial stress element. (c) On Mohr's circle, indicate the angles from the line representing the x-axis to...
1) A spherical storage tank, shown to the right, has an outer diameter of 20 ft. and a wall thickness 7/16 in. The internal pressure in the tank is 75 psi. Draw Mohr's circle for this problem (including the "3D" Mohr's circle). Determine the maximum normal stress and the maximum shear stress. Ans: max = 10.248 ksi, Tmax = 5.124 ksi
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...