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- www The stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 60 MPa and Sy = 210 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume 3 = 47° Selle Answer: Sn = Snt = S, 6 ← T 5 S., MPa MPa0° The stresses at a point in a bar are o1 = 29 N/mm2 (tensile) and o2= 14 N/mm2 (compressive) as shown in Figure (a) Determine the normal, tangential and resultant stress in magnitude and direction on a plane inclined at 55° to the axis of the major stress. (b) Determine the maximum intensity of shear stress in the material at the point. (c) Also, solve the same problem using Mohr's circle method and compare the results. Axis of Major Stress 55 02A stat of stress is specified in figure by using Mohr's circle determine the normal and shearing GPI. GP2 stresses on (a) the principal plane, (b) the planes of maximum shearing stress and sketch the ERST resulting elements. 400 MPa 250 MPa 560 MPa
- The stresses shown act at a point in a stressed body. The stress magnitudes are S, = 90 MPa and S, = 200 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume ß = 55°. S, Answer: Sn = MPa Snt = MPa %3DProblem 4 : For the shown Mohr circle: (a) What is the state of stress at the reference point A. Sketch the element at A. (b) Determine the principal normal stresses and their orientation. Show the results on a properly oriented element (c) Determine maximum in-plane shear stress and its orientation. Show the results on a properly oriented element A 20 40 60 80 100 Ở, ksi 20 40 -60The stresses shown act at a point in a stressed body. The stress magnitudes are Sx - 60 MPa and Sy = 210 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume 3 = 47°. Answer: Sn = Snt= S B Sx MPa MPa
- EXAM QUESTION 2 The state of plane stress at a point is represented by the element shown in the figure. (Assume E=210 GPa, v=0.3). Determine a) the principal stresses and the oriented angle associated with the direction of each principal stress using the transformation equations of plane stress; and b) the absolute maximum shear stress at the point according to this stress matrix. 50 MPa 50 MPa 50 MPaThe stresses shown act at a point in a stressed body. The stress magnitudes are Sx = 65 MPa and Sy = 230 MPa, acting in the directions indicated in the figure. Using the equilibrium equation approach, determine the normal and shear stresses at this point on the inclined plane shown. Assume ß = 47°. Sy Answer: Sn = MPa %3D Snt = MPа %3DProblem 1. A material element in plane stress is subjected to stresses: Ox = -7000 psi Oy = -3000 psi = -4000 psi Txy а) Find the stresses ox,, Oy,, and Tx, y, on an element oriented at an angle 0 = 30° clockwise from the x axis and show these stresses and on a sketch of a properly oriented element. b) Find the principal stress angles, Op1, Op2, and the principal stresses, 01,02 c) Find the maximum shear stress angles, 051, es2, and the maximum shear stresses, +Tmax- d) Show the principal stresses and maximum shear stresses on a sketch of a properly oriented element
- Question The state of 2D-stress at a point is given by the following matrix of stress: [0x %]-[ 100 30 30 20 = MPa 0. What is the magnitude of maximum shear stress(Radius of Mohr's circle) in MPa?Question 2 Referring to the stresses on the surfaces of an element in Figure Q.1, determine : (a) principal plane and principal stresses (b) the maximum shear stress and the corresponding normal stress, and (c) the range of angle rotation q which give the value of shear stress txy, equal or less than 40 MPа. 30 MPа 80 MPaQ1) At a point in a structure subjected to plane stress, the stresses are o= 4100 psi, oy = 2200 psi, and Ty 2900 psi. A stress element located at the same point in the structure (but oriented at a counterclockwise angle 01 with respect to the x axis) is subjected to the stresses shown in the figure2 (Ob. To, and 1800 psi). Assuming that the angle 01 is between zero and 90°, using Mohr's Circle, calculate the normal stress op, the shear stress Tbs and the angle 01. 1800 psi