Determine maximum shear stress Maximum principal stress-44 MPa Minimum principal stress=38 Mpa
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- The stresses acting on an element are x= 750 psi, y= 600 psi, and xy = 400 psi. Determine the principal stresses and show them on a sketch of a properly oriented element.-26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and compressive stress a. If it is known that the normal stress along the diagonal t—t is ??t= -6.57 kPa, find stress ??y on element A. aSolve the preceding problem if the norm al and shear stresses acting on the element are sx = 2100 kPa, sy= 300 kPa, and txy= -560 kPa, and the seam is oriented at an angle of 22.5° to the clement.
- -18 through 7.4-25 An clement in plane stress is subjected to stresses ax,ay., and txy. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements. 7.4-18 sx= 2900 kPa, sy= 9100 kPar,txy=-3750kPa.4 The stresses on an clement arc known to be sx= 120 MPa, sy= 100 MPa, and txy= 75 MPa. Find the stresses on an inclined section through the element at an angle ? = 45°.-27 A square plate with side dimension of 2 in. is subjected to compressive stress a and tensile stress The stresses on element A oriented at angle ?? x1=45° aresy1= 75 psi. tx1y1= 275 psi. . Find the state of stress on the element lilt is rotated clockwise to align the x3 axis with the horizontal x axis.
- Find the value of maximum principal stress Maximum shear stress=80 MPa Minimum principal stress-30 MPaA steel pipe with an outside diameter of 115 mm and an inside diameter of 105 mm supports the loadings shown. Assume a = 510 mm, b = 230 mm, P = 20 kN, P, = 16 kN, and P; = 11 kN. (a) Determine the normal and shear stresses on the top surface of the pipe at point H. (b)Determine the principal stresses and maximum in-plane shear stress magnitude at point H and show the orientation of these stresses on an appropriate sketch. a P: P H KConsider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sy = 17 ksi, Sy = 8 ksi, and Syy = 19 ksi. (a) Draw Mohr's circle for this state of stress. (b) Determine the principal stresses (op1 > op2) and the maximum in-plane shear stress Tmax acting at the point. (c) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) Sxy Answers: Opl = i ksi. Op2 = i ksi. Tmax = i ksi. Op i
- Learning Goal: The state of in-plane stress at a point on an element of material is shown. Let o = 55.0 ksi, oy = 16.0 ksi and Try = 10.0 ksi. Use this information to represent the state of stress of the same point that is rotated through an angle of 0 = 35° b b OT ▼ Part A - Normal and shear stress on element sectioned at plane a a Using the element sectioned at plane a-a and the rotated coordinate system shown, determine the normal and shear stresses, or and Try, respectively, acting on plane a-a ▼ Part B - Normal and shear stress on element sectioned at plane b-b Using the element sectioned at plane b-b and the rotated coordinate system shown, determine the normal Or Try and shear stresses acting on plane b-b. Express your answers in ksi to three significant figures separated by a comma. View Available Hint(s) VE ΟΙ ΑΣΦΑΛΙ b vec 0 ksi3. For the state of stress shown below, calculate the principal stresses and maximum shear stress. 60 MPa Txy = 20 MPa 90 mlaConsider a point in a structural member that is subjected to plane stress. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are S, = 4 ksi, S, = 20 ksi, and Sy= 15 ksi. (a) Determine the principal stresses (opl > o,2) and the maximum in-plane shear stress Tmax acting at the point. (b) Find the smallest rotation angle 0, (counterclockwise is positive, clockwise is negative) that will rotate to principal directions. Then Current Attempt in Progress show these stresses in an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) S Answers: i ksi, Opl = ksi. Op2 = i ksi. Tmax =