The state of plane stress at a point is shown on the element in Fig. 9–19a. Determine a) the maximum in-plane shear stress and b) the principal stresses at this point, 90 MPa 60 MPa 20 MPa
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Q: Determine maximum shear stress Maximum principal stress=25 MPa Minimum principal stress=-5 MPa
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- .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°.An clement m plane stress from the frame of a racing car is oriented at a known angle 8 (sec figure). On this inclined clement, the normal and shear stresses have the magnitudes and directions shown in the figure. Determine the normal and shear stresses acting on an clement whose sides are parallel to the xy axes, that is, determine crv, tr(_, and t. Show the results on a sketch of an clement oriented at B = 10-26 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. a
- 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.Solve 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.The stress case at a point of a body is shown on the element below. Determine the principal normal stresses, the principal shear stresses and their directions. 30 MPa YA T 10 MPa
- 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 ksiDetermine-- 1)maximum in-plane shear stress in Mpa. 2)direction of maximum shear stress in degree. 3)Determine the maximum absolute shear stress in Mpa. The state of plane stress at a point is represented by the element shown in the figure. 0: = 300 Mpa Oy = 450 Mpa Txy Tay = 200 Mpa Click here to see all formulas Ox6. In a plane stress condition, the components of stress at a point are o, =20 MPa, oy =80 MPa and Txy 40 MPa. The maximum shear stress (in MPa) at the point is (A) 20 (B) 25 (C) 50 00T (a)
- The state of plane stress at a point is represented on the element shown in the figure below. (a) Determine the principal stresses acting on this point, and the corresponding orientation (angle). (b) Determine the maximum in-plane shear stress, and the corresponding orientation (angle). Also determine the associated average normal stress. Draw Mohr's circle and show the stresses on the circle. 15 ksi 23 ksi 14 ksiThe state of plane stress at a point is represented by the element shown in the figure. Oy o, = 200 Mpa oy = 450 Mpa Txy Try 3D200 Мра Click here to see all formulas Ox Part A - Determine the maximum principal stress in Mpa. O 253 О 355 O 507 O 760 O 608 Submit Request Answer O O O O OAt a point in a stressed body, the known stresses are o, = 42MPA (T), o, = 16 MPa (C), o, = 22 MPa (T), ETry = 40 MPa, Tyz 0, and Tex = 27 MPa. Determine (a) the normal and shear stresses on a plane whose outward normal is oriented at angles of 38° 77°, and 55.03° with the x, y, and z axes respectively. (b) the principal stresses and the absolute maximum shear stress at the point. Answers: (a) on = i MPa Tnt = MPa (b) Opl = i MPa Op2 = i MPa Op3 = i MPа Tabs max = i MPa