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The principal strains at a point on the aluminum surface of a tank are
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Statics and Mechanics of Materials (5th Edition)
- The material is subjected to biaxial loading producing uniform normal stress x and y as shown. The strains are Strainx=−0.00065 and Strainy=−0.00040. Use E=30×106 psi and v=0.30. Determine the following: (a) stress at x. Indicate tension or compression. Use 2 decimal places. (b) stress at y. Indicate tension or compression. Use 2 decimal places. (c) Change in the thickness of the material. Indicate elongation or contraction. Use 5 decimal places and scientific notation of ×10−3(Example: _ . _ _ _ _ _ ×10−3)arrow_forwardQ 2: A cantilever beam has the profile shown so that it will provide sufficient clearances for large pulleys mounted on the line shaft its supports. The reaction of the line shaft is a load P-115.33KN. Determine the resultant normal stresses at the wall. 50 mm |20 - 120-arrow_forwardThe principal strains at a point on the aluminum fuselage of a jet aircraft are P1 = 780(10-6) and P2 = 400(10-6). Determine the associated principal stresses at the point in the same plane. Eal = 10(103) ksi, nal = 0.33.arrow_forward
- A state of stress at a point A is given by σx = -75 MPa, σy = 122 MPa, and τxy = -3.75 MPa. Which of the following is one of the principal stresses for the point A.arrow_forward1. The following state of strain has been determined on the surface of a cast-iron machine part: =- 720, =- 400, = 660 Knowing that E = 69 GPa and G = 28 GPa, determine the principal stresses using the following approaches: by determining the corresponding state of plane stress, and further using Mohr's circle for stress ii. by using Mohr's circle for strain to determine the orientation and magnitude of the principal strains, and further define the corresponding stressesarrow_forwardThe state of stress at a point in a member is shown on the element. Suppose that σx = -50MPa , σy = -120MPa , τxy = -30 MPa . Determine the normal stress component acting on the plane AB. σx′=?arrow_forward
- The state of stress at a point in a member is shown on the element. Take σx = 90 MPa , σy= 65 MPa , τxy = 40 MPa . A) Determine the normal stress component acting on the inclined plane AB. Solve the problem using the method of equilibrium. B)Determine the shear stress component acting on the inclined plane AB. Solve the problem using the method of equilibrium.arrow_forwardCalculate the normal stresses (in Pa) at point A of the bracket caused by the 11023 N force. E4.png 540 mm 180 mm- 1. 180 mm 60 mm → - 4 Your Answer: 6,940,407.40740741arrow_forwardThe steel pipe in (Figure 1) has an inner diameter of 4.57 in. and an outer diameter of 4.82 in. Figure 12 in. 12 in. 1 of 1 > 60 lb Part A If it is fixed at C and subjected to the horizontal 60-lb force acting on the handle of the pipe wrench at its end, determine the principal stresses in the pipe at point A, which is located on the outer surface of the pipe. Express your answers, separated by a comma, to three significant figures. 01, 02 = Submit Provide Feedback Request Answer pai, psi Next >arrow_forward
- The small steel plate is connected to the right angle bracket by a 6 mm diameter bolt and the applied force's magnitude is F = 26 kN. 6 mm F d A F 20 mm Determine the tensile stress at point A in the plate and the shear stress in the bolt. (Express your answers using three significant figures.) |MPa |MPaarrow_forwardhe state of stress at a point in a member is shown on the element. Take σx = -3 ksi , σy= 4 ksi , τxy = -3 ksi . A) Determine the shear stress component acting on the inclined plane AB. Solve the problem using the method of equilibrium. B) Determine the normal stress component acting on the inclined plane AB. Solve the problem using the method of equilibrium.arrow_forwardDetermine the equivalent state of stress on an element at the same point oriented 60° clockwise with respect to the element shown. Sketch the results on the element. | 100 MPa 75 MPa 150 MPaarrow_forward
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