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- Solve the preceding problem if the diameter is 480 mm, the pressure is 20 MPa, the yield stress in tension is 975 MPa, the yield stress in shear is 460 MPa, the factor of safety is 2,75, the modulus of elasticity is 210 GPa, Poissorfs ratio is 0.28, and the normal strain must not exceed 1190 x 10" . For part (b), assume that the tank thickness is 8 mm and the measured normal strain is 990 x 10~ .Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?
- A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer that cracks when the strain reaches 150 X 10~ (see figure). (a) What internal pressure p will cause the lacquer to develop cracks? (Assume E = 205 GPa and v = 0.30.) (b) If the strain is measured at 125 x 10-6, what is the internal pressure at that point?Repeat Problem 2.3-18, but assume that the bar is made of aluminum alloy. If P2= 200 kN, what is P1so that displacement
- A solid circular bar of diameter d = 50 mm (see figure) is twisted in a testing maching until the applied torque reaches the value T = 500 N ·. At this value of torque, a strain gage oriented at 45º to the axis of the bar gives a reading e = 339 × 10-6. What is the shear modulus G of the material?A tension bar 100mm x 10mm is to carry a load of 150kN. A specimen of the same quality steel of cross sectional area 800mm2 was tested in the workshop. The maximum load carried was 400kN. Find the ultimate tensile strength, factor of safety in the design and the gauge length. 1. Compute the torsional shear stress in a circular shaft with diameter of 50mm that is subjected to a torque of 800 Nm.Q4: Torque wrench in the fig, is made of 350MPA steel and loaded with 1 kN load. Find out the most critical point and the principle stress state at that point? 50 O 25 250 30 25
- oblem 100 A bar of steel has the minimum properties S₂ = 40 kpsi, Sy = 60 kpsi, and Sut = 80 kpsi. The bar is subjected to a steady torsional stress of 15 kpsi with an alternating torsional component of 15 kpsi and an alternating bending stress of 12 kpsi. Find the factor of safety guarding against a static failure, and either the factor of safety guarding against a fatigue failure or the expected life of the part. For the fatigue analysis use: Goodman criterion.A link of a valve gear has to be curved in one plane, for the sake of clearance. Estimate the maximum tensile and compressive stress in the link if the thrust is 2500 N. (Cam bridge) ANSWER: maximum tensile 38.0 MN/m2; maximum compressive 46.0 MNIm2. Please show the solution to get the answer.A leaf spring in an automobile is subjected to cyclic stresses. The average stress = 150 Mpa; variable stress = 500 MPa; yield point stress = 350 MPa and endurance limit = 150 MPa. Estimate, under what factor of safety the spring is working, by Goodman and Soberberg formulate