This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here, you are to compute factors of safety, based upon the distortion energy theory, for stress elements at A and B of the member shown below. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F = 0.55 kN, P = 4.0 kN, and T = 25 N-m. 100 mm 15-mm D.
Q: This problem illustrates that the factor of safety for a machine element depends on the particular…
A: Given, AISI 1006 cold drawn steel, F = 0.55 N, P = 4.0 kN, T = 25 Nm, yield stress, Sy = 280 MPa, D…
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Q: 5 (a) A steel bar is subjected to a sequence of completely reversed stress cycles which vary over a…
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Q: A ductile hot-rolled steel bar has a minimum yield strength in tension and compression of 350 MPa.…
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Q: Bar of steel, (yield strenght Sy = 462 MPa) is subjected to the following stresses; σx = 171 MPa ,…
A: Since factor of safety greater than 1 hence bar will not fail. We can find the factor of safety (FS)…
Q: Bar of steel, (yield strenght Sy = 445 MPa) is subjected to the following stresses; σx = 228 MPa ,…
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Q: 600 400 3 kN 00,
A: Given:Yield strength of Steel, Syt=480 MPaFactor of safety=2
Q: Fi=5 kN 100mm F1OKN 1s0mm 3R. 1,5 R $40mm 20 mm p ø Somm 25 mm Sa 150 mm IS0 mm 25mm
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Q: A hollow tubular component is made of Steel having a Young's modulus of 205 GPa and yield strength…
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Q: The bars, shown in sketches (a) and (b), are made from cold-drawn, AISI 1050 QT at 425 °C medium…
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Q: Q.2. A bolt is subjected to a tensile load of 18 kN and a shear load of 12 kN. The materia has an…
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Q: A round cross section cold drawn steel bar made of AISI 1020 has a diameter of 35 mm. Based on a…
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Q: This problem illustrate that the factor of safety for a machine element depends on the particular…
A: For AISI 1015 Cold Drawn Steel , the properties are as follows: Yeild Tensile Strength = 325 MPa…
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Q: Required Information For a bar of AISI 1015 cold-drawn steel, determine the factor of safety using…
A: Given dataσA=28kpsiσB=15.5 kpsi``
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A: Data given- n = 900 rpm F = 10.1 kN . reliability = 99.9 % T = 35°C
Q: 2. This bar is made of AISI 1006 cold-drawn steel and is loaded by the forces F = 0.55 kN, P = 4.0…
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Q: Q-4 This problem illustrates that the factor of safety for a machine element depends on the…
A: *The magnitude of the force F is F=0.55 kN. *The magnitude of the force P is P=4 kN. *The magnitude…
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Q: 1. An AISI 1018 steel has a yield strength, Sy = 295 MPa. Using the distortion energy theory for the…
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Q: A cylindrical shaft made of steel of yield strength 700 MPa is subjected to static loads consisting…
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Q: Q A cylindrical shaft made of steel of yield strength 700 MPa is subjected to static loads…
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Q: A 500 mm long rotating shaft has a groove in the middle and carries a 2 kN transverse force at…
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Q: A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces R, and R₂. The…
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Q: 1. Define the terms load , stress and strain. Discuss the various types of stresses and strain. 2.…
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Q: Cantilevered rod OA is 0.5 m long, and made from AISI 1010 hot-rolled steel. A constant force and…
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Q: The bar shown made from steel (S= 90 ksi) is subjected to a fully reversed bending mornent of 1500…
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- An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
- 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.Solve the preceding problem if the thickness of the steel plate is. t = 12 mm. the gage readings are x = 530 × 10-6 (elongation) and y = -210 -× l0-6 (shortening), the modulus is E = 200 GPa, and Poisson’s ratio is v = 0.30.(a) Solve part (a) of the preceding problem if the pressure is 8.5 psi, the diameter is 10 in., the wall thickness is 0,05 in., the modulus of elasticity is 200 psi, and Poisson's ratio is 0.48. (b) If the strain must be limited to 1.01, find the maximum acceptable inflation pressure
- A high-strength steel bar used in a large crane has a diameter d = 2.00 in. (sec figure). The steel has a modulus of elasticity E = 29 × 10 psi and Poisson’s ratio is v = 0.29. Because of clearance requirements, the diameter of the bar is limited to 2.001 in. when it is compressed by axial forces. What is the largest compressive load Pmaxthat is permitted?The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio RS/Wfor a material in tension is defined as Rs/w= in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress Uas the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.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?
- -11 A rubber cube R of a side L = 3 in. and cross- sectional area A = 9 in2 is compressed inside a steel cube S by a force F = 5 lb that applies uniformly distributed pressure to the rubber. Assume E 0.3ksi and,, = 0.45. (a) Calculate the lateral pressure between the rubber and steel (disregard friction between the rubber and the steel, and assume that the steel block is rigid when compared to the rubber). (b) Calculate the change in volume of the rubber.Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?