Ex. Repeat Ex. in page (24), with fluctuating load as shown below. By = 462 M2, Out = 552 MPa. Find the safety factor (NF) using Modified - Goodman, Gerber, and soderberg criterias F(N) 400 100 time
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- A 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?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.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?
- 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 W 8 × 28 beam of a length 10 ft is held between immoveable supports. The beam has a modulus of elasticity E = 29,000 ksi and coefficient of thermal expansion a = 6.5 ×10-6 /?. If the temperature of the beam is raised uniformly by an amount AT = 20°F, calculate the thermal stress aTin the beam.Thank you in advance
- H.W (3): A cantilever beam made of cold drawn carbon steel of circular cross-section as shown in Figure, is subjected to a load which varies from – F to 3 F. Determine the maximum load that this member can withstand for an indefinite life using a factor of safety as 2. The theoretical stress concentration factor is 1.42 and the notch sensitivity is 0.9. Assume the following values : Ultimate stress = 550 MPa 150 Yield stress = 470 MPa -125 Endurance limit = 275 MPa A Size factor = 0.85 20 13 Surface finish factor= 0.89 B. 3FA bar of steel has the minimum properties Se = 276 MPa, Sy = 413 MPa, and Sut = 551 MPa. The bar is subjected to a steady torsional stress of 103 MPa and an alternating bending stress of 172 MPa. 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: (a) Modified Goodman criterion. (b) Gerber criterion. (c) ASME-elliptic criterion.According to Goodman's criterion what is the safety coefficient for infinite life or the number of cycles for fatigue failure of the support set in the machine frame, as shown in the Figure, The device receives a varied load ranging from a minimum value of 100 lbf to a maximum of 1100 lbf. frame beam F max = 1 100 M== mean = 600 min = 100 rfillet K, 1.5 t d Data: - The completely corrected fatigue strength limit is Se = 22 kpsi. - The material is SAE 1040 normalized steel with Sut = 80 kpsi and Sy = 60 kpsi - Dimensions are b = 2 in; d = 1 in; D = 1.125 in; r = 0.5 in; a = 5 in and 1 = 6.0 in.
- We are given the vertical cantilever of Fig. 1, which is subjected to a horizontal distributed load with linearly varying magnitude, as shown in the same figure. We are also given that EI = 106 kip-in?. Determine the function of horizontal displacements along the cantilever, and the horizontal displacement of point B, using the method of double integration. 10 ft 5 kip/ft Figure 1Consider the material Al-$456 It has the following physical ploperties Syleld = 230mPA %3D s-72GPA (modulos elasticity) Oultimate=315 mPA G- 28GPA Cmad vlus rigidity) Tuield =130 mPA Joltimate=185 mPA A Calculate Poisson's ratio B) If we have a following dimensions And Forces 3-0 block of Al-5456 with the Ex =800N X= Bcm Fy=1000N ) Is Our block Safes (consider only plane stes) Dset up the 3 eqetions to find the strains (Ex Ey E2) in each directian E Solve the 3exuations to find the Einal dimensions of our blockExample 7 A steel bar of cross-sectional area 200 mm² is loaded as shown in Fig. Find the change in length of the bar. Take E as 200 GPa. A B 50 kN+ -20 kN 30 kN 300 mm 500 mm RSITY TAQBA