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.For the Cobb-Douglas production function Q = AK" L' - a, find the elasticity %3D of substitution by using the formula o = ƏL OK OL ƏK
- Built-in rod material property with given dimension dimensions: (It is assumed that the yield strength is not exceeded). ElasticitySince the modulus is E = 2200000 daN / cm2, the maximum deflection (displacement) of the bar will be calculated by the Double Integration Method.find? (No Other Method Will Be Used - will not be considered when used)Thank you in advanceA simple rod acted by fluctuating axial force produced a fluctuating stresses as Sigma_min=100MPA, Sigma_max = 500MPA, using mod-goodman answer Q1- Q5 (Sy = 400MPA, Sut = 600MPA) %3D * The equivalent fully reversed stress is
- Find the equivalent stresses at Points 1 and 2 of the element with given geometry and loading conditions according to the Maximum shear stress hypothesis and the Maximum strain energy hypothesis. Shaft diameter: 20 mm, Shaft Length 120 mm, F1 = 750N, F2 = 3000N, Mb = 2400 N.mm. Steel if St37 and Safety coefficient is 2 If taken, will this stick work safely under these operating conditions? (Yield of given steel Strength 225 Mpa, Tensile strength 370 Mpa)a) A notched rectangular bar as shown in figure, subjected to a axial loading of 300 kN and the maximum stress of 1300 MPa. Find out the thickness (t) and width (w) of the plate if width is taken as 3.75 times of thickness and also find the fillet radius(r) Take theoretical stress concentration factor as 2.5. Also find out actual stress concentration factor if the notch Sensitivity is 0.7. b) State the reason for the following. (i) Providing a number of small notches rather than a long one --- (ii) Crack initiation ---- (iii) Crack propagation ---Question 1 A bar of steel bar transmits a steady torsion of 30 kpsi while being subjected to an alternating bending stress of 45 kpsi. The material properties are given as Se 50 kpsi, Sy= 72 kpsi, and Sut= 85 kpsi. Find the factor of safety guarding against fatigue failure. For the fatigue analysis use: Modified Goodman criterion.