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- A The member consists of the steel rod AB that is screwed into the end of the bronze rod BC. Find the largest value of P that meets the following design criteria: (i) the overall length of the member is not to change by more than 3 mm; and (ii) the stresses are not to exceed 140 MPa in steel and 120 MPa in bronze. The moduli of Problem 4: Steel A= 480 mm? 1.0 m B elasticity are 200 GPa for steel and 80 GPa for bronze. Problem 5: The compound bar carries the axial forces P and 2P. Find the maximum allowable value of P if the working stresses are 40 ksi for steel and 20 ksi for alumi- num, and the total elongation of the bar is not to exoceed 0.2 in. 3P Bronze A= 650 mm 2 m 3 ft 4 ft 2P Steel A = 0,4 in.2 E = 29 × 10° psi 2P Aluminum A = 0.6 in.2 E= 10 x 10° psiPortions of a x-in. square bar have been bent to form the two machine components shown. Knowing that the allowable stress is 18 ksi, determine the maximum load that can be applied to each component. (a) 1 in. (b) The maximum load that can be applied to component (a) is The maximum load that can be applied to component (b) is lb. lb.The compound shaft shown is attached to rigid supports. a Bronze B Steel For the bronze For the steel Diameter = 100mm Diameter = 50mm G= 35GPA G= 83GPA Sallowable= 45MPA SSallowable= 55MPA. Lbr= 2.13 a. determine the ratio of the lengths of the bronze and steel so that each material will be stressed to its maximum permissible limit b. determine the maximum torque carried by the bronze. C. what is the relative angle of twist with respect to the support if max torsion is applied at B.
- Question 4. Three wires are used to suspend the plate shown. Aluminium wires are used at A and B with a diameter of 3 mm and a steel wire is used at C with a diameter of 2 mm. Knowing that the allowable stress for aluminium (E = 72 GPa) is 96 MPa and that the allowable stress for steel (E = 200 GPa) is 124 MPa, determine the maximum load P that may be applied. L L P BMaxinnun allowable stress for steel - 140 MPa Maxinnum allowable stress for ahuminum = 90 MPa Maxinnun allowable stress for brouze - 100 MPa Required: Maximun safe value of axial load P Aluminum A 400 mm Bronze A= 200 mm Steel A= 500 mm 2P 4P 2.5 m 2.0 m 1.5mThe compound shaft as shown is attached to rigid supports. It is subjected to concentrated torque at the junction. The length of the steel segment is 1m. Bronze Steel O = 75 mm G = 35 GPa 0 = 50 mm G = 83 GPa = 80 MPa Te = 60 MPa Tll all BỊ a b a. Determine the ratio of the length of the steel segment to that of the bronze such that the materials will be stressed to their limits. b. Determine the torsional reaction, in N-m, at the right supports if the applied torque at the junction is maximized. C. determine the angle of the twist, in ° degrees, at the junction.
- The assembly consists of two red brass C83400 copper rods AB and CD having a diameter of 30 mm, a 304 stainless steel rod EF having a diameter of 40 mm, and a rigid member G. If the supports at A, C, and F each have a stiffness of k= 200 MN/m determine the average normal stress developed in the rods when the load is applied. A C -300 mm- 30 mm 30 mm B D G E 450 mm 40 kN 40 kN 40 mm FA brass sleeve S is fitted over a steel bolt B, and the nut is tightened until it is just snug. The bolt has a diameter of dg = 25 mm. and the sleeve has inside and outside diameters of di = 26 mm and dz = 36 mm, respectively. d2 di Sleeve (S), dB Bolt (B) Calculate the temperature rise AT that is required to produce a compressive stress of 24 MPa in the sleeve. (Use material properties as follows: for the sleeve, as = 21 x 10-6/°C and Es = 200 GPa; for the bolt, aB = 10 x 10-6/*C and Eg = 400 GPa.) AT = *C (Round to the nearest whole number.)ok Strength of Materials donO نورا حياتها مترجر شریه ✓t مقادم نلود Dr. Mohammed Hashim Mohammed Problems tan't yorada grutegraat km). E1.x² (1) A steel rod with cross-sectional area of 150mm² is stretched between two fixed points. The tensile load at 20°c is 5 kN. What will be the stress at -20°c? At what temperature the stress will be zero? bedre α = 11.7x10 6/2 and E = 200x10² N/m².
- The rigid bar of negligible weight is supported as shown. The assembly is initially stress-free. Find the stress in each rod if the temperature rises after a load W = 120 kN is applied. Steel rod Bronze rod A (mm²) 350 1500 a (/°C) 11.7 x 10-6 18.9 x 10-6 E (GPa) 200 83 O Steel 1.5 m 1.0 m- 2.5 m 9. Determine the stress at the steel rod in MPa when there is a temperature rise of AT = 36 °C. W Bronze 3 m 1.5 m-A compressive load P is transmitted througha rigid plate to three magnesium-alloy bars that areidentical except that initially the middle bar is slightlyshorter than the other bars (see figure). The dimensionsand properties of the assembly are as follows:length L = 1.0 m, cross-sectional area of each barA = 3000mm2, modulus of elasticity E = 45 GPa,and the gap s = 1.0 mm.(a) Calculate the load P1 required to close the gap.(b) Calculate the downward displacement d of therigid plate when P = 400 kN.(c) Calculate the total strain energy U of the threebars when P = 400 kN.(d) Explain why the strain energy U is not equal toPδ / 2. Hint: Draw a load-displacement diagram.Brass. (c). A bar of length 1000 mm and diameter 30 mm is centrally bored for 400 mm, the bore diameter being 10 mm as shown below. Under a load of 30 kN, if the extension of the bar is 0.222 mm, what is the modulus of elasticity of the bar? mam um