A 10 kN falls 30 mm on a collar rigidly attached to a vertical rod of 4 m long and section of 1000 mm². Find the instantaneous ex- tension of the bar. Use E = 210 GPa.
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- Solve the preceding problem for the following data: b = 6 in., b = 10 in, L = 110 ft, tan a = 1/3, and q = 325 lb/ft.The uniform 44 kN bar BC is supported by a pin at C and the aluminum wire AB. The cross-sectional area of the wire is 178.5 mm2. Assuming bar BC to be rigid, find the vertical displacement of B due to the weight of the bar. Use E = 71 GPa for aluminum. Anwer must be in mm.The figure illustrates a torsion-bar spring OA having a diameter d = 12 mm. The actuating cantilever AB also has d = 12 mm. Both parts are of carbon steel. Use Castigliano’s theorem and find the spring rake k corresponding to a force F acting at B.
- CDEFGH is plate with a circular hole in it and has a unit weight p = 2 kN/m². If the initial length of the spring is 1m, find the stretched length of the spring attached at C to the given system. The stiffness of the spring id k-50 kN/m. p H 0 2 m Lütfen birini seçin: D A. 1.6019 m B. 1.8258 m C. 2.0480 m D. 2.2694 m E. 1.3727 m F. None of the above X 2 m 2 m G 2 m F E 3m 1mA close-coiled helical spring is made of a wire of diameter 20 mm. The mean radius of the coils is 100 mm. Find the number of turns required and the maximum axial load permissible if the shear stress is not to exceed 100 MPa and the maximum elongation is limited to 40 mm. G = 83 GPa.The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.
- The figure illustrates a stepped torsion-bar spring OA with an actuating cantilever AB. Both parts are of carbon steel (Young's modulus is 207 GPa and shear modulus is 79.3 GPa). Use Castigliano's theorem to find the spring rate k corresponding to a force F acting at B. Hint: you need to consider the bending of member AB and torsion of member AO. 18 mm, 12 mm 0.2 m 0.4 m 8 mm 0.2 m B(1) IN Z 60 in B cord ले Q=ib 70 in 10 insi C In cord 42 (W = TBD A 1 16 45 in P = 42 16 Q = 54 16 x A block of weight W is suspended by two cords, AC and BC, shown, and forces P (in the x direc) and Q (in the z direc) are exerted at C. Find the weight W of the block, and the fensions TAC and Ter in the two cords. Ас BCA simple torsion-bar spring is shown. The shear stress in the steel [G= 11,500 ksi] shaft is not to exceed 10800 psi, and the vertical deflection of joint D is not to exceed 0.425 in. when a load of P = 3100 lb is applied. Neglect the bending of the shaft and assume that the bearing at C allows the shaft to rotate freely. Determine the minimum diameter required for the shaft. Use dimensions of a = 84 in., b = 32 in., and c = 36 in. Part 1 Answer: T = a i D P B Calculate the torque being applied to the shaft at point B. b C lb-in
- A cylindrical steel pressure vessel has a 700 mm inner radius and 15 mm thick walls. Find the change in the inner radius when the vessel is pressurized to 1.5 MPa. Use E= 200 GPa and Poisson's ratio= 0.3 for steel.MA solid cylindrical steel (G=11x10^6 psi) shaft AB, has two different diameters and is secured at both supports A and B. Such that no rotation at the supports can occur. A roque of 976 in lbs applied at junction C as shown. Calculate the reaction at A: