A rope has a cross sectional area of 0.002m2 and is being used to lift a 5000N weight. What is the stress in the rope?
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A rope has a cross sectional area of 0.002m2 and is being used to lift a 5000N weight. What is the stress in the rope?
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- A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to lift a bridge section weighing 38 kN. as shown in the figure. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 14 m long, how much will it stretch when the load is picked up? (b) If the cable is rated for a maximum load of 70 kN, that is the factor of safety with respect to failure of the cable?A round bar of 10 mm diameter is made of aluminum alloy 7075-T6 (see figure). When the bar is stretched by axial forces P, its diameter decreases by 0.0 16 mm. Find the magnitude of the load P. Obtain the material properties from Appendix 1.The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.
- A cylinder filled with oil is under pressure from a piston, as shown in the figure. The diameter d of the piston is 1,80 in. and the compressive force F is 3500 lb. The maximum allowable shear stress t^^, in the wall of the cylinder is 5500 psi. What is the minimum permissible thickness t„± of the cylinder wall? (Sec figureTwo bars AC and BC of the same material support a vertical load P (see figure). The length L of the horizontal bar is fixed, but the angle fl can be varied by moving support A vertically and changing the length of bar AC to correspond with the new position of support A. The allowable stresses in the bars are the same in tension and compression. When the angle ft is reduced, bar AC becomes shorter, but the cross-sectional areas of both bars increase because the axial forces are larger. The opposite effects occur if the angle 0 is increased. Thus, the weight of the structure (which is proportional to the volume) depends upon the angle ft. Determine the angle ft so that the structure has minimum weight without exceeding the allowable stresses in the bars. Note: The weights of the bars are very small compared to the force P and may be disregarded.A steel band 8mm thick is to be pulled on to a cylinder 30cm in diameter . The internal diameter of the hoop formed by the band is 29.98cm . By how much will it be necessary to increase the temperature of the hoop, so that it would slide over the surface of the cylinder ? What stress will occur in the hoop when it reaches the same temperature as the cylinder , if the deformation of the cylinder may be neglected ? (Write complete solution)
- A tensile force. of 120 kN is applied on a 0.02-m diameter and 2-m long rod. After applying the load, the diameter decreases to 0.01998 m and the length increases to 2.01 m. The true stress on that rod is?A nylon string has a diameter of 2 mm, pulled by a force of 100 N. Determine the stress.Is the stress twice as great as the longitudinal stress? How?
- Calculate the diameter of a pressure vessel of thickness 0.04 m and the inside pressure is 20 mpa. Assume the permissible stress of the vessel is 100 mpa.The global stresses in a three-ply laminate are given at the top and bottom surface of each ply in the tables below. Assume that each ply is 0.005 in. thick and the laminate has a top cross section of 4 in. × 4 in. What is the resultant force component Nx for the laminate in lb/in? What is the resultant force component Ny for the laminate in lb/in? What is the resultant force component Nxy for the laminate in lb/in?A tensile force of 100 kN is applied on a 0.02-m diameter and 2-m long rod. After applying the load, the diameter of the rod decreases to 0.01998 m and the length increases to2.01 m. The true axialstrain is?