Problem Steel block with triaxial loading as shown, 2" 3" For Steel, E = 29 x 10° Psi y = 0.3 Loads: (Original Loading – Load are Uniformly Distributed Along Their Axis) F, = 48 Kips (T) = 60 Kips (C) F; = 54 Kips (T) Fy = Required: Determine the magnitude F, ' of the single uniformly distributed load in the x- direction that would produce the same deformation in the y-direction as the original loading. F2
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- Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.A rectangular steel block is 76 mm long in the x direction, 50 mm long in the y direction, and 100 mmlong in the z direction. The block is subjected to a triaxial loading consisting of three axial forces asfollows: 214 kN tension in the x direction, 268 kN compression in the y direction, and 241 kN tensionin the z direction. If v = 0.30 and E = 200 GPa, determine the axial load in the x direction that wouldproduce the same deformation in the y direction as the original loading.A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as floows; 48 kips tension in the x directio, 60 kips compression in the y direction, and 54 kips tension in the z direction. If v = 0.30 and E = 29 x 106 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.
- A steel torsion bar AB with diameter d = 34 mm, and ductile material of tensile yield strength Sy = 276 MPa is attached to a rigid arm at A, supported by a bearing at C, and fixed at B, as the picture shows. At the right end of the arm is mounted the wheel on which the vertical force P acts from the ground and which passes through the center of the wheel. If bearing C acts as a simple support and the effect of transverse shear due to P is negligible, determine the maximum force P (in kN) that can be applied to the wheel. Consider a factor of safety n = 2.5. Use the maximum energy of distortion failure criterion and do the analysis on bar AB (torsion bar) in the section where the bearing is.A circular steel tube of length L = 1.0 m is loaded by torques T a) If the inner radius of the tube is r1 = 45 mm and the measured angle of twist betweenthe ends is 0.5°, what is the shear strain γ1 (in radians) at the inners surface? b) If the maximum allowable shear strain is 0.0004 rad and the angle of twist is to bekept at 0.45° by adjusting the torque T, what is the maximum permissible outer radius(r2)max?two solid steel shafts of different diameters are joined together at point C. the diameter of the smaller shaft is 0.5 in, while the diameter of the larger shaft is 1 in. if the supports at both ends, A & B, are unyielding / rigid, and a counterclockwise torque of 500 ft lb at point D, determine the maximum shear stress in the shaft in ksi. The modulus of rigidity for steel is 10800 ksi.Show full solution please
- A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in the z direction. If the Poisson’ Ration is 0.30 and the modulus of elasticity is 29xksi, determine the deformations at each direction. Also, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circular bars, one of brass and the other of steel, are to be loaded by a shear load of 30 KN. Determine the necessary diameter of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m² and 100 MN/m² respectively. Ans: [27.6, 19.5, 19.5, 13.8mm.]A hollow circular tube with a 2.3-cm I.D. and 2.5-cm O.D. is rigidly supported at its ends. A 2.5 kN-m torque is applied at the center of this tube. What is the maximum shear stress acting on this tube?
- (30%) A circular aluminum tube subjected to T pure torsion by torques T has an outer radius r2 equal to 2 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 500x10-6 rad, what is the shear strain y1 at the inner surface? (b) If the maximum allowable rate of twist (0) is 0.15°/m and the maximum shear strain is to be kept at 500x10-6 rad by adjusting the torque T, what is the minimum required outer radius (r2 )min?A drill rod with a diameter of 12 mm is made of high-strength steel alloy with a shear modulus of 80 GPa. The rod is to be subjected to a torque T. What is the minimum required length L of the rod so that the cross section at one end can be rotated 90⁰ with respect to the other end without exceeding an allowable shear stress of 300 MPa?A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loding if three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in z direction. If v=0.30 and E=29x10^6 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading. DetermineNormal strain in x, y & z direction.Elongation in x, y & z direction.