PI0-3. The solid and hollow shafts are cach subjected to the torque T.In cach case,sketch the shear stress distribution along the two radial lines
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- The hollow shaft has an outside diameter of 22mm and an inside diameter of 15mm. A torque of 1000N-m is applied in the end of the shift in the shown direction. Calculate the shear stress at point C .The aluminum shaft, composed of three segments is fastened to rigid supports as A and D. Calculate the maximum shear stress in each segment when the two torques are applied. A 400 N-m 850 N-m L=1.4 m 30 mm diameter B L=2.4 m 50 mm diameter L-1.9 m 30 mm diameterL length of the adjustable wrench in the figure; Select 162 mm. F force also; Select it as 124. Find the torque and direction of the wrench applied to the bolt.
- The solid steel shaft is supported by the frictionless customer on D and E. This system The mile provided 5 kW of power in w dev / second and was connected to a motor at C. wwww ww www ww ww www wwwm www w A and B If gears get primary 2 kW and 3 kW, determine the minimum shaft diameter. w rotation speed and The safety shear stress is known and is included in the table below. pictures. wwww ww wwwwwwwww www wwwwww wwwwwwww wwwwwwwww w(cycle/second) = 100 tem(Mpa) = 40 3 kW 5 kW 2 kW A D B E C _6-26. The loading on a control torque tube for an aileron of an airplane may be idealized by a uniformly varying torque Tx = kx in-lb/in, where k is a constant(see the figure). Determine the angle of twist of the free end. Assume IpG to be constant.Figure 5-25 Full Alternative Text 5-26. If the tube is made from a material having an allowable shear stress of Tallow = 80 MPa, determine the maximum allowable intensity to of the uniform distributed torque. The inner radius is 26 mm and the outer radius is 30 mm. Prob. 5-26 500 mm CATATE PRINS ON B 500 mm C to
- The shaft, is driven by pulley B from an electric motor. Another belt drivefrom pulley A is running a compressor. The belt tensions for pulley A are 1500 N and 600 N. The ratioof belt tensions for pulley B is 3.5. The diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable tensilestress for the shaft material is 170 MPa and the allowable shear stress is 85 MPa. Taking torsion andbending factors as 1.25 and 1.75 respectively, find the shaft diameter.Also find out the dimensions for a hollow shaft with outside diameter limited to 30 mm. Compare theweights of the two shafts. [Ans. 30 mm ; 24 mm ; 1.82 Given Length CD=350mm Length AB=150mm Length BD=100mm The total length is CD =350A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 212 mm and a wall thickness of 9 mm. Segment (2) has an outside diameter of 139 mm and a wall thickness of 11 mm. The shaft is subjected to torques TB = 47 kN-m and Tc = 24 kN-m, which act in the directions shown. Determine the maximum shear stress magnitudes 7₁, 72 in each shaft segment. Answers: T1 = i T2 = i (1) (2) MPa. MPa.The solid shaft has a linear taper from rA at one end to rB at the other. Derive an equation that gives the maximum shear stress in the shaft at a location x along the shaft’s axis.
- The compound shaft carries the two torques shown. The shear moduli are 28 GPa for aluminum, 83 GPa for steel, and 35 Gpa for bronze. If T = 1168.7 Nm, U = 4515 Nm, x = 3.01 m, y = 2.36 m, z = 1.35 m, d = 90 mm, and e = 83 mm, find the angle of rotation of the free end of the shaft. Round off the final answer to two decimal places. U T Aluminum Steel Bronzeat B. The allowable shear stress in the steel is 40 MPa. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the with diameterd = 38 mm transmits 37 kw malit X7-3A motor driving a solid circular steel shat shaft does not exceed the allowable limit. Motor d = 38 mmWhen drilling a well at a constant angular velocity, the bottom end of the drill pipe encounters a torsional resistance TA. Also, soil along the sides of the pipe creates a distributed frictional torque along its length, varying uniformly from zero at the surface B to tA at A. Determine the minimum torque TB that must be supplied by the drive unit to overcome the resisting torques, and calculate the maximum shear stress in the pipe. The pipe has an outer radius ro and an inner radius ri.