The figure shows the front part of a rigid coupling that transmits a torque of 1500 Nm between two parts of steel with metallized surface treatment. The location of the bolts in the connection is shown in the figure. Bolts are mounted in holes with clearance. Using the slip resistance condition, calculate the tensile stress area (At) of the critical bolt considering bolts with class 8.8 and safety factor n = 2.5. 100 mm 60 mm
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- A magnesium-alloy wire of diameter d = 4mm and length L rotates inside a flexible tube in order to open or close a switch from a remote location (see figure). A torque Tis applied manually (either clockwise or counterclockwise) at end 5, thus twisting the wire inside the tube. At the other end A, the rotation of the wire operates a handle that opens or closes the switch. A torque T0 = 0.2 N · m is required to operate the switch. The torsional stiffness of the tube, combined with friction between the tube and the wire, induces a distributed torque of constant intensity t = 0.04N m/m (torque per unit distance) acting along the entire length of the wire. (a) If the allowable shear stress in the wire is T allow = 30 MPa, what is the longest permissible length Lmaxof the wire?Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?A crank arm consists of a solid segment of length bxand diameter rf, a segment of length bltand a segment of length byas shown in the figure. Two loads P act as shown: one parallel to — vand another parallel to —y. Each load P equals 1.2 kN. The crankshaft dimensions are A] = 75 mm, fr> = 125 mm, and b3= 35 mm. The diameter of the upper shaft isd = 22 mm, (a) Determine the maximum tensile, compressive, and shear stresses at point A, which is located on the surface of the shaft at the z axis. (b) Determine the maximum tensile, compressive, and shear stresses at point B, which is located on the surface of the shaft at the y axis
- Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.A bicycle chain consists of a series of small links, where each are 12 mm long between the centers of the pins (see figure). You might wish to examine a bicycle chain and observe its construction. Note particularly the pins, which have a diameter of 2.5 mm. To solve this problem, make two measurements on a bicycle (see figure): (1) the length L of the crank arm from main axle to pedal axle and (2) the radius R of the sprocket (the toothed wheel, sometimes called the chainring). (a) Using your measured dimensions, calculate the tensile force T in the chain due to a force F = 800 N applied to one of the pedals. (b) Calculate the average shear stress T averin the pins.Repeat Problem 10.3-15 using L = 3.5 m, max = 3 mm, and EI = 800 kN·m2.
- Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.Repeat Problem 2.3-4, but now include the weight of the bar. Sec Table 1.1 in Appendix I for the weight density of steel.The figure shows a shaft mounted in bearings at A and D and having pulleys at B and C. The forces shown acting on the pulley surfaces represent the belt tensions. The shaft is to be made of AISI 1035 CD steel. The shaft is rotating at speed of 1000 rpm. Find the minimum factor of safety for fatigue based on infinite life. If the life is not infinite, estimate the number of cycles. Be sure to check for yielding. Take shaft diameter to be 1.5 inches.
- please do it correctlyThe figure below shows a boat propeller mounted on a drive shaft with a 7 mm diameter (d) cylindrical drive pin inserted through the hub and the shaft. The drive shaft diameter, D, inside the hub is 69 mm. The pin is made from AISI 1020 cold rolled steel, which has a yield stress of 427 MPa and an ultimate stress of 621 MPa. If the drive pin is subjected to an overload (e.g. strikes a log), calculate the torque (Nm) required to shear the pin. Note: Assume that the max shear stress of the pin material is approximately equal 82% of the ultimate tensile stress. Do not include units in your answer. Pin F Hub Drive pin Shaft Drive shaft F Shear planes Hub Answer:Do # 26 not # 25