The figure shows the front part of a rigid coupling that transmits a torque of 1500 Nm betweentwo parts of steel with metallized surface treatment. The location of the bolts in theconnection is shown in the figure. Bolts are mounted in holes with clearance. Using the slipresistance condition, calculate the tensile stress area (At) of the critical bolt considering boltswith class 8.8 and safety factor n = 2.5.100 mm60 mm

The question asks to calculate the tensile stress area (At) of the critical bolt considering a bolt…

Answered: The figure shows the front part of a…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.8.24P: A bicycle chain consists of a series of small links, where each are 12 mm long between the centers...

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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.
Solve the following problems as stated below. Draw the figure and FBD. PROBLEM A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in diameter and 6 bronze bolts on a concentric bplt circle 200 mm. in diameter. What are the sizes of bolts diameters for steel and bronze, if the torque applied is 6,000 N-m and without exceeding the stress of 60 MPa in the steel and 40 MPa for the bronze? The ratio of the bolt diameter dp / ds = 0.50. For steel, use Gs = 83 GPa and for bronze, Gp = 28 Gpa. R Rs Rb
Solve the following problems as stated below. Draw the figure and FBD. PROBLEM A flanged bolt coupling consist of 9 steel bolts evenly spaced around a bolt circle 300 mm. in diameter and 6 bronze bolts on a concentric bplt circle 200 mm. in diameter. What are the sizes of bolts diameters for steel and bronze, if the torque applied is 6,000 N-m and without exceeding the stress of 60 MPa in the steel and 40 MPa for the bronze? The ratio of the bolt diameter d, / ds = 0.50. For steel, use Gs = 83 GPa and for bronze, G, = 28 Gpa. %3D Rs Rp
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.
The figure shows a connection that employs three SAE grade 4 bolts. The tensile shear load on the joint is 4000 lbf. The members are bars of AISI 1020 HR steel. Assume the bolt threads do not extend into the joint. Find the factor of safety for each possible mode of failure. (Refer example problem 8.6 on pg. 445). in ∞ in 100 in 1 in in Đ 1in -2 in in-20 UNC 5 5 in in

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