Fundamentals of Machine Component Design 5th Edition solutions

Fundamentals of Machine Component Design 5
A countershaft has a helical gear (B), a bevel gear (D), and two supporting bearings (A and C) as shown in Figure P17.33. Loads acting on the bevel gear are known. Forces on the helical gears can be determined. Shaft dimensions are known. All shoulder fillets have a radius of 5 mm. Only bearing A tak

Fundamentals of Machine Component Design 5
Figure P15.23 shows a two-stage gear reducer. Identical pairs of gears are used. (This enables input shaft a and output shaft c to be colinear, which facilitates machining of the housing.) Shaft b, called the countershaft, turns freely in bearings A and B, except for the gear-tooth forces. (a) Dete

Fundamentals of Machine Component Design 5
A cold-drawn rectangular steel bar of 140 Bhn is 10 mm thick, 60 mm wide, and has a central hole 12 mm in diameter (as in Figure 4.40). Estimate the maximum tensile force that can be applied to the ends and have infinite life with 90% reliability and a safety factor of 1.3: (a) if the force is comple

Fundamentals of Machine Component Design 5
Find the maximum value of stress at the hole and semicircular notch shown in Figure P4.73.

Fundamentals of Machine Component Design 5
A 20-mm-diameter shaft with a 6-mm-diameter transverse hole is made of cold-drawn steel having \(S_u = 550 \ \mathrm{MPa}\) and \(S_y = 462 \ \mathrm{MPa}\). Surfaces in the vicinity of the hole have a machined finish. Estimate the safety factor with respect to infinite fatigue life for (a) torque fl

Fundamentals of Machine Component Design 5
A round steel bar having \(S_y = 800 \ \mathrm{MPa}\) is subjected to loads producing calculated stresses of P/A = 70 MPa, Tc/J = 200 MPa, Mc/I = 300 MPa, and 4V/3A = 170 MPa. (a) Sketch Mohr circles showing the relative locations of maximum normal stress and maximum shear stress. (b) Determi

Fundamentals of Machine Component Design 5
The 3-in. I beam shown in Figure P5.39 has cross-sectional properties of \(A = 1.64 \ \mathrm{in.}^2, I_{11} = 2.5 \ \mathrm{in.}^4\), and \(I_{22} = 0.46 \ \mathrm{in.}^4\). It is made of steel having \(S_y = 42 \ \mathrm{ksi}\). Find the safe axial compressive load based on a safety factor of 3 for

Fundamentals of Machine Component Design 5
Figure P15.29 shows an electric motor driving a machine by means of three straigh-ttooth spur gears having 16,32, and 24 teeth. The gears have P = 8 and \(\phi\) = \(20^{\circ}\). The idler shaft is supported by bearings A and B. (a) For the direction of motor rotation shown, determine the radial l

Fundamentals of Machine Component Design 5
A plate of width 2w = 8 in. and thickness t = 0.05 in. is made of leaded beryllium copper \(\left(S_u = 98 \ \mathrm{ksi}, S_y = 117 \ \mathrm{ksi}\right)\), and a plate stress \(K_{Ic} = 70 \ \mathrm{ksi} \ \sqrt{in.}\) It is used in a boiler, where periodic inspection for cracks will be made. Estim

Fundamentals of Machine Component Design 5
A stepped shaft, as shown in Figure 4.35, has dimensions of D = 2 in., d = 1 in., and r = 0.1 in. It was machined from AISI steel of 200 Bhn hardness. The loading is one of completely reversed torsion. During a typical 30 seconds of operation under overload conditions the nominal (Tc/J) stress in the

Fundamentals of Machine Component Design 5
A pair of involute gears have base circle diameters of 60 and 120 mm. (a) If the center distance is 120 mm, what is the pressure angle? (b) If the center distance is reduced to 100 mm, what is the pressure angle? (c) What is the ratio of the two pitch diameters for each of the two center distan

Fundamentals of Machine Component Design 5
The bracket shown in Figure P11.14 supports a 4000-lb load. The fillet weld extends for the full 4-in. length on both sides. What weld size is required to give a safety factor of 3.0 if E60 series welding rod is used?

Fundamentals of Machine Component Design 5
A bevel pinion and shaft are shown in Figure P17.27. Bearing A takes thrust. The left end of the shaft is coupled to an electric motor, and the right end is free. Load components applied by the mating bevel gear are shown. (a) Draw load, shear force, and bending moment diagrams for the shaft in bo

Fundamentals of Machine Component Design 5
The drawing (Figure P2.16) shows an exploded view of an 1800-rpm motor, a gear box, and a 6000-rpm blower. The gear box weighs 20 lb, with center of gravity midway between the two mountings. All shafts rotate counterclockwise, viewed from the blower. Neglecting friction losses, determine all loads ac

Fundamentals of Machine Component Design 5
An AISI 1030 steel part is annealed to 126 Bhn. Estimate the values of \(S_u\) and \(S_y\) for this part.

Fundamentals of Machine Component Design 5
Figure P8.33 shows a cantilever beam serving as a spring for a latching mechanism. When assembled, the free end is deflected 0.075 in., which corresponds to a force F of 8.65 lb. When the latch operates, the end deflects an additional 0.15 in. Would you expect eventual fatigue failure?

Fundamentals of Machine Component Design 5
A fan shown in Figure P19.2 that is welded to a 0.3-m-diameter pulley is turned at 1800 rpm by a belt driven by an identical pulley attached to the shaft of an electric motor. While operating, the tight side of the belt is loaded in tension to 2000 N and the slack side to 200 N in tension. Determine

Fundamentals of Machine Component Design 5
Figure P5.41 shows a boom and tie-rod arrangement supporting a load of 6 kN. The tie-rod is made of steel having a tensile yield strength of 400 MPa. (a) What is the safety factor of the tie-rod with respect to static yielding? (b) What is the safety factor of the tie-rod if the vertical rod

Fundamentals of Machine Component Design 5
A torsion bar spring as shown in Figure 12.1b is used as a counterbalance spring for the trunk lid of an automobile. The length of the torsion bar portion is 50 in. and the diameter is 0.312 in. Calculate the change in shear stress in the bar and the change in torque when one end of the bar angularly

Fundamentals of Machine Component Design 5
A car skidded off an icy road and became stuck in deep snow at the road shoulder. Another car, of 1400-kg mass, attempted to jerk the stuck vehicle back onto the road using a 5-m steel tow cable of stiffness k = 5000 N/mm. The traction available to the rescue car prevented it from exerting any signif