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Shigley’s Mechanical Engineering Design [EXP-6591]
159 SOLVED PROBLEMS
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A 1.5-in-diameter bar has been machined from an AISI 1050 cold-drawn bar. This part is to withstand a fluctuating tensile load varying from 0 to 16 kip. Because of the ends, and the fillet radius, a fatigue stress-concentration factor Kf is 1.85 for 10^6 or larger life.
Verified Answer:
We begin with some preliminaries. From Table A–20,...
A 1/2-in by 2-in rectangular-cross-section UNS G10150 HR bar carries a static load of 16.5 kip. It is welded to a gusset plate with a 3/8-in fillet weld 2 in long on both sides with an E70XX electrode as depicted in Fig. 9–18. Use the welding code method. (a) Is the weld metal strength satisfactory
Verified Answer:
(a) From Table 9–6, allowable force per unit lengt...
Question: 17–4
A 10-hp split-phase motor running at 1750 rev/min is used to drive a rotary pump, which operates 24 hours per day. An engineer has specified a 7.4-in small sheave, an 11-in large sheave, and three B112 belts. The service factor of 1.2 was augmented by 0.1 because of the continuous-duty requirement.
Verified Answer:
The peripheral speed V of the belt is [late...
A 1015 hot-rolled steel bar has been machined to a diameter of 1 in. It is to be placed in reversed axial loading for 70 000 cycles to failure in an operating environment of 550°F. Using ASTM minimum properties, and a reliability of 99 percent, estimate the endurance limit and fatigue strength
Verified Answer:
From Table A–20,
S_{u t}=50 kpsi \text { at...
A 1035 steel has a tensile strength of 70 kpsi and is to be used for a part that sees 450°F in service. Estimate the Marin temperature modification factor and (Se)450° if (a) The room-temperature endurance limit by test
Verified Answer:
(a) First, from Eq. (6–27),
\begin{a...
A 12-in-long strip of steel is 1/8 in thick and 1 in wide, as shown in Fig. 3–28. If the allowable shear stress is 11 500 psi and the shear modulus is 11.5(10^6) psi, find the torque corresponding to the allowable shear stress and the angle of twist, in degrees, (a) using Eq. (3–47)
Verified Answer:
(a) The length of the median line is 1 in. From Eq...
Question: 14.5
A 17-tooth 20° normal pitch-angle helical pinion with a right-hand helix angle of 30° rotates at 1800 rev/min when transmitting 4 hp to a 52-tooth helical gear. The normal diametral pitch is 10 teeth/in, the face width is 1.5 in, and the set has a quality number of 6. The gears are straddle-mounted
Verified Answer:
All of the parameters in this example are the same...
Question: 14.4
A 17-tooth 20° pressure angle spur pinion rotates at 1800 rev/min and transmits 4 hp to a 52-tooth disk gear. The diametral pitch is 10 teeth/in, the face width 1.5 in, and the quality standard is No. 6. The gears are straddle-mounted with bearings immediately adjacent. The pinion is a grade 1
Verified Answer:
There will be many terms to obtain so use Figs. 14...
Question: 13.10
A 2-tooth right-hand worm transmits 1 hp at 1200 rev/min to a 30-tooth worm gear. The gear has a transverse diametral pitch of 6 teeth/in and a face width of 1 in. The worm has a pitch diameter of 2 in and a face width of 2 1/2 in. The normal pressure angle is 14 1/2°. The materials and quality of
Verified Answer:
(a) The axial pitch is the same as the transverse ...
A 25-mm-diameter shaft is statically torqued to 230 N . m. It is made of cast 195-T6 aluminum, with a yield strength in tension of 160 MPa and a yield strength in compression of 170 MPa. It is machined to final diameter. Estimate the factor of safety of the shaft.
Verified Answer:
The maximum shear stress is given by [latex...
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