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Shigley’s mechanical engineering design [EXP-48058]
172 SOLVED PROBLEMS
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Question: 2.6.10
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 106or larger life.
Verified Answer:
We begin with some preliminaries. From Table A–20,...
Question: 3.9.2
A 1/2-in by 2-in rectangular-cross-section 1015 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?(b) Is
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...
Question: 6.8
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 at
Verified Answer:
From Table A–20,
S_{u t}=50
kpsi at...
Question: 2.6.5
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 is (S’-e)70◦= 39.0 kpsi. (b) Only the tensile strength at room temperature is known.
Verified Answer:
(a) First, from Eq. (6–27),
k_d=0.975+0.432...
Question: 1.3.12
A 12-in-long strip of steel is 1/8in 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(106) psi, find the torque corresponding to the allowable shear stress and the angle of twist, in degrees,(a) using Eq. (3–47) and (b) using Eqs. (3–40) and (3–41).
Verified Answer:
(a) The length of the median line is 1 in. From Eq...
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: 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: 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 21/2 in. The normal pressure angle is 141/2 ◦ . The materials and quality of
Verified Answer:
(a) The axial pitch is the same as the transverse ...
Question: 2.5.2
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
\tau ...
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