ENGR.MECH.:STAT.+DYNAMICS
ENGR.MECH.:STAT.+DYNAMICS
15th Edition
ISBN: 9780134780955
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 8, Problem 73P
To determine

The lead l must be less than 2πrμs for the jack screw to be self locking.

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Question 1. Draw 3 teeth for the following pinion and gear respectively. The teeth should be drawn near the pressure line so that the teeth from the pinion should mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or CAD drawing is acceptable. Draw all the trajectories of the involute lines and the circles. Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch. Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet, c=b-a.
5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces. The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2) is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2. (a) Find the revolution speed of gear 5. (b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue. (c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress). (d) According to the computation results of the questions (b) and (c), explain the possible failure mechanisms for each gear. N4=28 800rpm N₁=43 N5=34 N₂=14 P(diameteral pitch)=8 for all gears Coupled to 2.5hp motor
1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of 20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with Sy=60kpsi and Sut=80 kpsi. (1) Draw a shear force diagram and a bending moment diagram by F. According to your analysis, where is the point of interest to evaluate the safety factor among A, B, C, and D? Describe the reason. (Hint: To find F, the torque Tд is generated by the tangential force of F (i.e. Ftangential-Fcos20°) When n=2.5, K=1.8, and K₁ =1.3, determine the diameter of the shaft based on (2) static analysis using DE theory (note that fatigue stress concentration factors need to be used for this question because the loading condition is fatigue) and (3) a fatigue analysis using modified Goodman. Note) A standard diameter is not required for the questions. 10 in D

Chapter 8 Solutions

ENGR.MECH.:STAT.+DYNAMICS

Ch. 8 - The mine car and its contents have a total mass of...Ch. 8 - Prob. 4PCh. 8 - The automobile has a mass of 2 Mg and center of...Ch. 8 - The automobile has a mass of 2 Mg and canter of...Ch. 8 - Prob. 9PCh. 8 - Determine the angle at which the applied force P...Ch. 8 - Prob. 12PCh. 8 - The car has a mass of 1.6 Mg and center of mass at...Ch. 8 - The log has a coefficient of state friction of, s...Ch. 8 - The spool of wire having a weight of 300 Ib rests...Ch. 8 - The spool of wire having a weight of 300 Ib rests...Ch. 8 - Prob. 20PCh. 8 - The uniform thin pole has a weight of 30 Ib and a...Ch. 8 - The uniform pole has a weight of 30 Ib and a...Ch. 8 - The friction pawl is pinned at A and rests against...Ch. 8 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8 - Determine the smallest force P that must be...Ch. 8 - The man having a weight of 200 Ib pushes...Ch. 8 - The uniform hoop of weight W is subjected to the...Ch. 8 - Determine the maximum horizontal force P that can...Ch. 8 - Determine the minimum force P needed to push the...Ch. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 51PCh. 8 - Prob. 52PCh. 8 - Determine the smallest couple moment that can be...Ch. 8 - If P=250 N, determine the required minimum...Ch. 8 - Determine the minimum applied force P required to...Ch. 8 - Prob. 67PCh. 8 - Prob. 68PCh. 8 - Prob. 71PCh. 8 - Prob. 72PCh. 8 - Prob. 73PCh. 8 - Prob. 74PCh. 8 - Prob. 81PCh. 8 - Determine the horizontal force P that must be...Ch. 8 - A 180-lb farmer tries to restrain the cow from...Ch. 8 - The 100-lb boy at A is suspended from the cable...Ch. 8 - Prob. 87PCh. 8 - Determine the force P that must be applied to the...Ch. 8 - Prob. 93PCh. 8 - Prob. 98PCh. 8 - Prob. 99PCh. 8 - Blocks A and B have a mass of 7 kg and 10 kg,...Ch. 8 - The uniform bar AB is supported by a rope that...Ch. 8 - Prob. 102PCh. 8 - A 10-kg cylinder D, which is attached to a small...Ch. 8 - Prob. 106PCh. 8 - The collar bearing uniformly supports an axial...Ch. 8 - The collar bearing uniformly supports an axial...Ch. 8 - The floor-polishing machine rotates at a constant...Ch. 8 - Prob. 110PCh. 8 - Prob. 111PCh. 8 - Prob. 116PCh. 8 - The collar fits loosely around a fixed shaft that...Ch. 8 - Prob. 119PCh. 8 - Prob. 120PCh. 8 - Solve Prob. 8-120 if the force P is applied...Ch. 8 - Prob. 122PCh. 8 - Prob. 123PCh. 8 - Prob. 125PCh. 8 - The bell crank fits loosely into a 0.5-in-diameter...Ch. 8 - The bell crank fits loosely into a 0.5-in-diameter...Ch. 8 - Prob. 129PCh. 8 - R81. The uniform 20-lb ladder rests on the rough...Ch. 8 - R82. The uniform 60-kg crate C rests uniformly on...Ch. 8 - R83. A 35-kg disk rests on an inclined surface for...Ch. 8 - Prob. 4RPCh. 8 - Prob. 6RPCh. 8 - Prob. 7RPCh. 8 - The hand cart has wheels with a diameter of 80 mm....
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