Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 4.4, Problem 14P
Three uniform books, each having a weight W and length a, are stacked as shown. Determine the maximum distance d that the top book can extend out from the bottom one so the stack does not topple over.
Prob. 4-14
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The gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle.
The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear
5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft?
TS
I
y
18T
32T
This
a
12
x
18T
C
48T
5
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
Chapter 4 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 4.4 - Draw the free-body diagram of each object. Prob....Ch. 4.4 - Determine the horizontal and vertical components...Ch. 4.4 - Determine the horizontal and vertical components...Ch. 4.4 - The truss is supported by a pin at A and a roller...Ch. 4.4 - Determine the components of reaction at the fixed...Ch. 4.4 - The 25-kg bar has a center of mass at G. If it is...Ch. 4.4 - Determine the reactions at the smooth contact...Ch. 4.4 - Determine the components of the support reactions...Ch. 4.4 - Determine the reactions at the supports. Prob. 4-2Ch. 4.4 - Determine the horizontal and vertical components...
Ch. 4.4 - Determine the reactions at the supports. Prob. 4-4Ch. 4.4 - Determine the reactions at the supports. Prob. 4-5Ch. 4.4 - Determine the reactions at the supports. Prob. 4-6Ch. 4.4 - Determine the magnitude of force at the pin A and...Ch. 4.4 - The dimensions of a jib crane are given in the...Ch. 4.4 - The dimensions of a jib crane are given in the...Ch. 4.4 - The smooth pipe rests against the opening at the...Ch. 4.4 - The beam is horizontal and the springs are...Ch. 4.4 - The 10-kg uniform rod is pinned at end A. If it is...Ch. 4.4 - The man uses the hand truck to move material up...Ch. 4.4 - Three uniform books, each having a weight W and...Ch. 4.4 - Determine the reactions at the pin A and the...Ch. 4.4 - If rope BC will fail when the tension becomes 50...Ch. 4.4 - Prob. 17PCh. 4.4 - Prob. 18PCh. 4.4 - The cantilever footing is used to support a wall...Ch. 4.4 - Prob. 20PCh. 4.4 - A boy stands out at the end of the diving board,...Ch. 4.4 - Prob. 22PCh. 4.4 - Prob. 23PCh. 4.4 - Prob. 24PCh. 4.4 - Prob. 25PCh. 4.4 - The man attempts to pull the four wheeler up the...Ch. 4.6 - Draw the free-body diagram of each object.Ch. 4.6 - In each case, write the moment equations about the...Ch. 4.6 - Prob. 7FPCh. 4.6 - Prob. 8FPCh. 4.6 - The rod is supported by smooth journal bearings at...Ch. 4.6 - Determine the support reactions at the smooth...Ch. 4.6 - Determine the force developed in the short link...Ch. 4.6 - Determine the components of reaction that the...Ch. 4.6 - The uniform load has a mass of 600 kg and is...Ch. 4.6 - Due to an unequal distribution of fuel in the wing...Ch. 4.6 - Determine the components of reaction at the fixed...Ch. 4.6 - The 50-lb mulching machine has a center of gravity...Ch. 4.6 - Prob. 30PCh. 4.6 - The uniform concrete slab has a mass of 2400 kg....Ch. 4.6 - Prob. 32PCh. 4.6 - Determine the tension in each cable and the...Ch. 4.6 - The bent rod is supported at A, B, and C by smooth...Ch. 4.6 - Prob. 35PCh. 4.6 - The bar AB is supported by two smooth collars. At...Ch. 4.6 - The rod has a weight of 6 lb/ft. If it is...Ch. 4.6 - The sign has a mass of 100 kg with center of mass...Ch. 4.6 - Both pulleys cite fixed to the shaft and as the...Ch. 4.6 - Both pulleys are fixed to the shaft and as the...Ch. 4.6 - Prob. 41PCh. 4.8 - Determine the friction force at the surface of...Ch. 4.8 - Determine the couple moment M needed to cause...Ch. 4.8 - Prob. 6PPCh. 4.8 - Prob. 7PPCh. 4.8 - Prob. 13FPCh. 4.8 - Determine the minimum force P to prevent the 30-kg...Ch. 4.8 - Determine the maximum force P that can be applied...Ch. 4.8 - Prob. 16FPCh. 4.8 - Prob. 17FPCh. 4.8 - Prob. 18FPCh. 4.8 - Prob. 19FPCh. 4.8 - If the coefficient of static friction at all...Ch. 4.8 - Prob. 21FPCh. 4.8 - Prob. 42PCh. 4.8 - The tractor exerts a towing force T = 400 lb....Ch. 4.8 - The mine car and its contents have a total mass of...Ch. 4.8 - The winch on the truck is used to hoist the...Ch. 4.8 - Prob. 46PCh. 4.8 - The automobile has a mass of 2 Mg and center of...Ch. 4.8 - Prob. 48PCh. 4.8 - Prob. 49PCh. 4.8 - Prob. 50PCh. 4.8 - Determine the angle at which the applied force P...Ch. 4.8 - Prob. 52PCh. 4.8 - The 180-lb man climbs up the ladder and stops at...Ch. 4.8 - The 180-lb man climbs up the ladder and stops at...Ch. 4.8 - The spool of wire having a weight of 300 lb rests...Ch. 4.8 - The spool of wire having a weight of 300 lb rests...Ch. 4.8 - The ring has a mass of 0.5 kg and is resting on...Ch. 4.8 - Determine the smallest force P that must be...Ch. 4.8 - The man having a weight of 200 lb pushes...Ch. 4.8 - The uniform hoop of weight W is subjected to the...Ch. 4.8 - Prob. 61PCh. 4.8 - Prob. 62PCh. 4.8 - Prob. 63PCh. 4.8 - The coefficient of static Friction between the...Ch. 4 - If the roller at B can sustain a maximum load of 3...Ch. 4 - Determine the reactions at the supports A and B...Ch. 4 - Determine the normal reaction at the roller A and...Ch. 4 - Determine the horizontal and vertical components...Ch. 4 - Determine the x, y, z components of reaction at...Ch. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - The uniform 60-kg crate C rests uniformly on a...
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