Vector Mechanics for Engineers: Statics and Dynamics
12th Edition
ISBN: 9781259977251
Author: BEER
Publisher: MCG
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Textbook Question
Chapter 7.1, Problem 7.5P
Determine the internal forces at point J when α = 90°.
Fig. P7.5 and P7.6
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Students have asked these similar questions
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 7 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 7.1 - 7.1 and 7.2 Determine the internal forces (axial...Ch. 7.1 - 7.1 and 7.2 Determine the internal forces (axial...Ch. 7.1 - Determine the internal forces at point J when =...Ch. 7.1 - Fig. P7.3 and P7.4 7.4 Determine the internal...Ch. 7.1 - Determine the internal forces at point J when =...Ch. 7.1 - Fig. P7.5 and P7.6 7.6 Determine the internal...Ch. 7.1 - An archer aiming at a target is pulling with a...Ch. 7.1 - For the bow of Prob. 7.7, determine the magnitude...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - A semicircular rod is loaded as shown. Determine...
Ch. 7.1 - A semicircular rod is loaded as shown. Determine...Ch. 7.1 - Fig. P7.11 and P7.12 7.12 A semicircular rod is...Ch. 7.1 - The axis of the curved member AB is a parabola...Ch. 7.1 - Knowing that the axis of the curved member AB is a...Ch. 7.1 - Prob. 7.15PCh. 7.1 - Fig. P7.15 and P7.16 7.16 Knowing that the radius...Ch. 7.1 - Prob. 7.17PCh. 7.1 - For the frame of Prob. 7.17, determine the...Ch. 7.1 - Knowing that the radius of each pulley is 200 mm...Ch. 7.1 - Fig. P7.19 and P7.20 7.20 Knowing that the radius...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - and 7.22 A force P is applied to a bent rod that...Ch. 7.1 - Prob. 7.23PCh. 7.1 - For the rod of Prob. 7.23, determine the magnitude...Ch. 7.1 - A semicircular rod of weight W and uniform cross...Ch. 7.1 - Prob. 7.26PCh. 7.1 - Prob. 7.27PCh. 7.1 - 7.27 and 7.28 A half section of pipe rests on a...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - Prob. 7.31PCh. 7.2 - 7.29 through 7.32 For the beam and loading shown,...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.33 and 7.34 For the beam and loading shown, (a)...Ch. 7.2 - 7.35 and 7.36 For the beam and loading shown, (a)...Ch. 7.2 - Prob. 7.36PCh. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - 7.37 and 7.38 For the beam and loading shown, (a)...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - Prob. 7.41PCh. 7.2 - For the beam and loading shown, (a) draw the shear...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Solve Problem 7.43 knowing that P = 3wa. PROBLEM...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Prob. 7.46PCh. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Assuming the upward reaction of the ground on beam...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Draw the shear and bending-moment diagrams for the...Ch. 7.2 - Two small channel sections DF and EH have been...Ch. 7.2 - Solve Prob. 7.53 when = 60. PROBLEM 7.53 Two...Ch. 7.2 - For the structural member of Prob. 7.53, determine...Ch. 7.2 - For the beam of Prob. 7.43, determine (a) the...Ch. 7.2 - Determine (a) the distance a for which the maximum...Ch. 7.2 - For the beam and loading shown, determine (a) the...Ch. 7.2 - A uniform beam is to be picked up by crane cables...Ch. 7.2 - Knowing that P = Q = 150 lb, determine (a) the...Ch. 7.2 - Prob. 7.61PCh. 7.2 - Prob. 7.62PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.29....Ch. 7.3 - Prob. 7.64PCh. 7.3 - Prob. 7.65PCh. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.32....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.33....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.34....Ch. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - 7.69 and 7.70 For the beam and loading shown, (a)...Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.39....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.40....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.41....Ch. 7.3 - Using the method of Sec. 7.3, solve Prob. 7.42....Ch. 7.3 - 7.75 and 7.76 For the beam and loading shown, (a)...Ch. 7.3 - Prob. 7.76PCh. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - For the beam and loading shown, (a) draw the shear...Ch. 7.3 - (a) Draw the shear and bending-moment diagrams for...Ch. 7.3 - Solve Prob. 7.83 assuming that the 300-lb force...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - For the beam and loading shown, (a) write the...Ch. 7.3 - Prob. 7.88PCh. 7.3 - The beam AB supports the uniformly distributed...Ch. 7.3 - Solve Prob. 7.89 assuming that the uniformly...Ch. 7.3 - The beam AB is subjected to the uniformly...Ch. 7.3 - Solve Prob. 7.91 assuming that the uniformly...Ch. 7.4 - Three loads are suspended as shown from the cable...Ch. 7.4 - Knowing that the maximum tension in cable ABCDE is...Ch. 7.4 - Prob. 7.95PCh. 7.4 - Fig. P7.95 and P7.96 7.96 If dA = dc = 6 ft,...Ch. 7.4 - Knowing that dc = 5 m, determine (a) the distances...Ch. 7.4 - Fig. P7.97 and P7.98 7.98 Determine (a) distance...Ch. 7.4 - Knowing that dc = 9 ft, determine (a) the...Ch. 7.4 - Fig. P7.99 and P7.100 7.100 Determine (a) the...Ch. 7.4 - Knowing that mB = 70 kg and mC = 25 kg, determine...Ch. 7.4 - Prob. 7.102PCh. 7.4 - Prob. 7.103PCh. 7.4 - Prob. 7.104PCh. 7.4 - Prob. 7.105PCh. 7.4 - If a = 4 m, determine the magnitudes of P and Q...Ch. 7.4 - An electric wire having a mass per unit length of...Ch. 7.4 - Prob. 7.108PCh. 7.4 - Prob. 7.109PCh. 7.4 - Prob. 7.110PCh. 7.4 - Prob. 7.111PCh. 7.4 - Two cables of the same gauge are attached to a...Ch. 7.4 - Prob. 7.113PCh. 7.4 - Prob. 7.114PCh. 7.4 - Prob. 7.115PCh. 7.4 - Prob. 7.116PCh. 7.4 - Prob. 7.117PCh. 7.4 - Prob. 7.118PCh. 7.4 - Prob. 7.119PCh. 7.4 - Prob. 7.120PCh. 7.4 - Prob. 7.121PCh. 7.4 - Prob. 7.122PCh. 7.4 - Prob. 7.123PCh. 7.4 - Prob. 7.124PCh. 7.4 - Prob. 7.125PCh. 7.4 - Prob. 7.126PCh. 7.5 - A 25-ft chain with a weight of 30 lb is suspended...Ch. 7.5 - A 500-ft-long aerial tramway cable having a weight...Ch. 7.5 - Prob. 7.129PCh. 7.5 - Prob. 7.130PCh. 7.5 - Prob. 7.131PCh. 7.5 - Prob. 7.132PCh. 7.5 - Prob. 7.133PCh. 7.5 - Prob. 7.134PCh. 7.5 - Prob. 7.135PCh. 7.5 - Prob. 7.136PCh. 7.5 - Prob. 7.137PCh. 7.5 - Prob. 7.138PCh. 7.5 - Prob. 7.139PCh. 7.5 - Prob. 7.140PCh. 7.5 - Prob. 7.141PCh. 7.5 - Prob. 7.142PCh. 7.5 - Prob. 7.143PCh. 7.5 - Prob. 7.144PCh. 7.5 - Prob. 7.145PCh. 7.5 - Prob. 7.146PCh. 7.5 - Prob. 7.147PCh. 7.5 - Prob. 7.148PCh. 7.5 - Prob. 7.149PCh. 7.5 - Prob. 7.150PCh. 7.5 - A cable has a mass per unit length of 3 kg/m and...Ch. 7.5 - Prob. 7.152PCh. 7.5 - Prob. 7.153PCh. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Knowing that the turnbuckle has been tightened...Ch. 7 - Two members, each consisting of a straight and a...Ch. 7 - Knowing that the radius of each pulley is 150 mm,...Ch. 7 - Prob. 7.158RPCh. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - For the beam and loading shown, (a) draw the shear...Ch. 7 - Prob. 7.161RPCh. 7 - Prob. 7.162RPCh. 7 - Prob. 7.163RPCh. 7 - Prob. 7.164RPCh. 7 - A 10-ft rope is attached to two supports A and B...
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