PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 5, Problem 85P
To determine
The x, y, and z components of reaction at the ball-and-socket joint A and the tension in wires BC and BD.
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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
3
N2=28
P(diametral pitch)=8 for all gears
Coupled to 25 hp motor
N3=34
Full depth spur gears with pressure angle=20°
N₂=2000 rpm
(1) Compute the circular pitch, the center-to-center distance, and base circle radii.
(2) Draw the free body diagram of gear 3 and show all the forces and the torque.
(3) In mounting gears, the center-to-center distance was reduced by 0.1 inch.
Calculate the new values of center-to-center distance, pressure angle, base circle radii,
and pitch circle diameters.
(4)What is the new tangential and radial forces for gear 3?
(5) Under the new center to center distance, is the contact ratio (mc) increasing or
decreasing?
2. A flat belt drive consists of two 4-ft diameter cast-iron pulleys spaced 16 ft apart.
A power of 60 hp is transmitted by a pulley whose speed is 380 rev/min. Use a
service factor (Ks) pf 1.1 and a design factor 1.0. The width of the polyamide A-3
belt is 6 in. Use CD=1. Answer the following questions.
(1) What is the total length of the belt according to the given geometry?
(2) Find the centrifugal force (Fc) applied to the belt.
(3) What is the transmitted torque through the pulley system given 60hp?
(4) Using the allowable tension, find the force (F₁) on the tight side. What is the
tension at the loose side (F2) and the initial tension (F.)?
(5) Using the forces, estimate the developed friction coefficient (f)
(6) Based on the forces and the given rotational speed, rate the pulley set. In other
words, what is the horse power that can be transmitted by the pulley system?
(7) To reduce the applied tension on the tight side, the friction coefficient is
increased to 0.75. Find out the…
Chapter 5 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - The truss is supported by a pin at A and a roller...Ch. 5 - Prob. 4FPCh. 5 - The 25 kg bar has a center of mass at G. If it is...Ch. 5 - Prob. 6FPCh. 5 - Determine the reactions at the supports. Prob....Ch. 5 - Determine the horizontal and vertical components...Ch. 5 - Determine the reactions at the supports. Prob....Ch. 5 - A uniform glass rod having a length L is placed in...
Ch. 5 - If the intensity of the distributed load acting on...Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 27PCh. 5 - Prob. 30PCh. 5 - Prob. 35PCh. 5 - The cantilevered jib crane is used to support the...Ch. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Determine the stiffness k of each spring so that...Ch. 5 - The boom supports the two vertical loads. Neglect...Ch. 5 - Prob. 43PCh. 5 - The 10-kg uniform rod is pinned at end A. If It is...Ch. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 53PCh. 5 - The uniform rod has a length I and weight W. It is...Ch. 5 - Prob. 7FPCh. 5 - Prob. 8FPCh. 5 - Prob. 9FPCh. 5 - Determine the support reactions at the smooth...Ch. 5 - Prob. 11FPCh. 5 - Determine the components of reaction that the...Ch. 5 - The uniform loads has a mass of 600 kg and is...Ch. 5 - The 100-lb door has its center of gravity at G....Ch. 5 - Determine me tension in each cable and the...Ch. 5 - The bent rod is supported at A, B, and C by smooth...Ch. 5 - The bent rod is supported at A, B, and C by smooth...Ch. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 80PCh. 5 - Prob. 82PCh. 5 - The bar AB is supported by two smooth collars. At...Ch. 5 - Prob. 84PCh. 5 - Prob. 85PCh. 5 - Prob. 86PCh. 5 - Both pulleys are fixed to the shaft and as the...Ch. 5 - Member AB is supported by a cable BC and at A by a...Ch. 5 - Prob. 2RPCh. 5 - Prob. 4RP
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- The tooth numbers for the gear train illustrated are N₂ = 24, N3 = 18, №4 = 30, №6 = 36, and N₁ = 54. Gear 7 is fixed. If shaft b is turned through 5 revolutions, how many turns will shaft a make? a 5 [6] barrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forward
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