Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Textbook Question
Chapter 13, Problem 13.18P
For the beams shown (next page), draw complete shear and moment diagrams.
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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 13 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 13 - through 13.6 Calculate the reactions at points A...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - through 13.6 Calculate the reactions at points A...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - Calculate the shear and bending moment at 4 m and...Ch. 13 - Calculate the shear and bending moment at 3 ft and...Ch. 13 - Calculate the shear and bending moment at midspan...Ch. 13 - Calculate the shear and bending moment at 5 ft and...
Ch. 13 - Calculate the shear and bending moment at 5 m and...Ch. 13 - For the beams shown, draw complete shear diagrams.Ch. 13 - For the beams shown, draw complete shear diagrams.Ch. 13 - Prob. 13.14PCh. 13 - For the beams shown, draw complete shear diagrams.Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown (next page), draw complete...Ch. 13 - For the beams shown, draw complete shear and...Ch. 13 - For the beams shown, draw complete shear and...Ch. 13 - For the beams shown, draw complete shear and...Ch. 13 - A moving-load system is composed of two...Ch. 13 - A moving-load system is composed of two...Ch. 13 - One of the standard truck loads used in the design...Ch. 13 - Write a computer program that will calculate the...Ch. 13 - Write a program that will calculate the shear and...Ch. 13 - Viking Consultants wishes to generate a table of...Ch. 13 - Calculate the reactions for the simple beams...Ch. 13 - Calculate the reactions for the overhanging beams...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - Calculate the reactions at points A and B for the...Ch. 13 - For the beams of Problem 13.33, calculate the...Ch. 13 - For the beam shown, calculate the shear and...Ch. 13 - Calculate the shear and bending moment at points 4...Ch. 13 - Calculate the shear arid bending moment at points...Ch. 13 - Calculate the shear and bending moment at points...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the beam shown and draw complete shear...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - Refer to the indicated problem and draw complete...Ch. 13 - A two-axle roller with axles 5 m apart passes over...Ch. 13 - A moving load system with wheels at fixed...Ch. 13 - A moving-load system with wheels spaced as shown...
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