Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
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Chapter 7, Problem 26P
To determine
The design the shaft and specify the parameter of the shaft.
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Figure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by
the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F =499 y a radial
load F = 741 N and a tangential load of F=2,006 N. Assume the component is operating at room temperature of 70°F and the
material has 50% reliability factor.
25-mm solid
Bending K, = 2.0
round shaft Fillet Torsional K = 1.5
F.
F,
Axial K, = 1.8
F
Pump
Helical
spur gear
50 mm
-250-mm dia.-
FIGURE
1. Identify the critical location(s) of stress and show it clearly in a diagram.
2. Identify cleary, all the components of stresses (at the critical point) that will be calculated (by drawing and clearly showing
the XYZ axes) and show it in a matrix form. Show which components of stresses will have a value zero or non-zero.
3. Calculate the principal stresses and principal directions. Show the principal stresses clearly in a stress element…
The figure below shows a boat propeller mounted on a drive shaft with a 7 mm diameter (d) cylindrical drive pin inserted through the hub
and the shaft. The drive shaft diameter, D, inside the hub is 69 mm. The pin is made from AISI 1020 cold rolled steel, which has a yield stress
of 427 MPa and an ultimate stress of 621 MPa. If the drive pin is subjected to an overload (e.g. strikes a log), calculate the torque (Nm)
required to shear the pin.
Note: Assume that the max shear stress of the pin material is approximately equal 82% of the ultimate tensile stress.
Do not include units in your answer.
Pin
F
Hub
Drive
pin
Shaft
Drive
shaft
F
Shear
planes
Hub
Answer:
Figure below shows a portion of a pump that is gear-driven at uniform load and speed. The 25 mm diameter solod shaft supported by the bearings is to be made of machined AISI 1045 CD steel. The helical gear is subjected to the axial force F-498 y a radial load F- 750 N and a tangential load of F-1.995 N. Assume the component is
g at room temperature of 70F and the material has s0s reliability factor.
Hint: Be careful when you calculate the bending moment at the fillet, as all the three forces on the helical gear cause bending moment at the fillet. Calculate resultant bedina moment from all the three forces. Bending moment is completely reversed loading.)
25-mm solid
round shaft Fillet
Bending K, = 2.0
Torsional k, = 1.5
Axial K,18
F.
F,
F
Pump
Helical
spur gear
-50 mm
-250-mm dia
FIGURE
1. Identify the critical locations) of stress and show it clearly in a diagram.
2 Identity cleary, all the components of stresses (at the critical point) that will be calcurated (by drawing and clearty…
Chapter 7 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 7 - A shaft is loaded in bending and torsion such that...Ch. 7 - The section of shaft shown in the figure is to be...Ch. 7 - The rotating solid steel shaft is simply supported...Ch. 7 - A geared industrial roll shown in the figure is...Ch. 7 - Design a shaft for the situation of the industrial...Ch. 7 - The figure shows a proposed design for the...Ch. 7 - For the problem specified in the table, build upon...Ch. 7 - Prob. 8PCh. 7 - For the problem specified in the table, build upon...Ch. 7 - For the problem specified in the table, build upon...
Ch. 7 - In the figure is a proposed shaft design to be...Ch. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 20PCh. 7 - The shaft shown in the figure is proposed for the...Ch. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - A 25-mm-diameter uniform steel shaft is 600 mm...Ch. 7 - Prob. 29PCh. 7 - Compare Eq. (727) for the angular frequency of a...Ch. 7 - Prob. 31PCh. 7 - The steel shaft shown in the figure carries a...Ch. 7 - A transverse drilled and reamed hole can be used...Ch. 7 - Prob. 34PCh. 7 - The shaft shown in Prob. 721 is proposed for the...Ch. 7 - A guide pin is required to align the assembly of a...Ch. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - A ball bearing has been selected with the bore...Ch. 7 - Prob. 41PCh. 7 - A gear and shaft with nominal diameter of 35 mm...
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