Explanation Write the expression of tangential stress. σ t = ρ ω 2 ( 3 + v 8 ) [ r i 2 + r o 2 + r i 2 r o 2 r 2 − 1 − 3 v 3 + v r 2 ] (I) Here, the mass density is ρ , the angular velocity of ring is ω , the inner radius of the ring is r i , the outer radius of ring is r o , the arbitrary radius is r , the constant is v and the tangential stress is σ t . Write the expression for maximum tangential stress. r = r i (II) From Equation (I) and Equation (II), we get σ t = ρ ω 2 ( 3 + v 8 ) [ r i 2 + r o 2 + r i 2 r o 2 r i 2 − 1 − 3 v 3 + v r i 2 ] = ρ ω 2 ( 3 + v 8 ) [ 2 r o 2 + r i 2 − 1 − 3 v 3 + v r i 2 ] (IV) Write the expression of angular velocity of ring. σ t = S u t ρ ω 2 ( 3 + v 8 ) [ 2 r o 2 + r i 2 − 1 − 3 v 3 + v r i 2 ] = S u t ω = ( S u t ρ ω 2 ( 3 + v 8 ) [ 2 r o 2 + r i 2 − 1 − 3 v 3 + v r i 2 ] ) 1 2 (V) Here, the ultimate strength of grade 30 cast iron is S u t . Write the expression for speed of ring in rev / min . N = 60 ω 2 π (VI) Here, the speed of the ring in rev / min is N

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

See similar textbooks

Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft …

Question

Chapter 5, Problem 62P

To determine

The speed in revolutions per minute that would cause the ring to yield.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5, Problem 61P

Chapter 5, Problem 63P

Students have asked these similar questions

Continuity equation A y x dx D T معادلة الاستمرارية Ly X Q/Prove that ди хе + ♥+ ㅇ? he me ze ོ༞“༠ ?

Q Derive (continuity equation)? I want to derive clear mathematics.

motor supplies 200 kW at 6 Hz to flange A of the shaft shown in Figure. Gear B transfers 125 W of power to operating machinery in the factory, and the remaining power in the shaft is mansferred by gear D. Shafts (1) and (2) are solid aluminum (G = 28 GPa) shafts that have the same diameter and an allowable shear stress of t= 40 MPa. Shaft (3) is a solid steel (G = 80 GPa) shaft with an allowable shear stress of t = 55 MPa. Determine: a) the minimum permissible diameter for aluminum shafts (1) and (2) b) the minimum permissible diameter for steel shaft (3). c) the rotation angle of gear D with respect to flange A if the shafts have the minimum permissible diameters as determined in (a) and (b).

Chapter 5 Solutions

Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)

Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - A ductile hot-rolled steel bar has a minimum yield...Ch. 5 - Prob. 6P Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...Ch. 5 - 5-7 to 5-11 An AISI 1018 steel has a yield...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The speed in revolutions per minute that would cause the ring to yield.

Solution Summary: The author calculates the speed in revolutions per minute that would cause the ring to yield. Write the expression for maximum tangential stress.

Concept explainers

The speed in revolutions per minute that would cause the ring to yield.

Want to see the full answer?

Chapter 5 Solutions