Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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**Mechanical Engineering Flange Design**

**Given Data:**

- Coupling is made of 4340-HT steel.
  - Elastic Modulus (\(E\)) = 205 GPa
  - Shear Modulus (\(G\)) = 80 GPa
  - Yield Strength (\(\sigma_y\)) = 470 MPa
  - Ultimate Strength (\(\sigma_u\)) = 745 MPa
  - Poisson's Ratio (\(\nu\)) = 0.28

**Specifications:**

- Diameter of bolt hole (\(d\)) = 1 cm
- Bolt pattern diameter (\(D\)) = 19.62 cm
- Outside diameter of flange (\(OD\)) = 25 cm
- Applied torque (\(T\)) = \(4.00 \times 10^4\) N-m

**Objective:**

Determine the thickness (\(t\)) of the flange such that the maximum bearing, shear, and normal stresses do not exceed allowable limits.

**Diagram Explanation:**

The diagram shows a mechanical coupling featuring a flange with a bolt pattern. The flange has circular holes for bolts and a central axis indicated by \(G\). Key dimensions are:
- \(t\): thickness of the flange
- \(d\): diameter of the bolt holes
- \(D\): bolt pattern diameter
- \(OD\): outside diameter of the flange

The torque (\(T\)) is applied at the central hub of the flange. The image illustrates the relationship between these key dimensions, which are critical for calculating stress distribution in mechanical connections.
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Transcribed Image Text:**Mechanical Engineering Flange Design** **Given Data:** - Coupling is made of 4340-HT steel. - Elastic Modulus (\(E\)) = 205 GPa - Shear Modulus (\(G\)) = 80 GPa - Yield Strength (\(\sigma_y\)) = 470 MPa - Ultimate Strength (\(\sigma_u\)) = 745 MPa - Poisson's Ratio (\(\nu\)) = 0.28 **Specifications:** - Diameter of bolt hole (\(d\)) = 1 cm - Bolt pattern diameter (\(D\)) = 19.62 cm - Outside diameter of flange (\(OD\)) = 25 cm - Applied torque (\(T\)) = \(4.00 \times 10^4\) N-m **Objective:** Determine the thickness (\(t\)) of the flange such that the maximum bearing, shear, and normal stresses do not exceed allowable limits. **Diagram Explanation:** The diagram shows a mechanical coupling featuring a flange with a bolt pattern. The flange has circular holes for bolts and a central axis indicated by \(G\). Key dimensions are: - \(t\): thickness of the flange - \(d\): diameter of the bolt holes - \(D\): bolt pattern diameter - \(OD\): outside diameter of the flange The torque (\(T\)) is applied at the central hub of the flange. The image illustrates the relationship between these key dimensions, which are critical for calculating stress distribution in mechanical connections.
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