A pair of cast iron bevel gears connects the two shafts at right angles. The pitch diameters of the pinion and gear are 80 mm and 100 mm. The shape of the gear teeth is 14½0 composite form. The allowable static stress for both gears is 55 MPa. If the pinion transmits 2.95 kW of power at 1200 rpm, determine the module and the number of teeth in each gear from the power point of view and check the design from the wear point of view. Take the surface resistance limit is 630 MPa and the modulus of elasticity for cast iron is 84 kN/mm2.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Title: Analyzing Cast Iron Bevel Gears in Mechanical Engineering**

In this study on mechanical engineering, we examine the characteristics and calculations related to a pair of cast iron bevel gears, which connect two shafts at right angles.

**Gear Specifications:**
- **Pitch Diameters:**
  - Pinion: 80 mm
  - Gear: 100 mm
- **Gear Tooth Shape:** 14½° composite form
- **Allowable Static Stress:** 55 MPa

**Performance Parameters:**
- **Power Transmission by Pinion:** 2.95 kW at 1200 rpm

**Objectives:**
1. **Determine:**
   - The module
   - The number of teeth in each gear, focusing on power efficiency
2. **Design Validation:**
   - Analyze from the wear perspective using:
     - **Surface Resistance Limit:** 630 MPa
     - **Modulus of Elasticity for Cast Iron:** 84 kN/mm²

By integrating these calculations, engineers can ascertain the optimal module and tooth count for achieving efficient power transmission and ensure design durability against wear.
Transcribed Image Text:**Title: Analyzing Cast Iron Bevel Gears in Mechanical Engineering** In this study on mechanical engineering, we examine the characteristics and calculations related to a pair of cast iron bevel gears, which connect two shafts at right angles. **Gear Specifications:** - **Pitch Diameters:** - Pinion: 80 mm - Gear: 100 mm - **Gear Tooth Shape:** 14½° composite form - **Allowable Static Stress:** 55 MPa **Performance Parameters:** - **Power Transmission by Pinion:** 2.95 kW at 1200 rpm **Objectives:** 1. **Determine:** - The module - The number of teeth in each gear, focusing on power efficiency 2. **Design Validation:** - Analyze from the wear perspective using: - **Surface Resistance Limit:** 630 MPa - **Modulus of Elasticity for Cast Iron:** 84 kN/mm² By integrating these calculations, engineers can ascertain the optimal module and tooth count for achieving efficient power transmission and ensure design durability against wear.
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