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.
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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images

Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY