Structural Metals Supply, Inc. has recently been contracted to design a beam for an overhead crane system. I would like you to conduct tests and provide verification of the beam deflection equations published in many textbooks and then use these equations to design a simply-supported steel or aluminum beam with a rectangular cross section to span 30 feet. The beam will support two equal crane loads of 10,000 pounds at 10 and 20 feet. The maximum beam deflection should be less than L/360. Please provide the least expensive solution using current commodity prices for steel ($1.03/lb) and aluminum ($1.12/lb). To ensure stability of the beam, the maximum height to width ratio of the cross section should be h/b = 2.0. Please use a factor of safety of 1.5 against yielding and use published values for yield strength and modulus of elasticity. Please provide the width (b) and height (h) of your recommended beam to the nearest half inch. Also, consider the self-weight of the beam in your design.
Structural Metals Supply, Inc. has recently been contracted to design a beam for an overhead crane system. I would like you to conduct tests and provide verification of the beam deflection equations published in many textbooks and then use these equations to design a simply-supported steel or aluminum beam with a rectangular cross section to span 30 feet. The beam will support two equal crane loads of 10,000 pounds at 10 and 20 feet. The maximum beam deflection should be less than L/360. Please provide the least expensive solution using current commodity prices for steel ($1.03/lb) and aluminum ($1.12/lb). To ensure stability of the beam, the maximum height to width ratio of the cross section should be h/b = 2.0. Please use a factor of safety of 1.5 against yielding and use published values for yield strength and modulus of elasticity. Please provide the width (b) and height (h) of your recommended beam to the nearest half inch. Also, consider the self-weight of the beam in your design.
Construction Materials, Methods and Techniques (MindTap Course List)
4th Edition
ISBN:9781305086272
Author:William P. Spence, Eva Kultermann
Publisher:William P. Spence, Eva Kultermann
Chapter15: Ferrous Metals
Section: Chapter Questions
Problem 11RQ
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value for modulus of elasticty for steel is 29000 ksi and for aluminum it is 10000ksi. yield strength for steel is 36 ksi and yield strength for aluminum is 37 ksi
Transcribed Image Text:**Design and Verification of an Overhead Crane Beam**
*Overview:*
Structural Metals Supply, Inc. has recently been contracted to design a beam for an overhead crane system. The following tasks and guidelines are provided for this design project:
1. **Verification of Deflection Equations**:
- Conduct tests and provide verification of the beam deflection equations as published in standard textbooks.
2. **Beam Design**:
- Use the verified equations to design a simply-supported beam of steel or aluminum with a rectangular cross section spanning a length of 30 feet.
3. **Load Requirements**:
- The beam must support two equal crane loads, each weighing 10,000 pounds, positioned at distances of 10 and 20 feet from one end of the beam.
4. **Deflection Constraints**:
- The maximum beam deflection must not exceed L/360, where L is the span of the beam.
5. **Material and Cost Considerations**:
- Use current commodity prices to determine the most cost-effective solution:
- Steel: $1.03 per pound
- Aluminum: $1.12 per pound
6. **Beam Dimensions and Stability**:
- To ensure stability, maintain a maximum height-to-width ratio (h/b) of the cross section at 2.0.
- Apply a safety factor of 1.5 against yielding.
- Use published values for yield strength and modulus of elasticity for material selection.
- Provide the width (b) and height (h) of the beam, rounded to the nearest half inch.
7. **Self-Weight Consideration**:
- Include the self-weight of the beam in your design calculations.
*Educational Focus*:
This project provides an ideal case study for students to apply theoretical knowledge in structural engineering to a real-world problem. Students will learn about:
- Verifying and applying deflection equations
- Design considerations under specified loads and material constraints
- Economic impact on material selection
- Practical application and safety considerations in beam design
- Real-world implications of theoretical calculations
By working through this project, students can strengthen their understanding of both fundamental concepts and complex design criteria in structural engineering.
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