The cross section of the composite beam shown is constructed of a rectangu- lar section of brass bonded to a half-round section of steel. Let E, = 30 Mpsi 15 Mpsi for the brass. Determine (a) the maximum ten- for the steel and Eb sile and compressive bending stresses in the brass and steel, respectively, and = (b) the deflection of the free end of the beam. Solve this problem two ways. First, let the equivalent section be of steel. Second, let the equivalent section be of brass. 200 lb/in 20 Brass Steel 3.0 2.0
The cross section of the composite beam shown is constructed of a rectangu- lar section of brass bonded to a half-round section of steel. Let E, = 30 Mpsi 15 Mpsi for the brass. Determine (a) the maximum ten- for the steel and Eb sile and compressive bending stresses in the brass and steel, respectively, and = (b) the deflection of the free end of the beam. Solve this problem two ways. First, let the equivalent section be of steel. Second, let the equivalent section be of brass. 200 lb/in 20 Brass Steel 3.0 2.0
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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
Transcribed Image Text:The text describes a composite beam made of a rectangular section of brass bonded to a half-round section of steel. The problem involves determining the following:
(a) The maximum tensile and compressive bending stresses in the brass and steel.
(b) The deflection of the free end of the beam.
Given:
- Modulus of Elasticity for steel, \( E_s = 30 \, \text{Mpsi} \)
- Modulus of Elasticity for brass, \( E_b = 15 \, \text{Mpsi} \)
A method of solution is suggested: first, let the equivalent section be of steel, and second, of brass.
### Diagram Details
1. **Load Diagram:**
- Uniformly distributed load: \( 200 \, \text{lb/in} \)
- Span length: 20 inches
2. **Beam Cross-section:**
- The top portion is brass with a width of 3.0 units.
- The bottom portion is a half-round steel section with a vertical thickness of 2.0 units.
This setup can be utilized to study material behavior under loading and understand composite material stress analysis.
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