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 Details1. **Load Diagram:** - Uniformly distributed load: \( 200 \, \text{lb/in} \) - Span length: 20 inches2. **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.

The modulus of elasticity for brass is .The modulus of elasticity for steel is .Calculation:a) Let the equivalent section be brass:The location from the top can be obtained as:The moment of inertia can be obtained as:The maximum moment can be obtained as:The maximum tensile stress can be obtained as:The compressive stress can be obtained as:b) The deflection of the free end of the beam can be obtained as:a) The tensile stress is and the compressive stress is .b) The deflection of the free end of the beam is .

Engineering

Mechanical Engineering

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

Problem 1.1MA

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