2 pts) The rigid L-shaped bar show below is supported by pin at A, steel rod at L, and titanium rod at C. Determine the force in the rods when the 2 k/ft distributed load is applied on arm CA. Determine the reaction at support A. Also, determine the strains in the steel and titanium rods. Show the free body diagrams. Show all calculations. See attached Material Properties Table for required parameters in your calculation. Rod: Steel A-36 Diameter = 3/4" L = 5 ft Rigid 2 kip/ft 8 ft Rigid ↓↓↓ Rod: Titanium Alloy Diameter = 3/4" L = 4 ft L 5 ft A
2 pts) The rigid L-shaped bar show below is supported by pin at A, steel rod at L, and titanium rod at C. Determine the force in the rods when the 2 k/ft distributed load is applied on arm CA. Determine the reaction at support A. Also, determine the strains in the steel and titanium rods. Show the free body diagrams. Show all calculations. See attached Material Properties Table for required parameters in your calculation. Rod: Steel A-36 Diameter = 3/4" L = 5 ft Rigid 2 kip/ft 8 ft Rigid ↓↓↓ Rod: Titanium Alloy Diameter = 3/4" L = 4 ft L 5 ft A
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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Transcribed Image Text:## Problem 2 (30 pts)
The rigid L-shaped bar shown below is supported by a pin at A, a steel rod at L, and a titanium rod at C. Determine the force in the rods when a 2 kip/ft distributed load is applied on arm CA. Determine the reaction at support A. Also, determine the strains in the steel and titanium rods. Show the free body diagrams. Show all calculations. See attached Material Properties Table for required parameters in your calculation.
### Diagram Explanation:
The diagram shows an L-shaped bar that is rigid and has supports at specific locations:
1. **Pin Support at A:** The bottom-left corner of the L-shaped bar is pinned at point A, providing both vertical and horizontal reaction components.
2. **Steel Rod at L:** A steel rod, denoted as Rod L, with a diameter of 3/4" and a length of 5 ft, is attached horizontally from a fixed support to the L-shaped bar at the top-right.
3. **Titanium Rod at C:** A titanium alloy rod, denoted as Rod C, with a diameter of 3/4" and a length of 4 ft, is positioned vertically and supports the bar at point C, which is 8 ft to the right of A.
### Applied Load:
A uniformly distributed load of 2 kip/ft is applied along the horizontal section CA, which is 8 ft long.
### Key Dimensions:
- Length of horizontal section CA = 8 ft
- Length of vertical section A to Rod L = 5 ft
### Task Requirements:
1. **Force in the Rods:** Calculate the forces in the steel rod (L) and the titanium rod (C) due to the applied load.
2. **Reaction at Support A:** Determine the reaction forces at the pin support A.
3. **Strains in the Rods:** Calculate the strains in the steel and titanium rods using the given material properties.
This problem requires using principles of static equilibrium, material mechanics, and properties from the supplied materials table to complete the calculations and derive the desired forces, reaction components, and strains.
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