**Problem 2: Structural Analysis****Description:**For the structure shown below, Beam ABC is a rigid beam weighing 10,000 lbs. The rods DB and CE are assumed to be elastic-perfectly plastic materials.**Given:**- Young’s Modulus, \( E = 30 \times 10^6 \text{ psi} \)- Cross-section area, \( A = 4 \text{ in}^2 \)- Coefficient of thermal expansion, \( \alpha = 6.4 \times 10^{-6} \text{ /°F} \)- Yield Strength, \( \sigma_y = 20,000 \text{ psi} \)**Diagram Explanation:**The diagram illustrates a rigid beam ABC supported by a rod at D and a rod at E. The beam is fixed at point A. - Rod DB is vertical and 2 ft long.- Rod CE is vertical and 2 ft long as well.- The beam spans horizontally: 2 ft from A to B, 4 ft from B to C.- An external force \( P = 20,000 \) lbs is applied vertically downward at point C. **Questions:****A.** What is the force in rod DB if the external force \( P = 20,000 \) lbs is applied?**B.** What is the maximum external load \( P \) that could be applied to the rigid beam before the structure collapses?

Given;Moment of equilibrium at A:On solving equation 1 and 2 we get,problem (A):The force in rod DB is the external forceProblem (B) :Done.

Engineering

Mechanical Engineering

2. For the structure shown below. Beam ABC is a rigid beam of 10000 lbs in weight. Assume that rods DB and CE are elastic-perfectly plastic materials and take Young's Modulus E = 30 x 106 psi, cross-section area A = 4 in², Coefficient of thermal expansion a = 6.4 x106/F, Yield Strength oy = 20,000 psi. 2 ft B 2 ft Eft 2 ft E P A. What is the force in rod DB if the external force P = 20000 lbs is applied?

2. For the structure shown below. Beam ABC is a rigid beam of 10000 lbs in weight. Assume that rods DB and CE are elastic-perfectly plastic materials and take Young's Modulus E = 30 x 106 psi, cross-section area A = 4 in², Coefficient of thermal expansion a = 6.4 x106/F, Yield Strength oy = 20,000 psi. 2 ft B 2 ft Eft 2 ft E P A. What is the force in rod DB if the external force P = 20000 lbs is applied?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Section: Chapter Questions

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

**Problem 2: Structural Analysis**

**Description:**

For the structure shown below, Beam ABC is a rigid beam weighing 10,000 lbs. The rods DB and CE are assumed to be elastic-perfectly plastic materials.

**Given:**
- Young’s Modulus, \( E = 30 \times 10^6 \text{ psi} \)
- Cross-section area, \( A = 4 \text{ in}^2 \)
- Coefficient of thermal expansion, \( \alpha = 6.4 \times 10^{-6} \text{ /°F} \)
- Yield Strength, \( \sigma_y = 20,000 \text{ psi} \)

**Diagram Explanation:**

The diagram illustrates a rigid beam ABC supported by a rod at D and a rod at E. The beam is fixed at point A.
- Rod DB is vertical and 2 ft long.
- Rod CE is vertical and 2 ft long as well.
- The beam spans horizontally: 2 ft from A to B, 4 ft from B to C.
- An external force \( P = 20,000 \) lbs is applied vertically downward at point C.

**Questions:**

**A.** What is the force in rod DB if the external force \( P = 20,000 \) lbs is applied?

**B.** What is the maximum external load \( P \) that could be applied to the rigid beam before the structure collapses?

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