The rigid lever arm is supported by two A-36 steel wires having the same diameter of 4 mm. A force of P = 3 kN is applied to the handle. Consider A-36 steel as an elastic perfectly plastic material. (Figure 1) Figure A 300 mm 150 mm, 150 mm D 30% 450 mm 1 of 1 Determine the force developed in both wires. Enter your answers in kilonewtons to three significant figures separated by a comma. FAB, FCD = Submit Request Answer Part B SAB, SCD = —| ΑΣΦ Submit Provide Feedback Determine the corresponding elongations of the wires. Enter your answers in millimeters to three significant figures separated by a comma. 15| ΑΣΦ vec Request Answer ? vec kN ? mm

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Mechanics of Materials: Example Problem

#### Problem Statement

The rigid lever arm is supported by two A-36 steel wires having the same diameter of 4 mm. A force of \( P = 3 \, \text{kN} \) is applied to the handle. Consider A-36 steel as an elastic perfectly plastic material.

*Refer to Figure 1 below.*

#### Figure 1
![Figure 1](https://www.example.com/link-to-figure1.png)
- The illustration shows a lever arm system with dimensions and forces indicated.
- Points B and D represent the locations where the wires are attached to the lever arm.
- Wire AB is of length 300 mm attached to point B.
- Wire CD is of length 300 mm attached to point D.
- The applied force \( P \) is shown acting at an angle of 30° to the horizontal through point E, at a distance of 450 mm from point A along the lever arm.

#### Part A: Force in the Wires

Determine the force developed in both wires.

**Enter your answers in kilonewtons to three significant figures separated by a comma**:
\[ F_{AB}, F_{CD} = \, \_\_\_\_ \]

#### Part B: Elongation of the Wires

Determine the corresponding elongations of the wires.

**Enter your answers in millimeters to three significant figures separated by a comma**:
\[ \delta_{AB}, \delta_{CD} = \, \_\_\_\_ \]

---

**Submit your Answers**

Clicking "Submit" after entering your solutions will evaluate your input and provide feedback on the correctness of your calculations.

**Provide Feedback**

If you have any questions or need further clarification, please click the "Provide Feedback" link.

---

This problem helps students understand the concepts of tension in wires and the elongation due to applied forces. It integrates principles from statics and material mechanics, emphasizing the practical application of these concepts.
Transcribed Image Text:### Mechanics of Materials: Example Problem #### Problem Statement The rigid lever arm is supported by two A-36 steel wires having the same diameter of 4 mm. A force of \( P = 3 \, \text{kN} \) is applied to the handle. Consider A-36 steel as an elastic perfectly plastic material. *Refer to Figure 1 below.* #### Figure 1 ![Figure 1](https://www.example.com/link-to-figure1.png) - The illustration shows a lever arm system with dimensions and forces indicated. - Points B and D represent the locations where the wires are attached to the lever arm. - Wire AB is of length 300 mm attached to point B. - Wire CD is of length 300 mm attached to point D. - The applied force \( P \) is shown acting at an angle of 30° to the horizontal through point E, at a distance of 450 mm from point A along the lever arm. #### Part A: Force in the Wires Determine the force developed in both wires. **Enter your answers in kilonewtons to three significant figures separated by a comma**: \[ F_{AB}, F_{CD} = \, \_\_\_\_ \] #### Part B: Elongation of the Wires Determine the corresponding elongations of the wires. **Enter your answers in millimeters to three significant figures separated by a comma**: \[ \delta_{AB}, \delta_{CD} = \, \_\_\_\_ \] --- **Submit your Answers** Clicking "Submit" after entering your solutions will evaluate your input and provide feedback on the correctness of your calculations. **Provide Feedback** If you have any questions or need further clarification, please click the "Provide Feedback" link. --- This problem helps students understand the concepts of tension in wires and the elongation due to applied forces. It integrates principles from statics and material mechanics, emphasizing the practical application of these concepts.
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