Rigia and tw axlal Determine the internal forces and normal stresses in Bar properties bars (1) and (2). (+ = tension, compression) %3D - = A1 = 720 mm? Also, determine the deflection of the rigid bar in the x direction at C. E, 100 GPa %3D A2 = 220 mm? E, 80 GPa %3D (2) D

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### M5.7 Rigid Bar and Two Axial Members

**Objective:**

Determine the internal forces and normal stresses in bars (1) and (2). Positive values indicate tension, and negative values indicate compression.

Also, determine the deflection of the rigid bar in the x direction at point C.

---

**Diagram Explanation:**

The diagram displays a vertical rigid bar with two horizontal axial members attached perpendicularly. 

- **Bar (1):** 
  - Connected at point B
  - Length: 700 mm

- **Bar (2):** 
  - Connected at point D
  - Length: 950 mm

- **Vertical Bar:**
  - Points and dimensions:
    - A to B: 540 mm
    - B to C: 320 mm
    - C to D: 380 mm

- A lateral force of 95 kN is applied at point C to the right.

**Bar Properties:**

- **Bar 1:**
  - Cross-sectional area (\(A_1\)): 720 mm²
  - Modulus of elasticity (\(E_1\)): 100 GPa

- **Bar 2:**
  - Cross-sectional area (\(A_2\)): 220 mm²
  - Modulus of elasticity (\(E_2\)): 80 GPa

**Calculations:**

To find:

- \(F_1\) (kN): Internal force in Bar (1)
- \(F_2\) (kN): Internal force in Bar (2)
- \(\sigma_1\) (MPa): Normal stress in Bar (1)
- \(\sigma_2\) (MPa): Normal stress in Bar (2)
- \(v_c\) (mm): Deflection at point C

---

**Interactive Section:**

Enter your calculated values for:

- \(F_1\) and \(F_2\) in kN
- \(\sigma_1\) and \(\sigma_2\) in MPa
- \(v_c\) in mm

Select your attempt to check the solution: 1st, 2nd, or 3rd, and press "enter."
Transcribed Image Text:### M5.7 Rigid Bar and Two Axial Members **Objective:** Determine the internal forces and normal stresses in bars (1) and (2). Positive values indicate tension, and negative values indicate compression. Also, determine the deflection of the rigid bar in the x direction at point C. --- **Diagram Explanation:** The diagram displays a vertical rigid bar with two horizontal axial members attached perpendicularly. - **Bar (1):** - Connected at point B - Length: 700 mm - **Bar (2):** - Connected at point D - Length: 950 mm - **Vertical Bar:** - Points and dimensions: - A to B: 540 mm - B to C: 320 mm - C to D: 380 mm - A lateral force of 95 kN is applied at point C to the right. **Bar Properties:** - **Bar 1:** - Cross-sectional area (\(A_1\)): 720 mm² - Modulus of elasticity (\(E_1\)): 100 GPa - **Bar 2:** - Cross-sectional area (\(A_2\)): 220 mm² - Modulus of elasticity (\(E_2\)): 80 GPa **Calculations:** To find: - \(F_1\) (kN): Internal force in Bar (1) - \(F_2\) (kN): Internal force in Bar (2) - \(\sigma_1\) (MPa): Normal stress in Bar (1) - \(\sigma_2\) (MPa): Normal stress in Bar (2) - \(v_c\) (mm): Deflection at point C --- **Interactive Section:** Enter your calculated values for: - \(F_1\) and \(F_2\) in kN - \(\sigma_1\) and \(\sigma_2\) in MPa - \(v_c\) in mm Select your attempt to check the solution: 1st, 2nd, or 3rd, and press "enter."
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