o P8.29. Compute the horizontal and vertical components of the deflection at C in Figure P8.29. E = 200 GPa, A = 25 x 10³ mm², and I = 240 x 106 mm¹. - - w = 6 kN/m B A 3m P8.29 20 KN C 5 m

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem P8.29:**

**Objective:** Calculate the horizontal and vertical components of the deflection at point C in Figure P8.29.

**Given Data:**
- Modulus of Elasticity (E) = 200 GPa
- Cross-sectional area (A) = 25 x 10³ mm²
- Moment of inertia (I) = 240 x 10⁶ mm⁴

**Diagram Explanation:**
The diagram in Figure P8.29 represents a structural beam setup. Here are the key features:

- The structure consists of a vertical beam (AB) and a horizontal cantilever beam (BC).
- Point A appears to be a fixed support.
- Point B is a common point between vertical and horizontal beams.
- Length of the vertical beam (AB) = 5 meters
- Uniformly distributed load (w) on vertical beam AB = 6 kN/m
- Length of the horizontal cantilever beam (BC) = 3 meters
- Concentrated load at the end of the horizontal beam (C) = 20 kN

The diagram is annotated with the geometric dimensions and loading conditions. 

---

**Problem P8.30:**

**Objective:** Calculate the vertical displacement of joints B and C for the frame shown in Figure P8.30.

**Given Data:**
- Moment of inertia (I) = 360 in.⁴
- Modulus of Elasticity (E) = 30,000 kips/in.²

**Note:** Consider only flexural deformations.

---

_For detailed analysis and computation, students would typically use principles from structural analysis including methods of superposition, and deflection formulas or software tools to determine these deflections._
Transcribed Image Text:**Problem P8.29:** **Objective:** Calculate the horizontal and vertical components of the deflection at point C in Figure P8.29. **Given Data:** - Modulus of Elasticity (E) = 200 GPa - Cross-sectional area (A) = 25 x 10³ mm² - Moment of inertia (I) = 240 x 10⁶ mm⁴ **Diagram Explanation:** The diagram in Figure P8.29 represents a structural beam setup. Here are the key features: - The structure consists of a vertical beam (AB) and a horizontal cantilever beam (BC). - Point A appears to be a fixed support. - Point B is a common point between vertical and horizontal beams. - Length of the vertical beam (AB) = 5 meters - Uniformly distributed load (w) on vertical beam AB = 6 kN/m - Length of the horizontal cantilever beam (BC) = 3 meters - Concentrated load at the end of the horizontal beam (C) = 20 kN The diagram is annotated with the geometric dimensions and loading conditions. --- **Problem P8.30:** **Objective:** Calculate the vertical displacement of joints B and C for the frame shown in Figure P8.30. **Given Data:** - Moment of inertia (I) = 360 in.⁴ - Modulus of Elasticity (E) = 30,000 kips/in.² **Note:** Consider only flexural deformations. --- _For detailed analysis and computation, students would typically use principles from structural analysis including methods of superposition, and deflection formulas or software tools to determine these deflections._
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