Using method of consistent deformation, determine the vertical reaction at C (in kN). Indicate only the magnitude. Use E = 200GPi and l = 5 * 10 ^ 7 * m * m ^ 4 **Title: Analyzing Beams Using Consistent Deformation Method****Objective:**Determine the vertical reaction at point C (in kN) using the method of consistent deformation. Indicate only the magnitude. Use the given values: \( E = 200 \, \text{GPa} \) and \( I = 5 \times 10^7 \, \text{mm}^4 \).**Diagram Description:**The diagram illustrates a beam structural system consisting of:1. **Beam AB and BC**: - Horizontal section \( BC \) is 6 meters long and has a uniformly distributed load \( w_2 = 8 \, \text{kN/m} \). - Vertical section \( AB \) is 6 meters high with a uniformly distributed load \( w_1 = 4 \, \text{kN/m} \).2. **Support Conditions**: - At point \( A \), the beam is fixed. - At point \( C \), there is a roller support indicating potential vertical reaction.3. **Moment**: - A moment \( M \) of \( 10 \, \text{kN-m} \) is applied at the intersection of beams \( AB \) and \( BC \).**Parameters:**- Elastic modulus (\( E \)) = 200 GPa- Moment of inertia (\( I \)) = \( 5 \times 10^7 \, \text{mm}^4 \)The task involves using structural analysis principles to compute the vertical reaction at point \( C \).

Free body diagram - For the horizontal force - ∑Fx = 0⇒HA = 0 For the vertical force - ∑Fy =…

Using method of consistent deformation, determine the vertical reaction at C (in kN). Indicate only the magnitude. Use E=200GPA and I=5x107 mm4. A 6m W1 = 4kN/m %3D В M = 10KN-m %3D W2 = 8kN/m %3D 6m

Using method of consistent deformation, determine the vertical reaction at C (in kN). Indicate only the magnitude. Use E=200GPA and I=5x107 mm4. A 6m W1 = 4kN/m %3D В M = 10KN-m %3D W2 = 8kN/m %3D 6m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

Using method of consistent deformation, determine the vertical reaction at C (in kN). Indicate only the magnitude. Use E = 200GPi and l = 5 * 10 ^ 7 * m * m ^ 4

**Title: Analyzing Beams Using Consistent Deformation Method**

**Objective:**
Determine the vertical reaction at point C (in kN) using the method of consistent deformation. Indicate only the magnitude. Use the given values: \( E = 200 \, \text{GPa} \) and \( I = 5 \times 10^7 \, \text{mm}^4 \).

**Diagram Description:**

The diagram illustrates a beam structural system consisting of:

1. **Beam AB and BC**:
- Horizontal section \( BC \) is 6 meters long and has a uniformly distributed load \( w_2 = 8 \, \text{kN/m} \).
- Vertical section \( AB \) is 6 meters high with a uniformly distributed load \( w_1 = 4 \, \text{kN/m} \).

2. **Support Conditions**:
- At point \( A \), the beam is fixed.
- At point \( C \), there is a roller support indicating potential vertical reaction.

3. **Moment**:
- A moment \( M \) of \( 10 \, \text{kN-m} \) is applied at the intersection of beams \( AB \) and \( BC \).

**Parameters:**

- Elastic modulus (\( E \)) = 200 GPa
- Moment of inertia (\( I \)) = \( 5 \times 10^7 \, \text{mm}^4 \)

The task involves using structural analysis principles to compute the vertical reaction at point \( C \).

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