Bar A-B-C is made from a fully bonded composite of two materials as shown in the cross section below. Find the Z displacement at point C.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem Statement:**

Bar A-B-C is made from a fully bonded composite of two materials as shown in the cross section below. Find the Z displacement at point C.

**Description of the Diagram:**

1. **Bar Configuration:**
   - The bar is composed of points A, B, and C.
   - It is subject to two forces:
     - \(20 \, \text{kN}\) acting leftward between points A and B.
     - \(50 \, \text{kN}\) acting rightward at point C.
   - Distances:
     - \(AB = 1.10 \, \text{m}\)
     - \(BC = 1.25 \, \text{m}\)

2. **Cross Section c-c:**
   - The cross section is a composite made of two materials.
   - Layers: 
     - Top layer: \(5 \, \text{mm}\), material 1
     - Middle layer: \(5 \, \text{mm}\), material 2
     - Bottom layer: \(5 \, \text{mm}\), material 1
   - Total thickness: \(25 \, \text{mm}\)

3. **Material Properties:**
   - Material 1:
     - Young's Modulus, \(E = 240 \, \text{GPa}\)
   - Material 2:
     - Young's Modulus, \(E = 180 \, \text{GPa}\)

**Goal:**
Calculate the Z displacement (\(u_z\)) at point C.

\[
u_z = \underline{\ \qquad \ } \text{ mm (at C)}
\]
Transcribed Image Text:**Problem Statement:** Bar A-B-C is made from a fully bonded composite of two materials as shown in the cross section below. Find the Z displacement at point C. **Description of the Diagram:** 1. **Bar Configuration:** - The bar is composed of points A, B, and C. - It is subject to two forces: - \(20 \, \text{kN}\) acting leftward between points A and B. - \(50 \, \text{kN}\) acting rightward at point C. - Distances: - \(AB = 1.10 \, \text{m}\) - \(BC = 1.25 \, \text{m}\) 2. **Cross Section c-c:** - The cross section is a composite made of two materials. - Layers: - Top layer: \(5 \, \text{mm}\), material 1 - Middle layer: \(5 \, \text{mm}\), material 2 - Bottom layer: \(5 \, \text{mm}\), material 1 - Total thickness: \(25 \, \text{mm}\) 3. **Material Properties:** - Material 1: - Young's Modulus, \(E = 240 \, \text{GPa}\) - Material 2: - Young's Modulus, \(E = 180 \, \text{GPa}\) **Goal:** Calculate the Z displacement (\(u_z\)) at point C. \[ u_z = \underline{\ \qquad \ } \text{ mm (at C)} \]
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