For the two-span continuous beam, determine the moment at point C due to the thermal load shown. Given T1= 200 F, T2 = 50 F (AT= 150 F). E = 29000 ksi, I= 300 in4, a = 6x10-6 /F.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The image depicts a structural diagram on graph paper, likely representing a beam or bar under specific conditions. Here is the transcription and explanation:

### Diagram Details:
- **Points**: 
  - Point A: Indicates a fixed support (depicted by a triangular symbol with base fixed).
  - Point C: Located at the center, this point is marked with a circle, often representing a type of support or measurement point.
  - Point B: Indicated with a similar triangular support symbol as Point A.

- **Distances**: 
  - The beam is divided into two segments, each measuring 20 feet in length, making the total length 40 feet.

- **Temperatures**: 
  - \( T_1 = 200^\circ F \): Indicated above the left half of the beam.
  - \( T_2 = 50^\circ F \): Indicated above the right half of the beam.

- **Dimensions and Measurements**:
  - The beam is depicted as being offset or elevated by 60 inches at the rightmost end near Point B.

### Material Properties:
- \( E = 29000 \) ksi: This denotes the modulus of elasticity of the material, expressed in kilopounds per square inch.
- \( I = 300 \, \text{in}^4 \): This represents the moment of inertia of the section, given in inch to the fourth power.
- \( \alpha = 6 \times 10^{-6} \, /^\circ F \): Coefficient of thermal expansion per degree Fahrenheit.

This diagram might be used to analyze the effects of temperature variation on structural elements, considering material expansion or contraction. The clear indication of supports and sectional properties suggests an analysis of deflection, stress, or thermal effects in an engineering context.
Transcribed Image Text:The image depicts a structural diagram on graph paper, likely representing a beam or bar under specific conditions. Here is the transcription and explanation: ### Diagram Details: - **Points**: - Point A: Indicates a fixed support (depicted by a triangular symbol with base fixed). - Point C: Located at the center, this point is marked with a circle, often representing a type of support or measurement point. - Point B: Indicated with a similar triangular support symbol as Point A. - **Distances**: - The beam is divided into two segments, each measuring 20 feet in length, making the total length 40 feet. - **Temperatures**: - \( T_1 = 200^\circ F \): Indicated above the left half of the beam. - \( T_2 = 50^\circ F \): Indicated above the right half of the beam. - **Dimensions and Measurements**: - The beam is depicted as being offset or elevated by 60 inches at the rightmost end near Point B. ### Material Properties: - \( E = 29000 \) ksi: This denotes the modulus of elasticity of the material, expressed in kilopounds per square inch. - \( I = 300 \, \text{in}^4 \): This represents the moment of inertia of the section, given in inch to the fourth power. - \( \alpha = 6 \times 10^{-6} \, /^\circ F \): Coefficient of thermal expansion per degree Fahrenheit. This diagram might be used to analyze the effects of temperature variation on structural elements, considering material expansion or contraction. The clear indication of supports and sectional properties suggests an analysis of deflection, stress, or thermal effects in an engineering context.
**Problem 1**

For the two-span continuous beam, determine the moment at point C due to the thermal load shown. Given \( T1 = 200 \, \text{F}, \, T2 = 50 \, \text{F} \, (\Delta T = 150 \, \text{F}) \). \( E = 29000 \, \text{ksi}, \, I = 300 \, \text{in}^4, \, \alpha = 6 \times 10^{-6} \, /\text{F} \).

**Problem 2**

[No additional text provided]
Transcribed Image Text:**Problem 1** For the two-span continuous beam, determine the moment at point C due to the thermal load shown. Given \( T1 = 200 \, \text{F}, \, T2 = 50 \, \text{F} \, (\Delta T = 150 \, \text{F}) \). \( E = 29000 \, \text{ksi}, \, I = 300 \, \text{in}^4, \, \alpha = 6 \times 10^{-6} \, /\text{F} \). **Problem 2** [No additional text provided]
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