Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Question
**Problem 2** For the same two-span continuous beam in Problem 1, determine the moment at C if point C settles 1.5 inches downwards. Given \( E = 29000 \) ksi, \( I = 300 \) in\( ^4 \).
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Transcribed Image Text:**Problem 2** For the same two-span continuous beam in Problem 1, determine the moment at C if point C settles 1.5 inches downwards. Given \( E = 29000 \) ksi, \( I = 300 \) in\( ^4 \).
### Diagram Analysis The image depicts a schematic of a horizontal beam with marked temperature changes and structural properties. #### Beam Layout - **Supports and Points:** - Point A: A fixed support is located at the left end of the beam. - Point B: A roller support on the right end at 60 inches above the base level. - Point C: A marked point at the center of the beam. - **Distances:** - The total length of the beam is 40 feet, divided into two equal segments of 20 feet each between Points A and C, and Points C and B. #### Temperature and Material Properties - **Temperature:** - \( T_1 = 200^\circ F \) at Point A. - \( T_2 = 50^\circ F \) at Point C. - **Material Properties:** - Elastic Modulus \( E = 29000 \) ksi. - Moment of Inertia \( I = 300 \) in\(^4\). - Coefficient of Thermal Expansion \( \alpha = 6 \times 10^{-6} \) /°F. This diagram likely represents a structural thermal analysis scenario, where temperature variations across the beam are analyzed in conjunction with its mechanical properties.
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Transcribed Image Text:### Diagram Analysis The image depicts a schematic of a horizontal beam with marked temperature changes and structural properties. #### Beam Layout - **Supports and Points:** - Point A: A fixed support is located at the left end of the beam. - Point B: A roller support on the right end at 60 inches above the base level. - Point C: A marked point at the center of the beam. - **Distances:** - The total length of the beam is 40 feet, divided into two equal segments of 20 feet each between Points A and C, and Points C and B. #### Temperature and Material Properties - **Temperature:** - \( T_1 = 200^\circ F \) at Point A. - \( T_2 = 50^\circ F \) at Point C. - **Material Properties:** - Elastic Modulus \( E = 29000 \) ksi. - Moment of Inertia \( I = 300 \) in\(^4\). - Coefficient of Thermal Expansion \( \alpha = 6 \times 10^{-6} \) /°F. This diagram likely represents a structural thermal analysis scenario, where temperature variations across the beam are analyzed in conjunction with its mechanical properties.
Expert Solution
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Step 1: introduction to question

Given that :-

The two-span continuous beam has following specifications :

I = 300 i n to the power of 4

E = 29000 ksi

alpha space equals space 6 space cross times space 10 to the power of negative 6 end exponent divided by F


Required that :-

Determine the moment at point C if point C settles 1.5 in downwards.

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