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2b0 L bo P3.3-16 and P3.3-17 *Prob. 3.3-17. (a) Derive a formula for the elongation of the bar in Fig. P3.3-16 if its unstretched length is L and its mod- ulus of elasticity is E. (b) Calculate the elongation of the bar for the following case: bo = 25 mm, L= 10 m, E = 200 GPa. and y = 77 kN/m³.

2b0 L bo P3.3-16 and P3.3-17 *Prob. 3.3-17. (a) Derive a formula for the elongation of the bar in Fig. P3.3-16 if its unstretched length is L and its mod- ulus of elasticity is E. (b) Calculate the elongation of the bar for the following case: bo = 25 mm, L= 10 m, E = 200 GPa. and y = 77 kN/m³.

Structural Analysis
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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### Description of Figure P3.3-16 The figure depicts a tapered bar subjected to gravitational force (denoted by \( g \)), aligned vertically with several dimensional markings: - **Top Width**: \( 2b_0 \) - **Bottom Width**: \( b_0 \) - **Thickness**: \( t \) - **Length**: \( L \) ### Problem 3.3-17 (a) **Objective**: Derive a formula for the elongation of the tapered bar shown in Figure P3.3-16. Consider its unstretched length as \( L \) and modulus of elasticity as \( E \). (b) **Calculation Required**: Determine the elongation of the bar given specific parameters: - Base width (\( b_0 \)): \( 25 \, \text{mm} \) - Length (\( L \)): \( 10 \, \text{m} \) - Modulus of elasticity (\( E \)): \( 200 \, \text{GPa} \) - Specific weight (\( \gamma \)): \( 77 \, \text{kN/m}^3 \) This exercise involves understanding material deformation under the influence of gravity, calculating distortion based on specified material and structural properties.
Transcribed Image Text:### Description of Figure P3.3-16 The figure depicts a tapered bar subjected to gravitational force (denoted by \( g \)), aligned vertically with several dimensional markings: - **Top Width**: \( 2b_0 \) - **Bottom Width**: \( b_0 \) - **Thickness**: \( t \) - **Length**: \( L \) ### Problem 3.3-17 (a) **Objective**: Derive a formula for the elongation of the tapered bar shown in Figure P3.3-16. Consider its unstretched length as \( L \) and modulus of elasticity as \( E \). (b) **Calculation Required**: Determine the elongation of the bar given specific parameters: - Base width (\( b_0 \)): \( 25 \, \text{mm} \) - Length (\( L \)): \( 10 \, \text{m} \) - Modulus of elasticity (\( E \)): \( 200 \, \text{GPa} \) - Specific weight (\( \gamma \)): \( 77 \, \text{kN/m}^3 \) This exercise involves understanding material deformation under the influence of gravity, calculating distortion based on specified material and structural properties.
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