### Description of Figure P3.3-16The 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.

Answered: Image /qna-images/answer/fe6a21f9-7746-48ca-9687-cc306fba6ec5.jpg

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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Braced cuts

The braced cut is a method of providing lateral support to the soil in foundation trenches, to prevent the trenches from deformation by the caving in of soil and resisting it from moving laterally. During shallow excavation in firm soil, generally, slopes are provided to resist the caving in of soil. During shallow excavation in soft soil and deep excavation, the chances of caving in of soil increase. Hence, it becomes necessary to make a provision to resist the deformation of trenches due to caving in of soil. The braced cut is the method used for such conditions. The excavation using braced cuts is a bit uneconomical as compared to the traditional open-cut excavation method but provides better safety than the cut excavation method.

Question

### 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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