1 A steel bar is 40 mm in diameter for a length of 100 mm, 30 mm in diameter for a length of 60 mm and 20 mm in diameter for the remaining 80 mm of its length. Calculate the load required to produce a total elongation of 0,177 mm in the rod. What would be the diameters of a steel tube of the same total length and same material subjected to a load of 70 kN to produce the same elongation namely 0 177 mm Assume a

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

A steel bar is segmented into three parts with varying diameters and lengths:

1. Diameter: 40 mm, Length: 100 mm
2. Diameter: 30 mm, Length: 60 mm
3. Diameter: 20 mm, Length: 80 mm

**Objective 1**: Calculate the load required to produce a total elongation of 0.177 mm in the steel rod.

**Objective 2**: Determine the diameters of a steel tube of the same total length and material that, when subjected to a load of 70 kN, produces the same elongation of 0.177 mm. Assume a diameter ratio of 1.2 to 1 for the tube and a modulus of elasticity \( E = 210 \text{ GPa} \).
Transcribed Image Text:**Problem Statement** A steel bar is segmented into three parts with varying diameters and lengths: 1. Diameter: 40 mm, Length: 100 mm 2. Diameter: 30 mm, Length: 60 mm 3. Diameter: 20 mm, Length: 80 mm **Objective 1**: Calculate the load required to produce a total elongation of 0.177 mm in the steel rod. **Objective 2**: Determine the diameters of a steel tube of the same total length and material that, when subjected to a load of 70 kN, produces the same elongation of 0.177 mm. Assume a diameter ratio of 1.2 to 1 for the tube and a modulus of elasticity \( E = 210 \text{ GPa} \).
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