The rigid bar is supported by a smooth pin and two rods as shown. Neglect the weight of the rigid bar. The assembly is initially stress-free. Determine the stress in each rod if the temperature increases by 25°C after a load W = 100 kN is applied. The steel rod has an area of 320 mm? with a = 11.7 µm/ ( m°C ) and E = 200 GPa. For the bronze rod, it has an area of 1380 mm? with a = 18.9 µm/ ( mºC ) and E = 83 GPa. %3D %3D Bronze 3 m Steel 1.5 m →| 1.0 m |- 2.5 m - 1.5 m

The rigid bar is supported by a smooth pin and two rods as shown. Neglect the weight of the rigid bar. The assembly is initially stress-free. Determine the stress in each rod if the temperature increases by 25°C after a load W = 100 kN is applied. The steel rod has an area of 320 mm? with a = 11.7 µm/ ( m°C ) and E = 200 GPa. For the bronze rod, it has an area of 1380 mm? with a = 18.9 µm/ ( mºC ) and E = 83 GPa. %3D %3D Bronze 3 m Steel 1.5 m →| 1.0 m |- 2.5 m - 1.5 m

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

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

The rigid bar is supported by a smooth pin and two rods as shown. Neglect the weight of the rigid bar.
The assembly is initially stress-free. Determine the stress in each rod if the temperature increases by 25°C
after a load W = 100 kN is applied. The steel rod has an area of 320 mm² with a = 11.7 um/ ( m°C ) and E
= 200 GPa. For the bronze rod, it has an area of 1380 mm? with a = 18.9 µm/ ( m°C ) and E = 83 GPa.
Bronze | 3 m
Steel | 1.5 m
1.0 m -
- 2.5 m
+1.5 m→

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