## Problem 3/98### DescriptionEach of the three uniform 1200-mm bars has a mass of 20 kg. The bars are welded together into the configuration shown and suspended by three vertical wires. Bars AB and BC lie in the horizontal x-y plane, and the third bar lies in a plane parallel to the x-z plane. Compute the tension in each wire.### Diagram ExplanationThe diagram depicts a three-bar structure that is suspended by three wires. Key points in the diagram are:- **Points A, B, and C**: Locations where the bars are welded together and connected by vertical wires.- **Bar AB**: This 1200 mm long bar lies in the x-y plane.- **Bar BC**: This bar is 600 mm long horizontally along the x-y plane.- **Vertical Bars**: - From Point A to the bar AB: 1200 mm distance along the x-axis. - From Point B to the bar BC: 600 mm distance along the x-axis. - From Point C vertical: 600 mm distance along the y-axis. - The third bar which lies at a 30 degrees angle to the x-axis in a plane parallel to the x-z plane is 1200 mm in length.### Problem Task- Compute the tension in each wire that is suspending the structure.### Additional NotesThe mass of each bar is crucial for calculating the tensions since each bar has a mass of 20 kg. The tension in each wire will be derived by considering the balance of forces and moments acting on the structure.This problem involves elements of static equilibrium, vector resolution, and geometric considerations in a three-dimensional space.

Answered: Image /qna-images/answer/42999009-4498-4f15-a165-4d68950cf196.jpg

3/98 Each of the three uniform 1200-mm bars has a mass of 20 kg. The bars are welded together into the configura- tion shown and suspended by three vertical wires. Bars AB and BC lie in the horizontal x-y plane, and the third bar lies in a plane parallel to the x-z plane. Compute the tension in each wire. B 600 mm 1200 mm A 30⁰! 1200 mm PROBLEM 3/98 600 mm -y

3/98 Each of the three uniform 1200-mm bars has a mass of 20 kg. The bars are welded together into the configura- tion shown and suspended by three vertical wires. Bars AB and BC lie in the horizontal x-y plane, and the third bar lies in a plane parallel to the x-z plane. Compute the tension in each wire. B 600 mm 1200 mm A 30⁰! 1200 mm PROBLEM 3/98 600 mm -y

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

Properties of Aluminium

Aluminum (or Aluminum) is a silvery-white in color metal. The chemical symbol of aluminum is Al and it has an atomic number (Z) of 13 in the periodic table. The aluminum name for this metal is derived from the Latin word ‘alumen’, which means bitter salt. Aluminum was discovered in the year 1825 by Hans Oersted, and later Friedrich Wöhler isolated aluminum. It is the most commonly found metal in the earth’s core, which is around 8% of the total core mass. Moreover, it is the third most commonly found element on earth after oxygen and silicon. Electron distribution of aluminum per shell is 2, 8, and 3 with a valency of 3. Atomic weight is nearly 26.9815 u.

Question

## Problem 3/98
### Description
Each of the three uniform 1200-mm bars has a mass of 20 kg. The bars are welded together into the configuration shown and suspended by three vertical wires. Bars AB and BC lie in the horizontal x-y plane, and the third bar lies in a plane parallel to the x-z plane. Compute the tension in each wire.

### Diagram Explanation
The diagram depicts a three-bar structure that is suspended by three wires. Key points in the diagram are:

- **Points A, B, and C**: Locations where the bars are welded together and connected by vertical wires.
- **Bar AB**: This 1200 mm long bar lies in the x-y plane.
- **Bar BC**: This bar is 600 mm long horizontally along the x-y plane.
- **Vertical Bars**:
- From Point A to the bar AB: 1200 mm distance along the x-axis.
- From Point B to the bar BC: 600 mm distance along the x-axis.
- From Point C vertical: 600 mm distance along the y-axis.
- The third bar which lies at a 30 degrees angle to the x-axis in a plane parallel to the x-z plane is 1200 mm in length.

### Problem Task
- Compute the tension in each wire that is suspending the structure.

### Additional Notes
The mass of each bar is crucial for calculating the tensions since each bar has a mass of 20 kg. The tension in each wire will be derived by considering the balance of forces and moments acting on the structure.

This problem involves elements of static equilibrium, vector resolution, and geometric considerations in a three-dimensional space.

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