Determine the force in each member of the truss shown. Each member is secured at its ends by a ball-and-socket joint (A, B and C ends, meaning no carrying moment capacity). The image is a diagram of a truss structure designed for educational purposes. It illustrates a truss with two triangular sections. Here's a breakdown of the elements in the diagram:1. **Triangle Sections:** - The left triangle has a base angle labeled as 30 degrees. - The right triangle has a base angle labeled as 60 degrees.2. **Truss Geometry:** - The truss is symmetrical, with each half of the base measuring 50 feet, making the total length 100 feet.3. **Load:** - A downward force of 2000 pounds-force (lbf) is applied at the top of the truss where the two triangles meet.4. **Height:** - The maximum vertical height of the truss is 21.65 feet.5. **Support:** - The structure shows two types of supports. - The left support is represented as a hinge or pivot (typically a triangle symbol). - The right support is shown as a roller (typically a circle symbol).This diagram can be used to study the forces and moments in a truss structure, specifically analyzing the effects of load distribution and support reactions.

Answered: Image /qna-images/answer/37ad2ae4-940c-43c8-af12-99d77b9aaf54.jpg

Answered: 60 21.65ft 30 2000lbf 50ft 50ft

Engineering

Civil Engineering

60 21.65ft 30 2000lbf 50ft 50ft

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

Loads and Reactive Forces

Loads are the external influences that a beam experiences under its working conditions. For instance, a beam may be subjected to shear loads, twisting loads, bending moment, and axial loads during its working conditions. Engineers primarily deal with beams and trusses in the civil engineering domain. Due to the influence of loads, it is very crucial to determine the induced stresses and deformation values. These values give an insight into the critical area of the beam that needs to be worked upon to make it fail-safe.

Question

Determine the force in each member of the truss shown. Each member is secured at its ends by a ball-and-socket joint (A, B and C ends, meaning no carrying moment capacity).

The image is a diagram of a truss structure designed for educational purposes. It illustrates a truss with two triangular sections. Here's a breakdown of the elements in the diagram:

1. **Triangle Sections:**
- The left triangle has a base angle labeled as 30 degrees.
- The right triangle has a base angle labeled as 60 degrees.

2. **Truss Geometry:**
- The truss is symmetrical, with each half of the base measuring 50 feet, making the total length 100 feet.

3. **Load:**
- A downward force of 2000 pounds-force (lbf) is applied at the top of the truss where the two triangles meet.

4. **Height:**
- The maximum vertical height of the truss is 21.65 feet.

5. **Support:**
- The structure shows two types of supports.
- The left support is represented as a hinge or pivot (typically a triangle symbol).
- The right support is shown as a roller (typically a circle symbol).

This diagram can be used to study the forces and moments in a truss structure, specifically analyzing the effects of load distribution and support reactions.

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