**Classify the Truss**### Problem Statement:Classify the truss as determinate or indeterminate. If indeterminate, state the degree of indeterminacy.### Diagram Explanation:The diagram shows a truss structure supported at two points: one with a fixed support (indicated by a roller symbol) and the other with a pinned support (indicated by a triangle). The truss consists of multiple members forming triangles with an additional vertical member connecting the top and bottom chords. There is a vertical load of 10 kN applied at the top intersection of the central vertical member.### Analysis:To determine whether the truss is determinate or indeterminate, consider the following definitions:- **Determinate Truss:** A truss is determinate if the static equilibrium equations are sufficient to find all the member forces and reactions.- **Indeterminate Truss:** A truss is indeterminate if there are more unknowns than the available equilibrium equations, requiring additional analysis beyond static equilibrium.### Steps for Analysis:1. **Count the Members (m):** Count all the individual bars in the truss.2. **Count the Joints (j):** Count the connection points (nodes) in the truss.3. **Count the Reactions (r):** Consider the supports and determine the reactions they apply.Using the formula for planar trusses:\[ \text{2j = m + r} \]- If \( 2j = m + r \), the truss is statically determinate.- If \( 2j < m + r \), the truss is statically indeterminate.Perform these calculations using the given diagram to classify the truss as determinate or indeterminate and determine the degree of indeterminacy if applicable.

Answered: Classify the truss as determinate or…

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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Question

**Classify the Truss**

### Problem Statement:
Classify the truss as determinate or indeterminate. If indeterminate, state the degree of indeterminacy.

### Diagram Explanation:
The diagram shows a truss structure supported at two points: one with a fixed support (indicated by a roller symbol) and the other with a pinned support (indicated by a triangle). The truss consists of multiple members forming triangles with an additional vertical member connecting the top and bottom chords. There is a vertical load of 10 kN applied at the top intersection of the central vertical member.

### Analysis:
To determine whether the truss is determinate or indeterminate, consider the following definitions:

- **Determinate Truss:** A truss is determinate if the static equilibrium equations are sufficient to find all the member forces and reactions.
- **Indeterminate Truss:** A truss is indeterminate if there are more unknowns than the available equilibrium equations, requiring additional analysis beyond static equilibrium.

### Steps for Analysis:
1. **Count the Members (m):** Count all the individual bars in the truss.
2. **Count the Joints (j):** Count the connection points (nodes) in the truss.
3. **Count the Reactions (r):** Consider the supports and determine the reactions they apply.

Using the formula for planar trusses:
\[
\text{2j = m + r}
\]
- If \( 2j = m + r \), the truss is statically determinate.
- If \( 2j < m + r \), the truss is statically indeterminate.

Perform these calculations using the given diagram to classify the truss as determinate or indeterminate and determine the degree of indeterminacy if applicable.

Expert Solution

Step 1

A structure is classified as indeterminate or determinate depending upon the static indeterminacy of structure. A structure is said to be statically indeterminate when static equilibrium equations like force equation or moment equations are not enough to find the reactions and internal forces in structure. In a determinate structure, static equilibrium equations are enough to find reactions and internal forces, and there is no need to form compatibility equations for determination of reactions. In the given truss, left support is hinged support having two external reactions and right support is roller support having only one reaction.

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