For the truss shown, the cross-sectional area of each member is
1200 mm?
a. Compute the stress in member DF
b. Compute the stress in member CE
c. Compute the stress in member BD

To compute the stress in members of a truss, we first need to follow a general step-by-step procedure to determine the internal forces in each member and then use those forces to calculate stress. The stress in each member is computed using the formula:

\[
\sigma = \frac{F}{A}
\]

Where:
- \( \sigma \) is the stress,
- \( F \) is the internal force in the member, and
- \( A \) is the cross-sectional area of the member.

Since the cross-sectional area \( A \) for each member is 1200 mm², the steps to solve the problem are as follows:

### Step 1: Analyze the Truss Structure
- **Method of Joints** or **Method of Sections** is typically used to find the internal forces in specific members.
- You'll need to identify the external forces (loads and reactions) applied to the truss to perform the analysis.

### Step 2: Compute the Forces in Members DF, CE, and BD
To compute the internal forces in each of the members (DF, CE, and BD), use either of the following methods:

#### a. Method of Joints:
1. Start at a joint where two or fewer unknown forces are acting.
2. Apply equilibrium equations (∑Fx = 0 and ∑Fy = 0) to solve for the forces.

#### b. Method of Sections:
1. Cut through the truss to expose the internal forces of the members you're interested in.
2. Apply equilibrium equations (∑Fx = 0, ∑Fy = 0, and ∑M = 0) to solve for the forces in the cut members.

### Step 3: Calculate Stress
Once the internal forces in members DF, CE, and BD are known, calculate the stress using the formula:

\[
\sigma_{\text{member}} = \frac{F_{\text{member}}}{A}
\]

Where \( A = 1200 \, \text{mm}^2 \).

If you can provide a diagram of the truss and the forces acting on it, I can assist in solving for the internal forces and stresses in members DF, CE, and BD.

Would you like to upload an image of the truss or provide the details of the load and support configuration?

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### Related Questions:
1. What is the difference between the Method of Joints and the Method of Sections in truss analysis?
2. How do external loads and supports affect internal forces in a truss structure?
3. What role does equilibrium play in determining the forces in a truss?
4. How does changing the cross-sectional area affect the stress in a truss member?
5. What are typical materials used for trusses, and how does material selection impact stress?

### Tip:
In statically determinate trusses, using symmetry in loading conditions can simplify the analysis significantly.

For the truss shown, the cross-sectional area of each member is 1200 mm². Compute the stress in member DF, CE, and BD.

This detailed guide walks you through the step-by-step process to compute the stress in members DF, CE, and BD of a truss structure with a 1200 mm² cross-sectional area. Learn how to use the Method of Joints and Method of Sections to solve for internal forces and stress in trusses. Ideal for civil and mechanical engineering students.

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