No explanation required Beam CB has some applied forces and moments such that the internal loadings at a cross-section through point A are: Vy = -5 kN and M₂ = + 15 kNm (P=0, V₂ = 0, My = Mx=0), for the coordinate system shown. ay. You have already done the analysis (using the shear and flexure formulae) and found that the magnitude of the shear stress at points D and E are B |TD| = 15 MPa and |TE| = 12 MPa -D and the magnitudes of the normal stress at points D and E are |op| = 24 MPa and |OE| = 30 MPa. Your job is to translate this physical situation into correct stress elements at points D and E, i.e. for each point you will fill in magnitudes and directions of ox, Gy, and Txy. Draw the stress elements at D and E. D: E: 201 + Some loading B

Structural Analysis
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Chapter2: Loads On Structures
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**Stress Analysis of Beam CB - Educational Content**

___

### Problem Statement
Beam CB has some applied forces and moments such that the internal loadings at a cross-section through point A are:

\[ V_y = -5 \text{kN} \]
\[ M_x = +15 \text{kNm} \]

The coordinate system used is \(P=0, V_{z} = 0, M_y = M_x =0\).

### Given Data
- **Shear Stress at Points D and E:**
  - \(| \tau_D | = 15 \text{MPa}\)
  - \(| \tau_E | = 12 \text {MPa}\)

- **Normal Stress at Points D and E:**
  - \(| \sigma_D | = 24 \text {MPa}\)
  - \(| \sigma_E | = 30 \text {MPa}\)

### Task

The task is to translate this physical situation into correct stress elements at points D and E, i.e., for each point, fill in the magnitudes and directions of \(\sigma_x, \sigma_y,\) and \( \tau_{xy} \).

### Steps to Follow:
1. **Analyze Shear and Normal Stress:**
   - Determine the directions of shear and normal stresses at points D and E based on the given magnitudes.
   
2. **Diagram Interpretation:**
   - A schematic view of beam CB is depicted with a cross-sectional view taken at point A, indicating points D and E on the section.
   - Axes are defined with \(x\)-axis along the length of the beam, \(y\)-axis along the height, and \(z\)-axis into the plane.

### Graphical Representation:
- Two squares are provided below labeled D and E.
- These squares represent elements at points D and E respectively, where you will fill in the stress components as per your analysis.

#### Overview Diagram:
- **Figure 1:** A simplified lateral view of beam CB, indicating point A with some loading applied.
- **Figure 2:** An enlarged sectional view at point A highlighting points D and E, and the \(xyz\)-coordinate directions for stress analysis.

### Drawing Section for Stress Elements:
Use the provided squares to draw and annotate the stress elements, including the directions and magnitudes of \(\sigma_x, \sigma_y,\) and \( \tau_{xy}
Transcribed Image Text:**Stress Analysis of Beam CB - Educational Content** ___ ### Problem Statement Beam CB has some applied forces and moments such that the internal loadings at a cross-section through point A are: \[ V_y = -5 \text{kN} \] \[ M_x = +15 \text{kNm} \] The coordinate system used is \(P=0, V_{z} = 0, M_y = M_x =0\). ### Given Data - **Shear Stress at Points D and E:** - \(| \tau_D | = 15 \text{MPa}\) - \(| \tau_E | = 12 \text {MPa}\) - **Normal Stress at Points D and E:** - \(| \sigma_D | = 24 \text {MPa}\) - \(| \sigma_E | = 30 \text {MPa}\) ### Task The task is to translate this physical situation into correct stress elements at points D and E, i.e., for each point, fill in the magnitudes and directions of \(\sigma_x, \sigma_y,\) and \( \tau_{xy} \). ### Steps to Follow: 1. **Analyze Shear and Normal Stress:** - Determine the directions of shear and normal stresses at points D and E based on the given magnitudes. 2. **Diagram Interpretation:** - A schematic view of beam CB is depicted with a cross-sectional view taken at point A, indicating points D and E on the section. - Axes are defined with \(x\)-axis along the length of the beam, \(y\)-axis along the height, and \(z\)-axis into the plane. ### Graphical Representation: - Two squares are provided below labeled D and E. - These squares represent elements at points D and E respectively, where you will fill in the stress components as per your analysis. #### Overview Diagram: - **Figure 1:** A simplified lateral view of beam CB, indicating point A with some loading applied. - **Figure 2:** An enlarged sectional view at point A highlighting points D and E, and the \(xyz\)-coordinate directions for stress analysis. ### Drawing Section for Stress Elements: Use the provided squares to draw and annotate the stress elements, including the directions and magnitudes of \(\sigma_x, \sigma_y,\) and \( \tau_{xy}
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