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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12c0a0e9-4d98-45bb-8c42-bb6fd08d9097%2Fb3bb9e5a-73c8-4be7-b5f0-bcd22e647473%2Fes2vi7j_processed.png&w=3840&q=75)
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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