1. The lap joint shown is connected by four 20-mm diameter rivets. The load P is equal to 120 kN and is carried equally by the four rivets. P= 120 KN a. How many shear planes are there? b. Determine the shear stress in the rivets in MPa. 12 mm 12 mm

Elements Of Electromagnetics
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**Assignment on Shear and Tensile Stress Analysis**

**1. Lap Joint Analysis**
- A lap joint is shown, connected by four 20-mm diameter rivets. The load \( P \) is equal to 120 kN and is carried equally by the four rivets.
  - **a.** How many shear planes are there?
  - **b.** Determine the shear stress in the rivets in MPa.

*Notes:*
- The diagram represents a lap joint with specified distances and load distribution.
- Load \( P = 120 \, \text{kN} \) is applied on each side of the joint.
- The joint includes rivets evenly spaced along the connection.

**2. Tie Rod Analysis**
- A tie rod of \( \frac{1}{4} \) inch diameter is used to hold a plaster wall in place. The tensile stress in the rod caused by load \( P \) is 20 ksi. Find the diameter “d” (to the nearest \( \frac{1}{16} \) inch) of the washer that keeps the bearing stress between the plaster and the washer from exceeding 300 psi.

*Notes:*
- The diagram shows a tie rod with labeled dimensions, connected to the plaster wall.
- Stress analysis must ensure the bearing stress remains below the specified maximum.
- Calculations involve converting units and considering stress distribution on the washer.

**Diagrams Description:**
- Two diagrams illustrate the mechanical systems.
  - **First Diagram (Lap Joint):**
    - Displays rivets symmetrically placed along the overlap.
    - Labels indicate load direction and dimensions.
  - **Second Diagram (Tie Rod):**
    - Shows tie rod embedded into the plaster wall.
    - Dimensions and load indications provide insight into stress calculations.
Transcribed Image Text:**Assignment on Shear and Tensile Stress Analysis** **1. Lap Joint Analysis** - A lap joint is shown, connected by four 20-mm diameter rivets. The load \( P \) is equal to 120 kN and is carried equally by the four rivets. - **a.** How many shear planes are there? - **b.** Determine the shear stress in the rivets in MPa. *Notes:* - The diagram represents a lap joint with specified distances and load distribution. - Load \( P = 120 \, \text{kN} \) is applied on each side of the joint. - The joint includes rivets evenly spaced along the connection. **2. Tie Rod Analysis** - A tie rod of \( \frac{1}{4} \) inch diameter is used to hold a plaster wall in place. The tensile stress in the rod caused by load \( P \) is 20 ksi. Find the diameter “d” (to the nearest \( \frac{1}{16} \) inch) of the washer that keeps the bearing stress between the plaster and the washer from exceeding 300 psi. *Notes:* - The diagram shows a tie rod with labeled dimensions, connected to the plaster wall. - Stress analysis must ensure the bearing stress remains below the specified maximum. - Calculations involve converting units and considering stress distribution on the washer. **Diagrams Description:** - Two diagrams illustrate the mechanical systems. - **First Diagram (Lap Joint):** - Displays rivets symmetrically placed along the overlap. - Labels indicate load direction and dimensions. - **Second Diagram (Tie Rod):** - Shows tie rod embedded into the plaster wall. - Dimensions and load indications provide insight into stress calculations.
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