### Tension Capacity Determination of an A36 Steel Plate#### Diagram OverviewThe diagram illustrates a tension plate made of A36 steel, connected to a gusset plate. The connection is established using 16 bolts, each with a diameter of 7/8 inch. The diagram specifies the following key dimensions of the tension plate and bolt arrangement:- **Plate Thickness:** \( t = \frac{1}{2} \) inch- **Total Plate Length:** 13 inches- **Vertical Bolt Spacing:** - Top and bottom margins: 2 inches each - In between the bolts: 3 inches each - **Horizontal Bolt Spacing:** - Between each bolt: 4 inches#### Analysis ObjectiveThe objective is to determine the tension capacity (\( P_u \)) of the steel plate when subjected to loads. The capacity should be calculated by considering at least three critical failure lines using the net area (\( A_n \)).#### Calculative Approach1. **Determine Potential Failure Lines:** Identify possible paths through which failure might occur across the bolt holes. 2. **Calculate Net Area (\( A_n \)) for Each Critical Line:** Compute the effective net area by considering the reduction in area due to bolt holes along potential failure paths.3. **Assess Tension Capacity (\( P_u \)):** Use the obtained net areas to determine the ultimate tensile capacity of the plate.This analysis is fundamental for ensuring the structural integrity of connections under tensile loading. Calculating the tension capacity is an essential step in designing safe and effective structural connections.

There are 3 major modes of failure in this case: 1. Shear failure 2. Tensile failure of the plate 3.…

7/8" Bolts Gusset t = 1/2" V Thickness plate Tension plate 3" A36 Steel 13" 3" P,= ? и 3" Find the Tension Capacity of this plate, which is connected to the gusset plate with 16 -7/8" bolts 4" Show A, of at least three most critical failure lines in your calculation

7/8" Bolts Gusset t = 1/2" V Thickness plate Tension plate 3" A36 Steel 13" 3" P,= ? и 3" Find the Tension Capacity of this plate, which is connected to the gusset plate with 16 -7/8" bolts 4" Show A, of at least three most critical failure lines in your calculation

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

### Tension Capacity Determination of an A36 Steel Plate

#### Diagram Overview

The diagram illustrates a tension plate made of A36 steel, connected to a gusset plate. The connection is established using 16 bolts, each with a diameter of 7/8 inch. The diagram specifies the following key dimensions of the tension plate and bolt arrangement:

- **Plate Thickness:** \( t = \frac{1}{2} \) inch
- **Total Plate Length:** 13 inches
- **Vertical Bolt Spacing:**
- Top and bottom margins: 2 inches each
- In between the bolts: 3 inches each

- **Horizontal Bolt Spacing:**
- Between each bolt: 4 inches

#### Analysis Objective

The objective is to determine the tension capacity (\( P_u \)) of the steel plate when subjected to loads. The capacity should be calculated by considering at least three critical failure lines using the net area (\( A_n \)).

#### Calculative Approach

1. **Determine Potential Failure Lines:** Identify possible paths through which failure might occur across the bolt holes.

2. **Calculate Net Area (\( A_n \)) for Each Critical Line:** Compute the effective net area by considering the reduction in area due to bolt holes along potential failure paths.

3. **Assess Tension Capacity (\( P_u \)):** Use the obtained net areas to determine the ultimate tensile capacity of the plate.

This analysis is fundamental for ensuring the structural integrity of connections under tensile loading. Calculating the tension capacity is an essential step in designing safe and effective structural connections.

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