### Bell-Crank Mechanism AnalysisThe bell-crank mechanism exhibited is in equilibrium under the application of a load \( F_1 = 10 \, \text{kN} \) exerted at point A. The parameters for the mechanism are:- \( a = 300 \, \text{mm} \)- \( b = 110 \, \text{mm} \) - \( c = 80 \, \text{mm} \)- \( \theta = 70^\circ \)The pin at point B has:- Diameter \( d = 12 \, \text{mm} \)- Ultimate shear strength = 450 MPaBoth the bell crank and the support bracket exhibit an ultimate bearing strength of 575 MPa.#### Task:Determine the following factors of safety:1. **(a)** The factor of safety in pin B with respect to ultimate shear strength.2. **(b)** The factor of safety in the bell crank at pin B with respect to ultimate bearing strength.3. **(c)** The factor of safety in the support bracket with respect to ultimate bearing strength.**Graphical Explanation:**The problem includes two illustrations:1. **Mechanism Diagram:** - A schematic shows the bell-crank mechanism with forces \( F_1 \) and \( F_2 \) and its dimensions \( a \), \( b \), and \( c \). - The angles \(\theta = 70^\circ\) and \(30^\circ\) are indicated to show the directions of forces with respect to different segments of the mechanism. 2. **Connection Detail:** - The diagram zooms in on point B, detailing how the pin is mounted and connected between the brackets. - It shows the pin having a diameter \( d = 12 \, \text{mm} \) and specifies that the connection involves an 8 mm thickness and two 6 mm brackets making the connection.Below the problem statement and diagrams, text boxes are provided for entering the calculated factors of safety for each of the criteria above. #### Answers:1. **(a) Factor of Safety in Pin B with Respect to Shear Strength:** - **Input box for FS_B (shear strength):** This box will be used to enter the calculated factor of safety for the shearing force on pin B. 2. **(b

The force applied, F₁ = 10 kNThe dimensions, a = 300 mm, b = 110 mm, c = 80 mm, and θ = 70ᵒThe…

The bell-crank mechanism shown is in equilibrium for an applied load of F₁ = 10 kN applied at A. Assume a = 300 mm, b = 110 mm, c = 80 mm, and 0= 70°. The pin at B has a diameter of d = 12 mm and an ultimate shear strength of 450 MPa. The bell crank and the support bracket each have an ultimate bearing strength of 575 MPa. Determine (a) the factor of safety in pin B with respect to the ultimate shear strength. (b) the factor of safety of the bell crank at pin B with respect to the ultimate bearing strength. (c) the factor of safety in the support bracket with respect to the ultimate bearing strength. F₁ (1) Answers: (a) FSB= (b) FSg= (c) FSB = i Bracket- BI B →-8 mm 6 mm b 5 mm Connection detail (2) 30° F₂

The bell-crank mechanism shown is in equilibrium for an applied load of F₁ = 10 kN applied at A. Assume a = 300 mm, b = 110 mm, c = 80 mm, and 0= 70°. The pin at B has a diameter of d = 12 mm and an ultimate shear strength of 450 MPa. The bell crank and the support bracket each have an ultimate bearing strength of 575 MPa. Determine (a) the factor of safety in pin B with respect to the ultimate shear strength. (b) the factor of safety of the bell crank at pin B with respect to the ultimate bearing strength. (c) the factor of safety in the support bracket with respect to the ultimate bearing strength. F₁ (1) Answers: (a) FSB= (b) FSg= (c) FSB = i Bracket- BI B →-8 mm 6 mm b 5 mm Connection detail (2) 30° F₂

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

### Bell-Crank Mechanism Analysis
The bell-crank mechanism exhibited is in equilibrium under the application of a load \( F_1 = 10 \, \text{kN} \) exerted at point A. The parameters for the mechanism are:

- \( a = 300 \, \text{mm} \)
- \( b = 110 \, \text{mm} \)
- \( c = 80 \, \text{mm} \)
- \( \theta = 70^\circ \)

The pin at point B has:
- Diameter \( d = 12 \, \text{mm} \)
- Ultimate shear strength = 450 MPa

Both the bell crank and the support bracket exhibit an ultimate bearing strength of 575 MPa.

#### Task:
Determine the following factors of safety:
1. **(a)** The factor of safety in pin B with respect to ultimate shear strength.
2. **(b)** The factor of safety in the bell crank at pin B with respect to ultimate bearing strength.
3. **(c)** The factor of safety in the support bracket with respect to ultimate bearing strength.

**Graphical Explanation:**
The problem includes two illustrations:
1. **Mechanism Diagram:**
- A schematic shows the bell-crank mechanism with forces \( F_1 \) and \( F_2 \) and its dimensions \( a \), \( b \), and \( c \).
- The angles \(\theta = 70^\circ\) and \(30^\circ\) are indicated to show the directions of forces with respect to different segments of the mechanism.

2. **Connection Detail:**
- The diagram zooms in on point B, detailing how the pin is mounted and connected between the brackets.
- It shows the pin having a diameter \( d = 12 \, \text{mm} \) and specifies that the connection involves an 8 mm thickness and two 6 mm brackets making the connection.

Below the problem statement and diagrams, text boxes are provided for entering the calculated factors of safety for each of the criteria above.

#### Answers:

1. **(a) Factor of Safety in Pin B with Respect to Shear Strength:**
- **Input box for FS_B (shear strength):** This box will be used to enter the calculated factor of safety for the shearing force on pin B.

2. **(b

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