QUESTION IWO Show the construction of \( \mathrm{M} 39 \times 3 \times 100 \) of a bolt, nut and stud given the following parameters (j) Width Across flat \( =60 \mathrm{~mm} \) (ii) Height of bolt head \( =25 \mathrm{~mm} \) (iii) Radius under head \( =2 \mathrm{~mm} \) (iv)Thickness of nut \( =31 \mathrm{~mm} \). ( 15 Marks )

To construct a bolt, nut, and stud with the given parameters, we will follow a systematic approach. Let's break down the construction step by step. ### Known Parameters 1. **Width Across Flat (W)**: \( 60 \, \text{mm} \) 2. **Height of Bolt Head (H)**: \( 25 \, \text{mm} \) 3. **Radius Under Head (R)**: \( 2 \, \text{mm} \) 4. **Thickness of Nut (T)**: \( 31 \, \text{mm} \) ### Step 1: Constructing the Bolt 1. **Bolt Head**: - The bolt head is typically hexagonal. To construct the hexagonal head: - Draw a circle with a diameter equal to the width across the flat, which is \( 60 \, \text{mm} \). - Inscribe a hexagon within this circle. The distance between opposite flats of the hexagon will also be \( 60 \, \text{mm} \). - The height of the bolt head is \( 25 \, \text{mm} \). This means the height from the base of the hexagon to the top of the head should be \( 25 \, \text{mm} \). 2. **Radius Under Head**: - At the base of the hexagonal head, create a fillet with a radius of \( 2 \, \text{mm} \). This will smooth the transition from the head to the shank of the bolt. 3. **Bolt Shank**: - Extend the shank of the bolt downwards from the base of the head. The diameter of the shank is typically smaller than the width across the flat. For this example, we will assume a standard diameter (not provided in the question, but typically around \( 30 \, \text{mm} \) for a bolt of this size). - The length of the shank can be determined based on the application, but for this example, we can assume a length of \( 100 \, \text{mm} \). ### Step 2: Constructing the Nut 1. **Nut Shape**: - The nut is also typically hexagonal. Use the same width across the flat of \( 60 \, \text{mm} \) to draw the hexagon. - The thickness of the nut is \( 31 \, \text{mm} \). This means the nut will have a height of \( 31 \, \text{mm} \). ### Step 3: Constructing the Stud 1. **Stud**: - The stud is essentially a cylindrical piece that has threads on both ends. The diameter of the stud can be the same as the bolt shank. - The length of the stud can vary based on the application, but for this example, we can assume a length of \( 100 \, \text{mm} \). ### Summary of Dimensions - **Bolt**: - Head: Hexagonal, \( 60 \, \text{mm} \) across flats, \( 25 \, \text{mm} \) height, \( 2 \, \text{mm} \) radius under head. - Shank: Diameter (assumed \( 30 \, \text{mm} \)), length \( 100 \, \text{mm} \). - **Nut**: - Hexagonal, \( 60 \, \text{mm} \) across flats, thickness \( 31 \, \text{mm} \). - **Stud**: - Diameter (assumed \( 30 \, \text{mm} \)), length \( 100 \, \text{mm} \). ### Conclusion This construction provides a detailed outline for creating a bolt, nut, and stud based on the specified parameters. The dimensions can be adjusted based on specific requirements or standards in engineering design.