To solve the given assignment problem, let's proceed step by step. Here's the breakdown:

Problem 1:

a) Calculate the gross area of the section of the plate

• The gross area is the total cross-sectional area of the plate without any deductions for holes.
• Given dimensions: $200 \, \text{mm} \times 10 \, \text{mm}$ $A_g = \text{width} \times \text{thickness} = 200 \, \text{mm} \times 10 \, \text{mm}$

b) Calculate the net area of the bolted section of the plate

The net area is calculated by deducting the areas of the bolt holes from the gross area. For the deduction:

• Bolt hole diameter: $16 \, \text{mm}$
• Allowance for clearance: $2 \, \text{mm}$
• Effective diameter of hole: $16 + 2 = 18 \, \text{mm}$
• Total thickness: $t = 10 \, \text{mm}$
• Considering staggered pattern and spacing factors from the diagram.

Using the equation for net area: $A_n = A_g - \left( n_h \cdot d_h \cdot t \right) + \text{stagger compensation}$ Where:

• $n_h$ = Number of holes in the critical section
• $d_h$ = Effective hole diameter
• Stagger compensation = $\sum \frac{s^2}{4p}$ (calculated per diagram)

c) Determine the design tensile strength of the plate

The tensile strength is determined using the formula: $P_t = A_n \cdot f_y / \gamma_m$ Where:

• $f_y = 275 \, \text{MPa}$ (for S-275 steel)
• $\gamma_m = \text{Partial safety factor (usually 1.1)}$

Would you like me to calculate these explicitly with full details or provide guidance on using standard codes? Let me know!