Joint Efficiency Calculation Explained

This question asks us to determine the joint efficiency based on the provided strengths of a joint and the original plate.

Understanding Joint Efficiency

Joint efficiency is a measure used in engineering, particularly in the context of bolted or riveted joints, to describe how effectively the joint transmits load compared to the solid plate. It's essentially a ratio of the strength of the joint to the strength of the solid plate, usually expressed as a percentage.

Formula for Joint Efficiency

The formula to calculate joint efficiency is:

$$ \text{Joint Efficiency} = \left( \frac{\text{Strength of Joint}}{\text{Original Strength of Plate}} \right) \times 100\% $$

Given Values

• Strength of joint per pitch length = 2556 kg
• Original strength of plate per pitch length = 4260 kg

Step-by-Step Calculation

To find the joint efficiency, we plug the given values into the formula:

1. Divide the strength of the joint by the original strength of the plate:

   $$ \frac{2556 \text{ kg}}{4260 \text{ kg}} $$

   Calculation: $$ \frac{2556}{4260} = 0.6 $$

2. Convert the ratio to a percentage:

   Multiply the result by 100%:

   $$ 0.6 \times 100\% = 60\% $$

Result

The calculated joint efficiency is 60%. This value represents that the joint is 60% as strong as the original solid plate per pitch length.