To find the bearing pressure, we can use the following formula:

$\text{Bearing Pressure} = \frac{\text{Load}}{\text{Bearing Area}}$

Step 1: Determine the Bearing Area

The bearing area is the product of the bearing's length (L) and the shaft diameter (D). Since the length-to-diameter (L/D) ratio is provided, we can calculate the length as:

$L = \text{L/D} \times D$

Given that:

• Diameter (D) = 3/4 inches = 0.75 inches
• L/D ratio = 2.5

$L = 2.5 \times 0.75 = 1.875 \, \text{inches}$

Step 2: Calculate the Bearing Area

The bearing area (A) is the product of the length and the diameter:

$A = L \times D = 1.875 \, \text{inches} \times 0.75 \, \text{inches} = 1.40625 \, \text{square inches}$

Step 3: Calculate the Bearing Pressure

Now, we can calculate the bearing pressure:

$\text{Bearing Pressure} = \frac{400 \, \text{lb}}{1.40625 \, \text{square inches}} = 284.21 \, \text{psi}$

Thus, the bearing pressure is approximately 284.21 psi.

Would you like further clarification on any part of this?

Here are some related questions:

1. What are common L/D ratios for different applications?
2. How does bearing pressure affect bearing wear?
3. What materials are suitable for sleeve bearings in high-pressure situations?
4. How can increasing the bearing length affect the load capacity?
5. What are the effects of misalignment in sleeve bearings?

Tip: Maintaining proper lubrication in sleeve bearings is essential for minimizing wear and extending their life.