A lever-loaded safety valve is 70 mm in diameter and is to be designed for a boiler to blow off at a pressure of 1 N/mm² gauge. The distance from the fulcrum to the weight of the lever is 880 mm, and the distance between the fulcrum and the pin connecting the valve spindle links to the lever is 80 mm.

Design a suitable lever of rectangular cross-section using the following permissible stresses:
- Tensile stress: 70 MPa
- Shear stress: 50 MPa
- Bearing pressure intensity: 25 N/mm²

Question

29-04-2024
Engineering

College

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A lever-loaded safety valve is 70 mm in diameter and is to be designed for a boiler to blow off at a pressure of 1 N/mm² gauge. The distance from the fulcrum to the weight of the lever is 880 mm, and the distance between the fulcrum and the pin connecting the valve spindle links to the lever is 80 mm.

Design a suitable lever of rectangular cross-section using the following permissible stresses:
- Tensile stress: 70 MPa
- Shear stress: 50 MPa
- Bearing pressure intensity: 25 N/mm²

Answer :

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harshtri1007 harshtri1007 · Answer 1 · 2024-01-24T19:06:07-05:00

Final answer:

To design a suitable lever of rectangular cross-section, we need to calculate the force exerted by the lever and ensure it stays within the permissible stresses.

Explanation:

To design a suitable lever of rectangular cross-section, we need to calculate the force exerted by the lever and ensure it stays within the permissible stresses.

First, let's calculate the force exerted by the lever. The force is given by the formula F = W / d, where W is the weight and d is the distance between the fulcrum and the weight. In this case, the weight is the force exerted by the valve, which can be calculated as F = πr²P, where r is the radius and P is the pressure.

Next, let's check if the calculated force is within the permissible stresses. We can calculate the tensile stress using the formula σ = F / A, where A is the cross-sectional area of the lever. If the tensile stress is less than the permissible tensile stress, then the lever design is suitable.