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Two steel rods are to be connected by means of a sleeve, and two steel cotters. The rods are subjected to a tensile load of 40kN. Design the joint, using the permissible stress in tension as 60MPa, in shear as 50MPa, and in crushing as 120MPa?
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Two steel rods are to be connected by means of a sleeve, and two steel...
Design of Joint for Steel Rods
To design the joint connecting two steel rods with a sleeve and cotters, we must ensure the joint can withstand the tensile load while adhering to the permissible stress limits.
1. Load and Stress Analysis
- Applied Load: 40 kN (Tensile Load)
- Permissible Stresses:
- Tension: 60 MPa
- Shear: 50 MPa
- Crushing: 120 MPa
2. Determining Rod Diameter
- Tensile Stress Calculation:
- Area (A) = Load / Permissible Tension Stress
- A = 40,000 N / 60 MPa = 0.6667 cm²
- Diameter Calculation:
- A = (π/4) * d²
- Solve for d: d = √(4A/π) = √(4 * 0.6667 cm² / π) ≈ 0.291 cm or 29.1 mm (rounded to standard size)
3. Cotter Design
- Shear Stress Calculation:
- Area subjected to shear = d * t (where t is the thickness of the cotter)
- Ensure shear stress does not exceed 50 MPa.
- Cotter Size:
- Assuming a cotter thickness of 10 mm, calculate required diameter to satisfy shear criteria.
4. Sleeve Design
- Crushing of Sleeve:
- Sleeve must withstand the crushing load from the rods.
- Crushing Area:
- Area required = Load / Permissible Crushing Stress.
- Ensure the outer diameter of the sleeve is sufficient to prevent crushing.
5. Finalizing Dimensions
- Confirm all calculated dimensions meet the permissible stress criteria.
- Choose standard sizes that exceed the minimum calculated values for safety.
By following these steps, the joint can be effectively designed to ensure safety and reliability under the specified load conditions.
To design the joint connecting two steel rods with a sleeve and cotters, we must ensure the joint can withstand the tensile load while adhering to the permissible stress limits.
1. Load and Stress Analysis
- Applied Load: 40 kN (Tensile Load)
- Permissible Stresses:
- Tension: 60 MPa
- Shear: 50 MPa
- Crushing: 120 MPa
2. Determining Rod Diameter
- Tensile Stress Calculation:
- Area (A) = Load / Permissible Tension Stress
- A = 40,000 N / 60 MPa = 0.6667 cm²
- Diameter Calculation:
- A = (π/4) * d²
- Solve for d: d = √(4A/π) = √(4 * 0.6667 cm² / π) ≈ 0.291 cm or 29.1 mm (rounded to standard size)
3. Cotter Design
- Shear Stress Calculation:
- Area subjected to shear = d * t (where t is the thickness of the cotter)
- Ensure shear stress does not exceed 50 MPa.
- Cotter Size:
- Assuming a cotter thickness of 10 mm, calculate required diameter to satisfy shear criteria.
4. Sleeve Design
- Crushing of Sleeve:
- Sleeve must withstand the crushing load from the rods.
- Crushing Area:
- Area required = Load / Permissible Crushing Stress.
- Ensure the outer diameter of the sleeve is sufficient to prevent crushing.
5. Finalizing Dimensions
- Confirm all calculated dimensions meet the permissible stress criteria.
- Choose standard sizes that exceed the minimum calculated values for safety.
By following these steps, the joint can be effectively designed to ensure safety and reliability under the specified load conditions.
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Two steel rods are to be connected by means of a sleeve, and two steel cotters. The rods are subjected to a tensile load of 40kN. Design the joint, using the permissible stress in tension as 60MPa, in shear as 50MPa, and in crushing as 120MPa?
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Two steel rods are to be connected by means of a sleeve, and two steel cotters. The rods are subjected to a tensile load of 40kN. Design the joint, using the permissible stress in tension as 60MPa, in shear as 50MPa, and in crushing as 120MPa? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two steel rods are to be connected by means of a sleeve, and two steel cotters. The rods are subjected to a tensile load of 40kN. Design the joint, using the permissible stress in tension as 60MPa, in shear as 50MPa, and in crushing as 120MPa? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two steel rods are to be connected by means of a sleeve, and two steel cotters. The rods are subjected to a tensile load of 40kN. Design the joint, using the permissible stress in tension as 60MPa, in shear as 50MPa, and in crushing as 120MPa?.
Two steel rods are to be connected by means of a sleeve, and two steel cotters. The rods are subjected to a tensile load of 40kN. Design the joint, using the permissible stress in tension as 60MPa, in shear as 50MPa, and in crushing as 120MPa? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Two steel rods are to be connected by means of a sleeve, and two steel cotters. The rods are subjected to a tensile load of 40kN. Design the joint, using the permissible stress in tension as 60MPa, in shear as 50MPa, and in crushing as 120MPa? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two steel rods are to be connected by means of a sleeve, and two steel cotters. The rods are subjected to a tensile load of 40kN. Design the joint, using the permissible stress in tension as 60MPa, in shear as 50MPa, and in crushing as 120MPa?.
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