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A circular beam of 50mm diameter and 200mm long is welded to a steel plate it supporta vertical download 10KN at its free end determine the weld size assuming strength of the welded to be 94MPA?
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A circular beam of 50mm diameter and 200mm long is welded to a steel p...
Introduction
To determine the weld size for a circular beam welded to a steel plate under a vertical load, we will consider the applied load, material strength, and geometry of the components.
Given Data
- Diameter of the beam: 50 mm
- Length of the beam: 200 mm
- Vertical load at free end: 10 kN
- Strength of the weld: 94 MPa
Calculating the Required Weld Size
1. Calculate the Moment at the Weld
- The moment (M) at the weld due to the vertical load can be calculated using:
- M = Load (F) x Length (L)
- M = 10 kN x 200 mm = 10,000 N x 0.2 m = 2000 Nm
2. Determine the Effective Length of the Weld
- The effective length (L_w) of the weld can be approximated as the circumference of the beam:
- L_w = π x Diameter = π x 50 mm ≈ 157.08 mm
3. Calculate the Required Weld Strength
- Required weld strength (τ) can be calculated using:
- τ = M / L_w
- Convert L_w to meters: 157.08 mm = 0.15708 m
- τ = 2000 Nm / 0.15708 m ≈ 12,740 N/m
4. Determine the Weld Size (S)
- The weld size can be calculated using the formula:
- S = τ / Strength of the weld
- S = 12,740 N/m / 94 MPa = 0.135 mm
Conclusion
The required weld size to support the 10 kN load on the circular beam is approximately 0.135 mm. However, it is common practice to round up the weld size to ensure safety, likely to a minimum of 5 mm in practical applications. Always consider factors such as welding technique and safety factors in the design process.
To determine the weld size for a circular beam welded to a steel plate under a vertical load, we will consider the applied load, material strength, and geometry of the components.
Given Data
- Diameter of the beam: 50 mm
- Length of the beam: 200 mm
- Vertical load at free end: 10 kN
- Strength of the weld: 94 MPa
Calculating the Required Weld Size
1. Calculate the Moment at the Weld
- The moment (M) at the weld due to the vertical load can be calculated using:
- M = Load (F) x Length (L)
- M = 10 kN x 200 mm = 10,000 N x 0.2 m = 2000 Nm
2. Determine the Effective Length of the Weld
- The effective length (L_w) of the weld can be approximated as the circumference of the beam:
- L_w = π x Diameter = π x 50 mm ≈ 157.08 mm
3. Calculate the Required Weld Strength
- Required weld strength (τ) can be calculated using:
- τ = M / L_w
- Convert L_w to meters: 157.08 mm = 0.15708 m
- τ = 2000 Nm / 0.15708 m ≈ 12,740 N/m
4. Determine the Weld Size (S)
- The weld size can be calculated using the formula:
- S = τ / Strength of the weld
- S = 12,740 N/m / 94 MPa = 0.135 mm
Conclusion
The required weld size to support the 10 kN load on the circular beam is approximately 0.135 mm. However, it is common practice to round up the weld size to ensure safety, likely to a minimum of 5 mm in practical applications. Always consider factors such as welding technique and safety factors in the design process.
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A circular beam of 50mm diameter and 200mm long is welded to a steel plate it supporta vertical download 10KN at its free end determine the weld size assuming strength of the welded to be 94MPA?
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A circular beam of 50mm diameter and 200mm long is welded to a steel plate it supporta vertical download 10KN at its free end determine the weld size assuming strength of the welded to be 94MPA? 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 A circular beam of 50mm diameter and 200mm long is welded to a steel plate it supporta vertical download 10KN at its free end determine the weld size assuming strength of the welded to be 94MPA? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular beam of 50mm diameter and 200mm long is welded to a steel plate it supporta vertical download 10KN at its free end determine the weld size assuming strength of the welded to be 94MPA?.
A circular beam of 50mm diameter and 200mm long is welded to a steel plate it supporta vertical download 10KN at its free end determine the weld size assuming strength of the welded to be 94MPA? 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 A circular beam of 50mm diameter and 200mm long is welded to a steel plate it supporta vertical download 10KN at its free end determine the weld size assuming strength of the welded to be 94MPA? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular beam of 50mm diameter and 200mm long is welded to a steel plate it supporta vertical download 10KN at its free end determine the weld size assuming strength of the welded to be 94MPA?.
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