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The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.?
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The frame of a hacksaw. The initial Tension P in the blade should be 3...
Introduction
The design of a hacksaw frame requires careful consideration of material strength and safety factors. We will determine the dimensions of the frame's cross-section based on the given parameters.
Given Data
- Initial tension, P = 300 N
- Material: Plain Carbon Steel (30C8)
- Tensile yield strength, σ_y = 400 N/mm²
- Factor of safety (FoS) = 2.5
Calculating Allowable Stress
- Allowable stress, σ_allow = σ_y / FoS
- σ_allow = 400 N/mm² / 2.5 = 160 N/mm²
Required Cross-sectional Area
- The required cross-sectional area (A) can be calculated using:
A = P / σ_allow
- A = 300 N / 160 N/mm² = 1.875 mm²
Cross-section Dimensions
Assuming a rectangular cross-section with a depth-to-width ratio of 2:1 (depth = 2w):
- Area A = width (w) * depth (d)
- A = w * (2w) = 2w²
Setting this equal to the required area:
2w² = 1.875 mm²
Solving for Width
- w² = 1.875 mm² / 2
- w² = 0.9375 mm²
- w = sqrt(0.9375) ≈ 0.968 mm
Calculating Depth
- d = 2w = 2 * 0.968 mm ≈ 1.936 mm
Final Dimensions
- Width (w) ≈ 0.968 mm
- Depth (d) ≈ 1.936 mm
This design ensures that the hacksaw frame can safely handle the required tension while adhering to the specified factor of safety.
The design of a hacksaw frame requires careful consideration of material strength and safety factors. We will determine the dimensions of the frame's cross-section based on the given parameters.
Given Data
- Initial tension, P = 300 N
- Material: Plain Carbon Steel (30C8)
- Tensile yield strength, σ_y = 400 N/mm²
- Factor of safety (FoS) = 2.5
Calculating Allowable Stress
- Allowable stress, σ_allow = σ_y / FoS
- σ_allow = 400 N/mm² / 2.5 = 160 N/mm²
Required Cross-sectional Area
- The required cross-sectional area (A) can be calculated using:
A = P / σ_allow
- A = 300 N / 160 N/mm² = 1.875 mm²
Cross-section Dimensions
Assuming a rectangular cross-section with a depth-to-width ratio of 2:1 (depth = 2w):
- Area A = width (w) * depth (d)
- A = w * (2w) = 2w²
Setting this equal to the required area:
2w² = 1.875 mm²
Solving for Width
- w² = 1.875 mm² / 2
- w² = 0.9375 mm²
- w = sqrt(0.9375) ≈ 0.968 mm
Calculating Depth
- d = 2w = 2 * 0.968 mm ≈ 1.936 mm
Final Dimensions
- Width (w) ≈ 0.968 mm
- Depth (d) ≈ 1.936 mm
This design ensures that the hacksaw frame can safely handle the required tension while adhering to the specified factor of safety.
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The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.?
Question Description
The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.? 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 The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.?.
The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.? 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 The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.?.
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The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.?, a detailed solution for The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.? has been provided alongside types of The frame of a hacksaw. The initial Tension P in the blade should be 300N. The is made of plain carbon steel 30C8 with a tensile yield strength of 400N/mm2 and the factor of safety is 2.5. The cross section of the frame is rectangular with a ratio of depth to width as. Determine the dimension of the cross section.? theory, EduRev gives you an
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