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Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of?
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Calculate the torsional stiffness of a torsional-helical spring with 4...
Torsional Stiffness Calculation of Torsional-Helical Spring
To calculate the torsional stiffness of a torsional-helical spring, we need to consider the geometric properties of the spring as well as the material properties of the wire.
Geometric Properties:
- Number of coils (N) = 4
- Inner diameter (D) = 11
- Wire diameter (d) = 1
Material Properties:
- Modulus of elasticity (E) for spring steel
Formula for Torsional Stiffness:
The torsional stiffness (k) of a torsional spring can be calculated using the formula:
\[ k = \frac{Gd^4}{32D^3N} \]
Where:
- G = Shear modulus of the material
- d = Wire diameter
- D = Mean coil diameter
- N = Number of coils
Calculations:
Given that the inner diameter D = 11 and wire diameter d = 1, we can calculate the mean coil diameter (D) by adding the wire diameter to the inner diameter and dividing by 2:
\[ D = \frac{11+1}{2} = 6 \, mm \]
Now we need to determine the shear modulus of the material (G) for spring steel, which is typically around 80 GPa.
Plugging in the values into the formula, we get:
\[ k = \frac{80 \times (1)^4}{32 \times (6)^3 \times 4} = \frac{80}{4608} = 0.01736 \, Nm/deg \]
Therefore, the torsional stiffness of the torsional-helical spring with 4 coils is 0.01736 Nm/deg.
To calculate the torsional stiffness of a torsional-helical spring, we need to consider the geometric properties of the spring as well as the material properties of the wire.
Geometric Properties:
- Number of coils (N) = 4
- Inner diameter (D) = 11
- Wire diameter (d) = 1
Material Properties:
- Modulus of elasticity (E) for spring steel
Formula for Torsional Stiffness:
The torsional stiffness (k) of a torsional spring can be calculated using the formula:
\[ k = \frac{Gd^4}{32D^3N} \]
Where:
- G = Shear modulus of the material
- d = Wire diameter
- D = Mean coil diameter
- N = Number of coils
Calculations:
Given that the inner diameter D = 11 and wire diameter d = 1, we can calculate the mean coil diameter (D) by adding the wire diameter to the inner diameter and dividing by 2:
\[ D = \frac{11+1}{2} = 6 \, mm \]
Now we need to determine the shear modulus of the material (G) for spring steel, which is typically around 80 GPa.
Plugging in the values into the formula, we get:
\[ k = \frac{80 \times (1)^4}{32 \times (6)^3 \times 4} = \frac{80}{4608} = 0.01736 \, Nm/deg \]
Therefore, the torsional stiffness of the torsional-helical spring with 4 coils is 0.01736 Nm/deg.
Community Answer
Calculate the torsional stiffness of a torsional-helical spring with 4...
This is hole of question Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of 207 GPa. Express your answer in N.m (= N.m/rad).The another questions are 2)Compute the spring rate (stiffness) of a spring made of spring wire (G = 79.3 GPa) with a shear strength of 640 MPa. The wire diameter is 1.3 mm, outside diameter is 12.8 mm and it has 5 active coils. Please enter your answer in kN/m3)For a steel helical spring, the wire diameter is 6.3 and the inner diameter is 41. The spring has 26 active coils. Calculate the maximum compression force in N such that the shear stress does not exceed 780 MPa. Remember to use "Göhner’s correction factor" in calculation of the maximum forceCan any one help me to solve it without chat gbt or google?
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Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of?
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Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of? 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 Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of?.
Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of? 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 Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the torsional stiffness of a torsional-helical spring with 4 coils, with an inner diameter of 11, wire diameter of 1. The wire is made of spring steel with a modulus of elasticity of?.
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