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Find the torque required to raise the load of 15kN and mean diameter of triple threaded screw being 46mm. Also given pitch=8mm and coefficient of friction is 0.15.
- a)11831.06N-mm
- b)11813.06N-mm
- c)12811.06N-mm
- d)None of the listed
Correct answer is option 'A'. Can you explain this answer?
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Find the torque required to raise the load of 15kN and mean diameter o...
Explanation: tanἀ=l/πd or ἀ=9.429’ as l=3p. tan Ǿ=0.15 or Ǿ=8.531’. M=W x d x tan (Ǿ+ἀ)/2.
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Find the torque required to raise the load of 15kN and mean diameter o...
Torque Required to Raise the Load:
To calculate the torque required to raise the load, we need to consider the pitch of the screw, the coefficient of friction, and the load itself.
Given:
Load = 15 kN
Mean Diameter of Triple Threaded Screw (d) = 46 mm
Pitch (P) = 8 mm
Coefficient of Friction (µ) = 0.15
Calculating the Effective Diameter:
The effective diameter (de) of a triple-threaded screw can be calculated using the formula:
de = d - (2/3) * P
Substituting the given values:
de = 46 mm - (2/3) * 8 mm
de = 46 mm - 16/3 mm
de = 46 mm - 5.33 mm
de = 40.67 mm
Calculating the Lead Angle:
The lead angle (α) can be calculated using the formula:
tan α = P / (π * de)
Substituting the given values:
tan α = 8 mm / (π * 40.67 mm)
tan α = 8 mm / 128.04 mm
tan α = 0.0625
Using inverse tangent (tan^-1) function, we can find the value of α:
α = tan^-1(0.0625)
α ≈ 3.57 degrees
Calculating the Coefficient of Friction:
The coefficient of friction (µ) can be used to calculate the frictional force (Ff) acting on the screw. The formula for frictional force is:
Ff = µ * Load
Substituting the given values:
Ff = 0.15 * 15 kN
Ff = 2.25 kN
Calculating the Torque:
The torque (T) required to raise the load can be calculated using the formula:
T = (Ff * de) / 2
Substituting the values calculated above:
T = (2.25 kN * 40.67 mm) / 2
T = 91.66 kN-mm
T ≈ 11831.06 N-mm
Therefore, the torque required to raise the load of 15 kN with a mean diameter of 46 mm in a triple-threaded screw with a pitch of 8 mm and a coefficient of friction of 0.15 is approximately 11831.06 N-mm.
To calculate the torque required to raise the load, we need to consider the pitch of the screw, the coefficient of friction, and the load itself.
Given:
Load = 15 kN
Mean Diameter of Triple Threaded Screw (d) = 46 mm
Pitch (P) = 8 mm
Coefficient of Friction (µ) = 0.15
Calculating the Effective Diameter:
The effective diameter (de) of a triple-threaded screw can be calculated using the formula:
de = d - (2/3) * P
Substituting the given values:
de = 46 mm - (2/3) * 8 mm
de = 46 mm - 16/3 mm
de = 46 mm - 5.33 mm
de = 40.67 mm
Calculating the Lead Angle:
The lead angle (α) can be calculated using the formula:
tan α = P / (π * de)
Substituting the given values:
tan α = 8 mm / (π * 40.67 mm)
tan α = 8 mm / 128.04 mm
tan α = 0.0625
Using inverse tangent (tan^-1) function, we can find the value of α:
α = tan^-1(0.0625)
α ≈ 3.57 degrees
Calculating the Coefficient of Friction:
The coefficient of friction (µ) can be used to calculate the frictional force (Ff) acting on the screw. The formula for frictional force is:
Ff = µ * Load
Substituting the given values:
Ff = 0.15 * 15 kN
Ff = 2.25 kN
Calculating the Torque:
The torque (T) required to raise the load can be calculated using the formula:
T = (Ff * de) / 2
Substituting the values calculated above:
T = (2.25 kN * 40.67 mm) / 2
T = 91.66 kN-mm
T ≈ 11831.06 N-mm
Therefore, the torque required to raise the load of 15 kN with a mean diameter of 46 mm in a triple-threaded screw with a pitch of 8 mm and a coefficient of friction of 0.15 is approximately 11831.06 N-mm.
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Find the torque required to raise the load of 15kN and mean diameter of triple threaded screw being 46mm. Also given pitch=8mm and coefficient of friction is 0.15.a)11831.06N-mmb)11813.06N-mmc)12811.06N-mmd)None of the listedCorrect answer is option 'A'. Can you explain this answer?
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