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Equivalent Bending Moment for Solid Shaft Formula

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Equivalent Bending Moment for Solid Shaftt refers to a simplification method used in engineering to analyze the bending stresses experienced by a solid shaft under torsional loading conditions. Check FAQs

Me solidshaft = (\frac{1}{2}) \cdot (M m + \sqrt{{M m}^{2} + {T m}^{2}})

Me_solidshaft - Equivalent Bending Moment for Solid Shaft?M_m - Maximum Bending Moment?T_m - Maximum Torque for Agitator?

Equivalent Bending Moment for Solid Shaft Example

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Here is how the Equivalent Bending Moment for Solid Shaft equation looks like with Values.

Here is how the Equivalent Bending Moment for Solid Shaft equation looks like with Units.

Here is how the Equivalent Bending Moment for Solid Shaft equation looks like.

34160.2914 = (\frac{1}{2}) \cdot (34000 + \sqrt{34000^{2} + 4680^{2}})

34160.2914N*mm = (\frac{1}{2}) \cdot (34000N*mm + \sqrt{{34000N*mm}^{2} + {4680N*mm}^{2}})

34160.2914 = (\frac{1}{2}) \cdot (34000 + \sqrt{34000^{2} + 4680^{2}})

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Equivalent Bending Moment for Solid Shaft Solution

Follow our step by step solution on how to calculate Equivalent Bending Moment for Solid Shaft?

FIRST Step Consider the formula

Me solidshaft = (\frac{1}{2}) \cdot (M m + \sqrt{{M m}^{2} + {T m}^{2}})

Next Step Substitute values of Variables

∴

Me solidshaft = (\frac{1}{2}) \cdot (34000N*mm + \sqrt{{34000N*mm}^{2} + {4680N*mm}^{2}})

Next Step Convert Units

∴

Me solidshaft = (\frac{1}{2}) \cdot (34N*m + \sqrt{{34N*m}^{2} + {4.68N*m}^{2}})

Next Step Prepare to Evaluate

∴

Me solidshaft = (\frac{1}{2}) \cdot (34 + \sqrt{34^{2} + {4.68}^{2}})

Next Step Evaluate

∴

Me solidshaft = 34.1602913728177N*m

Next Step Convert to Output's Unit

∴

Me solidshaft = 34160.2913728176N*mm

LAST Step Rounding Answer

∴

Me solidshaft = 34160.2914N*mm

Equivalent Bending Moment for Solid Shaft Formula Elements

Variables

Functions

Equivalent Bending Moment for Solid Shaft

Equivalent Bending Moment for Solid Shaftt refers to a simplification method used in engineering to analyze the bending stresses experienced by a solid shaft under torsional loading conditions.

Symbol: Me_solidshaft

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Equivalent Bending Moment for Solid Shaft

Maximum Bending Moment

Maximum Bending Moment is the algebraic sum of the moments caused by the internal forces on the shaft and it causes the shaft to rotate.

Symbol: M_m

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Maximum Bending Moment

Maximum Torque for Agitator

Maximum Torque for Agitator refers to the highest amount of rotational force it can generate, typically measured in Newton-meters (Nm), to effectively mix or agitate a given substance or material.

Symbol: T_m

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Maximum Torque for Agitator

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Design of Agitation System Components category

Go Equivalent Twisting Moment for Solid Shaft

Te solidshaft = (\sqrt{({M m}^{2}) + ({T m}^{2})})

Go Equivalent Twisting Moment for Hollow Shaft

Te hollowshaft = (\frac{π}{16}) \cdot (f b) \cdot ({d o}^{3}) \cdot (1 - k^{4})

Go Equivalent Bending Moment for Hollow Shaft

Me hollowshaft = (\frac{π}{32}) \cdot (f b) \cdot ({d o}^{3}) \cdot (1 - k^{4})

Go Diameter of Solid Shaft based on Equivalent Twisting Moment

Diameter solidshaft = {(T e \cdot \frac{16}{π} \cdot \frac{1}{f s})}^{\frac{1}{3}}

How to Evaluate Equivalent Bending Moment for Solid Shaft?

Equivalent Bending Moment for Solid Shaft evaluator uses Equivalent Bending Moment for Solid Shaft = (1/2)*(Maximum Bending Moment+sqrt(Maximum Bending Moment^2+Maximum Torque for Agitator^2)) to evaluate the Equivalent Bending Moment for Solid Shaft, The Equivalent Bending Moment for Solid Shaft formula is defined as that alone produces maximum normal stress equal to the maximum normal stress produce due to combined bending and torsion. Equivalent Bending Moment for Solid Shaft is denoted by Me_solidshaft symbol.

How to evaluate Equivalent Bending Moment for Solid Shaft using this online evaluator? To use this online evaluator for Equivalent Bending Moment for Solid Shaft, enter Maximum Bending Moment (M_m) & Maximum Torque for Agitator (T_m) and hit the calculate button.

FAQs on Equivalent Bending Moment for Solid Shaft

What is the formula to find Equivalent Bending Moment for Solid Shaft?

The formula of Equivalent Bending Moment for Solid Shaft is expressed as Equivalent Bending Moment for Solid Shaft = (1/2)*(Maximum Bending Moment+sqrt(Maximum Bending Moment^2+Maximum Torque for Agitator^2)). Here is an example- 3.4E+7 = (1/2)*(34+sqrt(34^2+4.68^2)).

How to calculate Equivalent Bending Moment for Solid Shaft?

With Maximum Bending Moment (M_m) & Maximum Torque for Agitator (T_m) we can find Equivalent Bending Moment for Solid Shaft using the formula - Equivalent Bending Moment for Solid Shaft = (1/2)*(Maximum Bending Moment+sqrt(Maximum Bending Moment^2+Maximum Torque for Agitator^2)). This formula also uses Square Root (sqrt) function(s).

Can the Equivalent Bending Moment for Solid Shaft be negative?

No, the Equivalent Bending Moment for Solid Shaft, measured in Bending Moment cannot be negative.

Which unit is used to measure Equivalent Bending Moment for Solid Shaft?

Equivalent Bending Moment for Solid Shaft is usually measured using the Newton Millimeter[N*mm] for Bending Moment. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Equivalent Bending Moment for Solid Shaft can be measured.

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Equivalent Bending Moment for Solid Shaft Formula

Equivalent Bending Moment for Solid Shaft Example

Equivalent Bending Moment for Solid Shaft Solution

Equivalent Bending Moment for Solid Shaft Formula Elements

Other formulas in Design of Agitation System Components category

How to Evaluate Equivalent Bending Moment for Solid Shaft?

FAQs on Equivalent Bending Moment for Solid Shaft

Variable Name