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Equivalent Bending Moment Formula

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The Equivalent Bending Moment is a bending moment which, acting alone, would produce in a circular shaft a normal stress . Check FAQs

M eq = M b + \sqrt{{M b}^{2} + {T s}^{2}}

M_eq - Equivalent Bending Moment?M_b - Bending Moment?T_s - Torque Exerted on Shaft?

Equivalent Bending Moment Example

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

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

Here is how the Equivalent Bending Moment equation looks like.

125.8629 = 53 + \sqrt{53^{2} + 50^{2}}

125.8629N*m = 53N*m + \sqrt{{53N*m}^{2} + {50N*m}^{2}}

125.8629 = 53 + \sqrt{53^{2} + 50^{2}}

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Equivalent Bending Moment Solution

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

FIRST Step Consider the formula

M eq = M b + \sqrt{{M b}^{2} + {T s}^{2}}

Next Step Substitute values of Variables

∴

M eq = 53N*m + \sqrt{{53N*m}^{2} + {50N*m}^{2}}

Next Step Prepare to Evaluate

∴

M eq = 53 + \sqrt{53^{2} + 50^{2}}

Next Step Evaluate

∴

M eq = 125.862884927787N*m

LAST Step Rounding Answer

∴

M eq = 125.8629N*m

Equivalent Bending Moment Formula Elements

Variables

Functions

Equivalent Bending Moment

The Equivalent Bending Moment is a bending moment which, acting alone, would produce in a circular shaft a normal stress .

Symbol: M_eq

Measurement: Bending MomentUnit: N*m

Note: Value can be positive or negative.

Formulas to find Equivalent Bending Moment

Bending Moment

The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Torque Exerted on Shaft

Torque Exerted on Shaft is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: T_s

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Shaft

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 Stress and Strain category

Go Elongation Circular Tapered Bar

Δ c = \frac{4 \cdot W load \cdot L bar}{π \cdot D 1 \cdot D 2 \cdot e}

Go Moment of Inertia for Hollow Circular Shaft

J h = \frac{π}{32} \cdot ({d ho}^{4} - {d hi}^{4})

Go Moment of Inertia about Polar Axis

J = \frac{π \cdot {d s}^{4}}{32}

Go Elongation of Prismatic Bar due to its Own Weight

Δ p = \frac{W load \cdot L bar}{2 \cdot A \cdot e}

How to Evaluate Equivalent Bending Moment?

Equivalent Bending Moment evaluator uses Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)) to evaluate the Equivalent Bending Moment, The Equivalent Bending Moment formula is defined as a measure of the total bending effect on a beam or a structural member, considering both the bending moment and the torsional moment, which helps in determining the maximum stress and deformation of the member under various loads. Equivalent Bending Moment is denoted by M_eq symbol.

How to evaluate Equivalent Bending Moment using this online evaluator? To use this online evaluator for Equivalent Bending Moment, enter Bending Moment (M_b) & Torque Exerted on Shaft (T_s) and hit the calculate button.

FAQs on Equivalent Bending Moment

What is the formula to find Equivalent Bending Moment?

The formula of Equivalent Bending Moment is expressed as Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)). Here is an example- 125.8629 = 53+sqrt(53^(2)+50^(2)).

How to calculate Equivalent Bending Moment?

With Bending Moment (M_b) & Torque Exerted on Shaft (T_s) we can find Equivalent Bending Moment using the formula - Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Shaft^(2)). This formula also uses Square Root (sqrt) function(s).

Can the Equivalent Bending Moment be negative?

Yes, the Equivalent Bending Moment, measured in Bending Moment can be negative.

Which unit is used to measure Equivalent Bending Moment?

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

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