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Bending Stress for Solid Shaft Formula

GoBending Stress for Hollow Shaft Formula

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Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Check FAQs

f b = \frac{M solidshaft}{(\frac{π}{32}) \cdot {(d solidshaft)}^{3}}

f_b - Bending Stress?M_solidshaft - Maximum Bending Moment for Solid Shaft?d_solidshaft - Diameter of Solid Shaft for Agitator?π - Archimedes' constant?

Bending Stress for Solid Shaft Example

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

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

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

175.3563 = \frac{3700}{(\frac{3.1416}{32}) \cdot {(5.99)}^{3}}

175.3563N/mm² = \frac{3700N*mm}{(\frac{3.1416}{32}) \cdot {(5.99mm)}^{3}}

175.3563 = \frac{3700}{(\frac{3.1416}{32}) \cdot {(5.99)}^{3}}

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Bending Stress for Solid Shaft Solution

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

FIRST Step Consider the formula

f b = \frac{M solidshaft}{(\frac{π}{32}) \cdot {(d solidshaft)}^{3}}

Next Step Substitute values of Variables

∴

f b = \frac{3700N*mm}{(\frac{π}{32}) \cdot {(5.99mm)}^{3}}

Next Step Substitute values of Constants

∴

f b = \frac{3700N*mm}{(\frac{3.1416}{32}) \cdot {(5.99mm)}^{3}}

Next Step Convert Units

∴

f b = \frac{3.7N*m}{(\frac{3.1416}{32}) \cdot {(0.006m)}^{3}}

Next Step Prepare to Evaluate

∴

f b = \frac{3.7}{(\frac{3.1416}{32}) \cdot {(0.006)}^{3}}

Next Step Evaluate

∴

f b = 175356295.636446Pa

Next Step Convert to Output's Unit

∴

f b = 175.356295636446N/mm²

LAST Step Rounding Answer

∴

f b = 175.3563N/mm²

Bending Stress for Solid Shaft Formula Elements

Variables

Constants

Bending Stress

Bending stress is the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued.

Symbol: f_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress

Maximum Bending Moment for Solid Shaft

Maximum Bending Moment for Solid Shaft refers to the maximum value of the internal bending moment experienced by the shaft when subjected to an external load or forces.

Symbol: M_solidshaft

Measurement: Bending MomentUnit: N*mm

Note: Value can be positive or negative.

Formulas to find Maximum Bending Moment for Solid Shaft

Diameter of Solid Shaft for Agitator

Diameter of Solid Shaft for Agitator is defined as the diameter of the hole in the iron laminations that contains the shaft.

Symbol: d_solidshaft

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Solid Shaft for Agitator

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Bending Stress

Go Bending Stress for Hollow Shaft

f b = \frac{M m}{(\frac{π}{32}) \cdot {(d o)}^{3} \cdot (1 - k^{2})}

Other formulas in Shaft Subjected to Bending Moment Only category

Go Force for Design of Shaft Based on Pure Bending

F m = \frac{T m}{0.75 \cdot h m}

Go Maximum Torque of Shaft Subjected to Bending Moment only

T m = F m \cdot (0.75 \cdot R b)

Go Maximum Bending Moment subject to Shaft

M m = l \cdot F m

Go Diameter of Solid Shaft Subjected to Maximum Bending Moment

d solidshaft = {(\frac{M solidshaft}{(\frac{π}{32}) \cdot f b})}^{\frac{1}{3}}

How to Evaluate Bending Stress for Solid Shaft?

Bending Stress for Solid Shaft evaluator uses Bending Stress = (Maximum Bending Moment for Solid Shaft)/((pi/32)*(Diameter of Solid Shaft for Agitator)^3) to evaluate the Bending Stress, Bending Stress for Solid Shaft refers to the internal stress or force that develops within a solid cylindrical or prismatic shaft when it is subjected to an external bending moment or torque. Bending Stress is denoted by f_b symbol.

How to evaluate Bending Stress for Solid Shaft using this online evaluator? To use this online evaluator for Bending Stress for Solid Shaft, enter Maximum Bending Moment for Solid Shaft (M_solidshaft) & Diameter of Solid Shaft for Agitator (d_solidshaft) and hit the calculate button.

FAQs on Bending Stress for Solid Shaft

What is the formula to find Bending Stress for Solid Shaft?

The formula of Bending Stress for Solid Shaft is expressed as Bending Stress = (Maximum Bending Moment for Solid Shaft)/((pi/32)*(Diameter of Solid Shaft for Agitator)^3). Here is an example- 0.000175 = (3.7)/((pi/32)*(0.00599)^3).

How to calculate Bending Stress for Solid Shaft?

With Maximum Bending Moment for Solid Shaft (M_solidshaft) & Diameter of Solid Shaft for Agitator (d_solidshaft) we can find Bending Stress for Solid Shaft using the formula - Bending Stress = (Maximum Bending Moment for Solid Shaft)/((pi/32)*(Diameter of Solid Shaft for Agitator)^3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Bending Stress?

Here are the different ways to Calculate Bending Stress-

Bending Stress=Maximum Bending Moment/((pi/32)*(Hollow Shaft Outer Diameter)^(3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^2))

Can the Bending Stress for Solid Shaft be negative?

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

Which unit is used to measure Bending Stress for Solid Shaft?

Bending Stress for Solid Shaft is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Bending Stress for Solid Shaft can be measured.

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