Maximum Bending Stress induced at outer end of Spring Formula

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Bending Stress in Spiral Spring is the normal stress that is induced at a point in a spring subjected to loads that cause it to bend. Check FAQs
σb=12Mbt2
σb - Bending Stress in Spiral Spring?M - Bending moment in spiral spring?b - Width of Strip of Spiral Spring?t - Thickness of Strip of Spring?

Maximum Bending Stress induced at outer end of Spring Example

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With units
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Here is how the Maximum Bending Stress induced at outer end of Spring equation looks like with Values.

Here is how the Maximum Bending Stress induced at outer end of Spring equation looks like with Units.

Here is how the Maximum Bending Stress induced at outer end of Spring equation looks like.

800Edit=121200Edit11.52Edit1.25Edit2
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Maximum Bending Stress induced at outer end of Spring Solution

Follow our step by step solution on how to calculate Maximum Bending Stress induced at outer end of Spring?

FIRST Step Consider the formula
σb=12Mbt2
Next Step Substitute values of Variables
σb=121200N*mm11.52mm1.25mm2
Next Step Convert Units
σb=121.2N*m0.0115m0.0012m2
Next Step Prepare to Evaluate
σb=121.20.01150.00122
Next Step Evaluate
σb=800000000Pa
LAST Step Convert to Output's Unit
σb=800N/mm²

Maximum Bending Stress induced at outer end of Spring Formula Elements

Variables
Bending Stress in Spiral Spring
Bending Stress in Spiral Spring is the normal stress that is induced at a point in a spring subjected to loads that cause it to bend.
Symbol: σb
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Bending moment in spiral spring
Bending moment in spiral spring is the reaction induced in a spiral spring when an external force or moment is applied to the element, causing the element to bend.
Symbol: M
Measurement: TorqueUnit: N*mm
Note: Value should be greater than 0.
Width of Strip of Spiral Spring
The Width of Strip of Spiral Spring is defined as the thickness of the wired strip measured in the lateral direction and by which the spiral spring is manufactured.
Symbol: b
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Thickness of Strip of Spring
The Thickness of Strip of Spring is defined as the thickness of the wired strip by which the spiral spring is manufactured.
Symbol: t
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Spring Material Mechanics category

​Go Angle of Rotation of Arbor with Respect to Drum
θ=12MlEb(t3)
​Go Length of Strip from Outer end to inner End given Angle of Rotation of Arbor
l=θEbt312M
​Go Modulus of Elasticity given Angle of Rotation of Arbor
E=12Mlθb(t3)
​Go Force given Bending Moment Due to that Force
P=Mr

How to Evaluate Maximum Bending Stress induced at outer end of Spring?

Maximum Bending Stress induced at outer end of Spring evaluator uses Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2) to evaluate the Bending Stress in Spiral Spring, Maximum Bending Stress induced at outer end of Spring formula is defined as the maximum stress experienced by the outer end of a spiral spring when subjected to an external load, providing a critical value for spring design and material selection in various engineering applications. Bending Stress in Spiral Spring is denoted by σb symbol.

How to evaluate Maximum Bending Stress induced at outer end of Spring using this online evaluator? To use this online evaluator for Maximum Bending Stress induced at outer end of Spring, enter Bending moment in spiral spring (M), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) and hit the calculate button.

FAQs on Maximum Bending Stress induced at outer end of Spring

What is the formula to find Maximum Bending Stress induced at outer end of Spring?
The formula of Maximum Bending Stress induced at outer end of Spring is expressed as Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2). Here is an example- 0.0008 = 12*1.2/(0.01152*0.00125^2).
How to calculate Maximum Bending Stress induced at outer end of Spring?
With Bending moment in spiral spring (M), Width of Strip of Spiral Spring (b) & Thickness of Strip of Spring (t) we can find Maximum Bending Stress induced at outer end of Spring using the formula - Bending Stress in Spiral Spring = 12*Bending moment in spiral spring/(Width of Strip of Spiral Spring*Thickness of Strip of Spring^2).
Can the Maximum Bending Stress induced at outer end of Spring be negative?
No, the Maximum Bending Stress induced at outer end of Spring, measured in Stress cannot be negative.
Which unit is used to measure Maximum Bending Stress induced at outer end of Spring?
Maximum Bending Stress induced at outer end of Spring 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 Maximum Bending Stress induced at outer end of Spring can be measured.
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