Maximum Fiber Stress in Flat Spring Calculator

✖Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.ⓘ Controlling Torque [T_c]			+10% -10%
✖Width of Spring is defined as the total width of the spring when measured in the extended form.ⓘ Width of Spring [b]			+10% -10%
✖Thickness of Spring is an important as Springs made of fat material are stiffer than those made of thin material.ⓘ Thickness of Spring [t]			+10% -10%

✖Maximum Fiber Stress can be described as the Maximum tensile or compressive stress in a homogeneous flexure or torsion test specimen. maximum fiber stress occurs at mid-span.ⓘ Maximum Fiber Stress in Flat Spring [σ_f]

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Formula

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Maximum Fiber Stress in Flat Spring

Formula

`"σ"_{"f"} = (6*"T"_{"c"})/("b"*"t"^2)`

Example

`"3.037748Pa"=(6*"34N*m")/("2.22m"*("5.5m")^2)`

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Maximum Fiber Stress in Flat Spring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Fiber Stress = (6*Controlling Torque)/(Width of Spring*Thickness of Spring^2)
σ_f = (6*T_c)/(b*t^2)
This formula uses 4 Variables

Variables Used

Maximum Fiber Stress - (Measured in Pascal) - Maximum Fiber Stress can be described as the Maximum tensile or compressive stress in a homogeneous flexure or torsion test specimen. maximum fiber stress occurs at mid-span.
Controlling Torque - (Measured in Newton Meter) - Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes.
Width of Spring - (Measured in Meter) - Width of Spring is defined as the total width of the spring when measured in the extended form.
Thickness of Spring - (Measured in Meter) - Thickness of Spring is an important as Springs made of fat material are stiffer than those made of thin material.

STEP 1: Convert Input(s) to Base Unit

Controlling Torque: 34 Newton Meter --> 34 Newton Meter No Conversion Required
Width of Spring: 2.22 Meter --> 2.22 Meter No Conversion Required
Thickness of Spring: 5.5 Meter --> 5.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_f = (6*T_c)/(b*t^2) --> (6*34)/(2.22*5.5^2)

Evaluating ... ...

σ_f = 3.03774849229395

STEP 3: Convert Result to Output's Unit

3.03774849229395 Pascal --> No Conversion Required

FINAL ANSWER

3.03774849229395 ≈ 3.037748 Pascal <-- Maximum Fiber Stress

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 25 Instrument Characteristics Calculators

Thickness of Spring

Go Thickness of Spring = (Controlling Torque*(12*Length of Pipe)/(Youngs Modulus*Width of Spring)^-1/3)

Flat Spiral Spring Controlling Torque

Go Controlling Torque = (Youngs Modulus*Width of Spring*(Thickness of Spring^3))/(12*Length of Pipe)

Length of Spring

Go Length of Pipe = Youngs Modulus*(Width of Spring*(Thickness of Spring^3))/Controlling Torque*12

Torque of moving Coil

Go Torque on Coil = Flux Density*Current*Number of Turns in Coil*Area of Cross-Section*0.001

Angular Deflection of Spring

Go Angular Deflection of Spring = (Flat Spiral Spring Controlling Torque/Spring Constant)*(pi/180)

Maximum Fiber Stress in Flat Spring

Go Maximum Fiber Stress = (6*Controlling Torque)/(Width of Spring*Thickness of Spring^2)

Multiplier Resistance in Ohmmeter

Go Multiplier Resistance = (Potential Difference/Current)-Galvanometer Resistance

Power Consumed at Full-Scale Reading

Go Power Consumed at Full-Scale Reading = Current at Full-Scale Reading*Full-Scale Voltage Reading

Full-Scale Voltage Reading

Go Full-scale Voltage Reading = Current at Full-Scale Reading*Resistance of Meter

Maximum Resistance Deviation in Ohmmeter

Go Maximum Displacement Deviation = (Percent Linearity*Full-Scale Deviation)/100

Angular Speed of Former

Go Angular Speed of Former = Linear Velocity of Former/(Breadth Of Former/2)

Breadth of Former

Go Breadth Of Former = 2*Linear Velocity of Former/(Angular Speed of Former)

Full-Scale Resistance Deviation

Go Full-Scale Deviation = Maximum Displacement Deviation/Percent Linearity

Maximum Displacement Deviation

Go Maximum Displacement Deviation = Full-Scale Deviation*Percent Linearity

Percent Linearity in Ohmmeter

Go Percent Linearity = Maximum Displacement Deviation/Full-Scale Deviation

Magnitude of Output Response

Go Magnitude of Output Response = Sensitivity*Magnitude of Input Response

Magnitude of Input

Go Magnitude of Input Response = Magnitude of Output Response/Sensitivity

Sensitivity

Go Sensitivity = Magnitude of Output Response/Magnitude of Input Response

Smallest reading(Xmin)

Go Smallest Reading = Largest Reading-Instrumentation Span

Largest Reading(Xmax)

Go Largest Reading = Instrumentation Span+Smallest Reading

Angular Speed of Disc

Go Angular Speed of Disc = Damping Torque/Damping Constant

Area of Capillary Tube

Go Area of Capillary Tube = Area of Bulb/Length of Pipe

DC Meter Sensitivity

Go Sensitivity of DC Meter = 1/Full Scale Current Deflection

Length of Capillary Tube

Go Length of Pipe = 1/Coefficient of Volumetric Expansion

Inverse Sensitivity or Scale Factor

Go Inverse Sensitivity or Scale Factor = 1/Sensitivity

Maximum Fiber Stress in Flat Spring Formula

Maximum Fiber Stress = (6*Controlling Torque)/(Width of Spring*Thickness of Spring^2)
σ_f = (6*T_c)/(b*t^2)

How do you find the maximum stress of a material?

Divide the applied load by the cross-sectional area to calculate the maximum tensile stress. For example, a member with a cross-sectional area of 2 in sq and an applied load of 1000 pounds has maximum tensile stress of 500 pounds per square inch (psi).

How to Calculate Maximum Fiber Stress in Flat Spring?

Maximum Fiber Stress in Flat Spring calculator uses Maximum Fiber Stress = (6*Controlling Torque)/(Width of Spring*Thickness of Spring^2) to calculate the Maximum Fiber Stress, The Maximum Fiber Stress in Flat Spring formula is defined as the stress per unit of area in an extreme fiber of a structural member subjected to bending. Maximum Fiber Stress is denoted by σ_f symbol.

How to calculate Maximum Fiber Stress in Flat Spring using this online calculator? To use this online calculator for Maximum Fiber Stress in Flat Spring, enter Controlling Torque (T_c), Width of Spring (b) & Thickness of Spring (t) and hit the calculate button. Here is how the Maximum Fiber Stress in Flat Spring calculation can be explained with given input values -> 3.371901 = (6*34)/(2.22*5.5^2).

FAQ

What is Maximum Fiber Stress in Flat Spring?

The Maximum Fiber Stress in Flat Spring formula is defined as the stress per unit of area in an extreme fiber of a structural member subjected to bending and is represented as σ_f = (6*T_c)/(b*t^2) or Maximum Fiber Stress = (6*Controlling Torque)/(Width of Spring*Thickness of Spring^2). Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes, Width of Spring is defined as the total width of the spring when measured in the extended form & Thickness of Spring is an important as Springs made of fat material are stiffer than those made of thin material.

How to calculate Maximum Fiber Stress in Flat Spring?

The Maximum Fiber Stress in Flat Spring formula is defined as the stress per unit of area in an extreme fiber of a structural member subjected to bending is calculated using Maximum Fiber Stress = (6*Controlling Torque)/(Width of Spring*Thickness of Spring^2). To calculate Maximum Fiber Stress in Flat Spring, you need Controlling Torque (T_c), Width of Spring (b) & Thickness of Spring (t). With our tool, you need to enter the respective value for Controlling Torque, Width of Spring & Thickness of Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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