Maximum Fiber Stress in Flat Spring Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Fiber Stress = (6*Controlling Torque)/(Spring Width*Spring Thickness^2)
ฯƒf = (6*Tc)/(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.
Spring Width - (Measured in Meter) - Spring Width refers to the dimension of a spring measured perpendicular to its length or axis.
Spring Thickness - (Measured in Meter) - Spring Thickness refers to the measurement of the diameter or cross-sectional dimension of a spring material used in various mechanical applications.
STEP 1: Convert Input(s) to Base Unit
Controlling Torque: 34 Newton Meter --> 34 Newton Meter No Conversion Required
Spring Width: 1.68 Meter --> 1.68 Meter No Conversion Required
Spring Thickness: 0.45 Meter --> 0.45 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ฯƒf = (6*Tc)/(b*t^2) --> (6*34)/(1.68*0.45^2)
Evaluating ... ...
ฯƒf = 599.647266313933
STEP 3: Convert Result to Output's Unit
599.647266313933 Pascal --> No Conversion Required
FINAL ANSWER
599.647266313933 โ‰ˆ 599.6473 Pascal <-- Maximum Fiber Stress
(Calculation completed in 00.020 seconds)

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Created by Shobhit Dimri
Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat
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​ Go Controlling Torque = (Youngs Modulus*Spring Width*Spring Thickness^3*Spring Angular Deflection)/(12*Spring Length)
Youngs Modulus of Flat Spring
​ Go Youngs Modulus = (12*Controlling Torque*Spring Length)/(Spring Width*Spring Thickness^3*Spring Angular Deflection)
Torque of moving Coil
​ Go Torque on Coil = Magnetic Field*Current Carrying Coil*Coil Turns Number*Cross Sectional Area
Strength of Magnetic Field
​ Go Magnetic Field = Former EMF/(Former Length*Former Breadth*Former Angular Speed)
EMF induced in portion below magnetic Field
​ Go Former EMF = Magnetic Field*Former Length*Former Breadth*Former Angular Speed
EMF generated in Former
​ Go Former EMF = Magnetic Field*Former Length*Former Breadth*Former Angular Speed
Maximum Fiber Stress in Flat Spring
​ Go Maximum Fiber Stress = (6*Controlling Torque)/(Spring Width*Spring Thickness^2)
Full-Scale Resistance Deviation
​ Go Full Scale Deviation = (Maximum Displacement Deviation*100)/Percent Linearity
Maximum Displacement Deviation
​ Go Maximum Displacement Deviation = (Full Scale Deviation*Percent Linearity)/100
Power Consumed at Full-Scale Reading
​ Go Power Consumed at Full Scale = Full Scale Current*Full Scale Voltage
Angular Speed of Former
​ Go Former Angular Speed = (2*Former Linear Velocity)/(Former Breadth)
Magnitude of Output Response
​ Go Output Response Magnitude = Sensitivity*Input Response Magnitude
Linear velocity of Former
​ Go Former Linear Velocity = (Former Breadth*Former Angular Speed)/2
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​ Go Input Response Magnitude = Output Response Magnitude/Sensitivity
Sensitivity
​ Go Sensitivity = Output Response Magnitude/Input Response Magnitude
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​ Go Spring Angular Deflection = Controlling Torque/Spring Constant
Full-Scale Voltage Reading
​ Go Full Scale Voltage = Full Scale Current*Meter Resistance
Smallest reading(Xmin)
​ Go Smallest Reading = Largest Reading-Instrumentation Span
Largest Reading(Xmax)
​ Go Largest Reading = Instrumentation Span+Smallest Reading
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​ Go Disc Angular Speed = Damping Torque/Damping Constant
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​ Go Damping Constant = Damping Torque/Disc Angular Speed
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DC Meter Sensitivity
​ Go DC Meter Sensitivity = 1/Full Scale Current
Inverse Sensitivity or Scale Factor
​ Go Inverse Sensitivity = 1/Sensitivity

Maximum Fiber Stress in Flat Spring Formula

Maximum Fiber Stress = (6*Controlling Torque)/(Spring Width*Spring Thickness^2)
ฯƒf = (6*Tc)/(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)/(Spring Width*Spring Thickness^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 ฯƒf 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 (Tc), Spring Width (b) & Spring Thickness (t) and hit the calculate button. Here is how the Maximum Fiber Stress in Flat Spring calculation can be explained with given input values -> 599.6473 = (6*34)/(1.68*0.45^2).

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 ฯƒf = (6*Tc)/(b*t^2) or Maximum Fiber Stress = (6*Controlling Torque)/(Spring Width*Spring Thickness^2). Controlling torque involves applying force to manage rotational motion, ensuring stability, adjusting speed, and counteracting external influences such as friction or load changes, Spring Width refers to the dimension of a spring measured perpendicular to its length or axis & Spring Thickness refers to the measurement of the diameter or cross-sectional dimension of a spring material used in various mechanical applications.
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)/(Spring Width*Spring Thickness^2). To calculate Maximum Fiber Stress in Flat Spring, you need Controlling Torque (Tc), Spring Width (b) & Spring Thickness (t). With our tool, you need to enter the respective value for Controlling Torque, Spring Width & Spring Thickness 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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