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Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring
a1 = P1*a2/P2
This formula uses 3 Variables
Variables Used
Force Transmitted by the Outer Spring - Force Transmitted by the Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs. (Measured in Newton)
Cross Sectional Area of Inner Spring - Cross Sectional Area of Inner Spring is defined as sectional area of the wire by which the inner spring is made. (Measured in Square Millimeter)
Force Transmitted by the Inner Spring - Force Transmitted by the Inner Spring is defined as the axial force transmitted by the outermost spring in the concentric springs. (Measured in Newton)
STEP 1: Convert Input(s) to Base Unit
Force Transmitted by the Outer Spring: 50 Newton --> 50 Newton No Conversion Required
Cross Sectional Area of Inner Spring: 20 Square Millimeter --> 2E-05 Square Meter (Check conversion here)
Force Transmitted by the Inner Spring: 30 Newton --> 30 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a1 = P1*a2/P2 --> 50*2E-05/30
Evaluating ... ...
a1 = 3.33333333333333E-05
STEP 3: Convert Result to Output's Unit
3.33333333333333E-05 Square Meter -->33.3333333333333 Square Millimeter (Check conversion here)
FINAL ANSWER
33.3333333333333 Square Millimeter <-- Cross-Sectional Area of Outer Spring
(Calculation completed in 00.013 seconds)

10+ Concentric Springs Calculators

Wire Diameter of the Outer Spring When Axial Force Transmitted by the Outer Spring is Given
wire_diameter_of_outer_spring = sqrt(Force Transmitted by the Outer Spring*Wire Diameter of inner Spring^2/Force Transmitted by the Inner Spring) Go
Wire Diameter of the Inner Spring When Axial Force Transmitted by the Outer Spring is Given
wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring) Go
Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given
cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring Go
Cross-Sectional Area of Inner Spring When Axial Force Transmitted is Given
cross_sectional_area_of_inner_spring = Cross-Sectional Area of Outer Spring*Force Transmitted by the Inner Spring/Force Transmitted by the Outer Spring Go
Axial Force Transmitted by the outer Spring
force_transmitted_by_outer_spring = Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of inner Spring^2 Go
Axial Force Transmitted by the Inner Spring
force_transmitted_by_inner_spring = (Wire Diameter of inner Spring^2*Force Transmitted by the Outer Spring)/Wire Diameter of Outer Spring Go
Diametrical Clearance Between the Springs
clearance = (Wire Diameter of Outer Spring-Wire Diameter of inner Spring)/2 Go
Wire Diameter of the Inner Spring When Diametrical Clearance Between the Springs is Given
wire_diameter_of_inner_spring = Wire Diameter of Outer Spring-2*Clearance Go
Cross-sectional Area of the Outer Spring Wire
cross_sectional_area = pi*Wire Diameter of Outer Spring^2 Go
Cross-sectional Area of the Inner Spring Wire
cross_sectional_area = pi*Wire Diameter of inner Spring^2 Go

Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given Formula

cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring
a1 = P1*a2/P2

Define Concentric Springs?

A concentric spring consists of two helical compression springs, one inside the other, having the same axis. It is also called a 'nested' spring. Adjacent springs having opposite hands, prevent the locking of coils, in the event of axial misalignment or buckling of springs.

How to Calculate Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given?

Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given calculator uses cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring to calculate the Cross-Sectional Area of Outer Spring, The Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given formula is defined as the sectional area of the wire by which the outer spring is made. Cross-Sectional Area of Outer Spring and is denoted by a1 symbol.

How to calculate Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given using this online calculator? To use this online calculator for Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given, enter Force Transmitted by the Outer Spring (P1), Cross Sectional Area of Inner Spring (a2) and Force Transmitted by the Inner Spring (P2) and hit the calculate button. Here is how the Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given calculation can be explained with given input values -> 33.33333 = 50*2E-05/30.

FAQ

What is Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given?
The Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given formula is defined as the sectional area of the wire by which the outer spring is made and is represented as a1 = P1*a2/P2 or cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring. Force Transmitted by the Outer Spring is defined as the axial force transmitted by the outermost spring in the concentric springs, Cross Sectional Area of Inner Spring is defined as sectional area of the wire by which the inner spring is made and Force Transmitted by the Inner Spring is defined as the axial force transmitted by the outermost spring in the concentric springs.
How to calculate Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given?
The Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given formula is defined as the sectional area of the wire by which the outer spring is made is calculated using cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring. To calculate Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given, you need Force Transmitted by the Outer Spring (P1), Cross Sectional Area of Inner Spring (a2) and Force Transmitted by the Inner Spring (P2). With our tool, you need to enter the respective value for Force Transmitted by the Outer Spring, Cross Sectional Area of Inner Spring and Force Transmitted by the Inner Spring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Cross-Sectional Area of Outer Spring?
In this formula, Cross-Sectional Area of Outer Spring uses Force Transmitted by the Outer Spring, Cross Sectional Area of Inner Spring and Force Transmitted by the Inner Spring. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • force_transmitted_by_outer_spring = Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Wire Diameter of inner Spring^2
  • wire_diameter_of_outer_spring = sqrt(Force Transmitted by the Outer Spring*Wire Diameter of inner Spring^2/Force Transmitted by the Inner Spring)
  • wire_diameter_of_inner_spring = sqrt(Force Transmitted by the Inner Spring*Wire Diameter of Outer Spring^2/Force Transmitted by the Outer Spring)
  • force_transmitted_by_inner_spring = (Wire Diameter of inner Spring^2*Force Transmitted by the Outer Spring)/Wire Diameter of Outer Spring
  • cross_sectional_area = pi*Wire Diameter of Outer Spring^2
  • cross_sectional_area = pi*Wire Diameter of inner Spring^2
  • cross_sectional_area_of_outer_spring = Force Transmitted by the Outer Spring*Cross Sectional Area of Inner Spring/Force Transmitted by the Inner Spring
  • cross_sectional_area_of_inner_spring = Cross-Sectional Area of Outer Spring*Force Transmitted by the Inner Spring/Force Transmitted by the Outer Spring
  • clearance = (Wire Diameter of Outer Spring-Wire Diameter of inner Spring)/2
  • wire_diameter_of_inner_spring = Wire Diameter of Outer Spring-2*Clearance
Where is the Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given calculator used?
Among many, Cross-sectional Area of Outer Spring When Axial Force Transmitted is Given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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