Maximum Initial Deflection given Initial Deflection at Distance X from A Calculator

✖Initial Deflection is the deformation that a structural component experiences before any external load is applied or due to inherent imperfections such as residual stresses etc.ⓘ Initial Deflection [y']			+10% -10%
✖Distance of Deflection from end A is the distance x of deflection from end A.ⓘ Distance of Deflection from end A [x]			+10% -10%
✖Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Length of Column [l]			+10% -10%

✖Maximum Initial Deflection is the degree to which a structural element is displaced under a load.ⓘ Maximum Initial Deflection given Initial Deflection at Distance X from A [C]

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Maximum Initial Deflection given Initial Deflection at Distance X from A Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Initial Deflection = Initial Deflection/sin((pi*Distance of Deflection from end A)/Length of Column)
C = y'/sin((pi*x)/l)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Maximum Initial Deflection - (Measured in Meter) - Maximum Initial Deflection is the degree to which a structural element is displaced under a load.
Initial Deflection - (Measured in Meter) - Initial Deflection is the deformation that a structural component experiences before any external load is applied or due to inherent imperfections such as residual stresses etc.
Distance of Deflection from end A - (Measured in Meter) - Distance of Deflection from end A is the distance x of deflection from end A.
Length of Column - (Measured in Meter) - Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

STEP 1: Convert Input(s) to Base Unit

Initial Deflection: 60 Millimeter --> 0.06 Meter (Check conversion here)
Distance of Deflection from end A: 35 Millimeter --> 0.035 Meter (Check conversion here)
Length of Column: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = y'/sin((pi*x)/l) --> 0.06/sin((pi*0.035)/5)

Evaluating ... ...

C = 2.72859037689798

STEP 3: Convert Result to Output's Unit

2.72859037689798 Meter -->2728.59037689798 Millimeter (Check conversion here)

FINAL ANSWER

2728.59037689798 ≈ 2728.59 Millimeter <-- Maximum Initial Deflection

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Mechanical » Columns With Initial Curvature » Maximum Initial Deflection given Initial Deflection at Distance X from A

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National Institute Of Technology (NIT), Hamirpur

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< Columns With Initial Curvature Calculators

Length of Column given Initial Deflection at Distance X from end A

LaTeX Go Length of Column = (pi*Distance of Deflection from end A)/(asin(Initial Deflection/Maximum Initial Deflection))

Value of Distance 'X' given Initial Deflection at Distance X from end A

LaTeX Go Distance of Deflection from end A = (asin(Initial Deflection/Maximum Initial Deflection))*Length of Column/pi

Modulus of Elasticity given Euler Load

LaTeX Go Modulus of Elasticity of Column = (Euler Load*(Length of Column^2))/(pi^2*Moment of Inertia)

Euler Load

LaTeX Go Euler Load = ((pi^2)*Modulus of Elasticity of Column*Moment of Inertia)/(Length of Column^2)

Maximum Initial Deflection given Initial Deflection at Distance X from A Formula

LaTeX Go

Maximum Initial Deflection = Initial Deflection/sin((pi*Distance of Deflection from end A)/Length of Column)
C = y'/sin((pi*x)/l)

What is Maximum Deflection?

Maximum Deflection refers to the largest displacement or deformation experienced by a structural element (such as a beam or column) under an applied load. It occurs at the point along the length of the element where the bending or deformation is greatest.

How to Calculate Maximum Initial Deflection given Initial Deflection at Distance X from A?

Maximum Initial Deflection given Initial Deflection at Distance X from A calculator uses Maximum Initial Deflection = Initial Deflection/sin((pi*Distance of Deflection from end A)/Length of Column) to calculate the Maximum Initial Deflection, The Maximum Initial Deflection given Initial Deflection at Distance X from A formula is defined as a measure of the maximum deflection of a column from its original position due to an initial curvature, providing insights into the structural behavior of columns under various loads. Maximum Initial Deflection is denoted by C symbol.

How to calculate Maximum Initial Deflection given Initial Deflection at Distance X from A using this online calculator? To use this online calculator for Maximum Initial Deflection given Initial Deflection at Distance X from A, enter Initial Deflection (y'), Distance of Deflection from end A (x) & Length of Column (l) and hit the calculate button. Here is how the Maximum Initial Deflection given Initial Deflection at Distance X from A calculation can be explained with given input values -> 2.7E+6 = 0.06/sin((pi*0.035)/5).

FAQ

What is Maximum Initial Deflection given Initial Deflection at Distance X from A?

The Maximum Initial Deflection given Initial Deflection at Distance X from A formula is defined as a measure of the maximum deflection of a column from its original position due to an initial curvature, providing insights into the structural behavior of columns under various loads and is represented as C = y'/sin((pi*x)/l) or Maximum Initial Deflection = Initial Deflection/sin((pi*Distance of Deflection from end A)/Length of Column). Initial Deflection is the deformation that a structural component experiences before any external load is applied or due to inherent imperfections such as residual stresses etc, Distance of Deflection from end A is the distance x of deflection from end A & Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

How to calculate Maximum Initial Deflection given Initial Deflection at Distance X from A?

The Maximum Initial Deflection given Initial Deflection at Distance X from A formula is defined as a measure of the maximum deflection of a column from its original position due to an initial curvature, providing insights into the structural behavior of columns under various loads is calculated using Maximum Initial Deflection = Initial Deflection/sin((pi*Distance of Deflection from end A)/Length of Column). To calculate Maximum Initial Deflection given Initial Deflection at Distance X from A, you need Initial Deflection (y'), Distance of Deflection from end A (x) & Length of Column (l). With our tool, you need to enter the respective value for Initial Deflection, Distance of Deflection from end A & Length of Column 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 Maximum Initial Deflection?

In this formula, Maximum Initial Deflection uses Initial Deflection, Distance of Deflection from end A & Length of Column. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Initial Deflection = Deflection of Column/((1/(1-(Crippling Load/Euler Load)))*sin((pi*Distance of Deflection from end A)/Length of Column))
Maximum Initial Deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load)))
Maximum Initial Deflection = (1-(Direct Stress/Euler Stress))*((Maximum Stress at Crack Tip/Direct Stress)-1)*(Radius of Gyration^2)/Distance from Neutral Axis to Extreme Point

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