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 deflection caused in the column at a distance x from end A.
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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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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8 Deflection Calculators

Distance of Section from Fixed End given Deflection at Section of Column with Eccentric Load
Go Distance b/w fixed end and deflection point = (acos(1-(Deflection of Column/(Deflection of Free End+Eccentricity of Load))))/(sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia)))
Maximum Initial Deflection given Final Deflection at Distance X from End A of Column
Go Maximum initial deflection = Deflection of Column/((1/(1-(Crippling Load/Euler Load)))*sin((pi*Distance of deflection from end A)/Length of column))
Final Deflection at Distance X from end A of Column
Go Deflection of Column = (1/(1-(Crippling Load/Euler Load)))*Maximum initial deflection*sin((pi*Distance of deflection from end A)/Length of column)
Maximum Initial Deflection given Maximum Stress for Columns with Initial Curvature
Go 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
Maximum Initial Deflection given Initial Deflection at Distance X from A
Go Maximum initial deflection = Initial Deflection/sin((pi*Distance of deflection from end A)/Length of column)
Initial Deflection at Distance X from end A
Go Initial Deflection = Maximum initial deflection*sin((pi*Distance of deflection from end A)/Length of column)
Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature
Go Maximum initial deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load)))
Maximum Deflection for Columns with Initial Curvature
Go Deflection of Column = (1/(1-(Crippling Load/Euler Load)))*Maximum initial deflection

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

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

What is buckling or crippling load?

Buckling Load is the highest load at which the column will buckle. Crippling load is the max load beyond that load, it cant use further it becomes disable to use.

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 the degree to which a structural element is displaced under a load. 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 the degree to which a structural element is displaced under a load 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 deflection caused in the column at a distance x from end A, 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 the degree to which a structural element is displaced under a load 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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