Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum initial deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load)))
C = δc/(1/(1-(P/PE)))
This formula uses 4 Variables
Variables Used
Maximum initial deflection - (Measured in Meter) - Maximum initial deflection is the degree to which a structural element is displaced under a load.
Deflection of Column - (Measured in Meter) - Deflection of Column at free end in terms of moment at the section of column with eccentric load.
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Euler Load - (Measured in Newton) - Euler load is the compressive load at which a slender column will suddenly bend or buckle.
STEP 1: Convert Input(s) to Base Unit
Deflection of Column: 12 Millimeter --> 0.012 Meter (Check conversion here)
Crippling Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Euler Load: 4 Kilonewton --> 4000 Newton (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = δc/(1/(1-(P/PE))) --> 0.012/(1/(1-(3600/4000)))
Evaluating ... ...
C = 0.0012
STEP 3: Convert Result to Output's Unit
0.0012 Meter -->1.2 Millimeter (Check conversion here)
FINAL ANSWER
1.2 Millimeter <-- Maximum initial deflection
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

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 Maximum Deflection for Columns with Initial Curvature Formula

Maximum initial deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load)))
C = δc/(1/(1-(P/PE)))

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 Maximum Deflection for Columns with Initial Curvature?

Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature calculator uses Maximum initial deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))) to calculate the Maximum initial deflection, The Maximum initial deflection given maximum deflection for columns with initial curvature 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 Maximum Deflection for Columns with Initial Curvature using this online calculator? To use this online calculator for Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature, enter Deflection of Column c), Crippling Load (P) & Euler Load (PE) and hit the calculate button. Here is how the Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature calculation can be explained with given input values -> 1200 = 0.012/(1/(1-(3600/4000))).

FAQ

What is Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature?
The Maximum initial deflection given maximum deflection for columns with initial curvature formula is defined as the degree to which a structural element is displaced under a load and is represented as C = δc/(1/(1-(P/PE))) or Maximum initial deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))). Deflection of Column at free end in terms of moment at the section of column with eccentric load, Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself & Euler load is the compressive load at which a slender column will suddenly bend or buckle.
How to calculate Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature?
The Maximum initial deflection given maximum deflection for columns with initial curvature formula is defined as the degree to which a structural element is displaced under a load is calculated using Maximum initial deflection = Deflection of Column/(1/(1-(Crippling Load/Euler Load))). To calculate Maximum Initial Deflection given Maximum Deflection for Columns with Initial Curvature, you need Deflection of Column c), Crippling Load (P) & Euler Load (PE). With our tool, you need to enter the respective value for Deflection of Column, Crippling Load & Euler Load 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 Deflection of Column, Crippling Load & Euler Load. 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 = Initial Deflection/sin((pi*Distance of deflection from end A)/Length of column)
  • 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!