Eccentricity given Moment at Section of Column with Eccentric Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Eccentricity = (Moment of force/Eccentric load on column)-Deflection of Free End+Deflection of Column
e = (M/P)-acrippling+δc
This formula uses 5 Variables
Variables Used
Eccentricity - (Measured in Meter) - Eccentricity is the distance from point of application of resultant to center of base.
Moment of force - (Measured in Newton Meter) - Moment of force is the product of a force and the perpendicular distance of the line of action of the force.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.
Deflection of Free End - (Measured in Meter) - Deflection of Free End is the deflection caused due to crippling load at the free end.
Deflection of Column - (Measured in Meter) - Deflection of Column at free end in terms of moment at the section of column with eccentric load.
STEP 1: Convert Input(s) to Base Unit
Moment of force: 48 Newton Meter --> 48 Newton Meter No Conversion Required
Eccentric load on column: 40 Newton --> 40 Newton No Conversion Required
Deflection of Free End: 14 Millimeter --> 0.014 Meter (Check conversion here)
Deflection of Column: 12 Millimeter --> 0.012 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
e = (M/P)-acripplingc --> (48/40)-0.014+0.012
Evaluating ... ...
e = 1.198
STEP 3: Convert Result to Output's Unit
1.198 Meter -->1198 Millimeter (Check conversion here)
FINAL ANSWER
1198 Millimeter <-- Eccentricity
(Calculation completed in 00.004 seconds)

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16 Columns With Eccentric Load Calculators

Cross Sectional Area of Column given Maximum Stress for Column with Eccentric Load
Go Column Cross Sectional Area = (Eccentric load on column)/(Maximum Stress at Crack Tip-(((Eccentric load on column*Eccentricity of Load*sec(Effective Column Length*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia))))/2)/Section Modulus for Column))
Effective Length of Column given Maximum Stress for Column with Eccentric Load
Go Effective Column Length = asech(((Maximum Stress at Crack Tip-(Eccentric load on column/Column Cross Sectional Area))*Section Modulus for Column)/(Eccentric load on column*Eccentricity))/(sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia))/2)
Eccentricity given Maximum Stress for Column with Eccentric Load
Go Eccentricity = ((Maximum Stress at Crack Tip-(Eccentric load on column/Column Cross Sectional Area))*Section Modulus for Column)/((Eccentric load on column*sec(Effective Column Length*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia))))/2)
Section Modulus given Maximum Stress for Column with Eccentric Load
Go Section Modulus for Column = ((Eccentric load on column*Eccentricity*sec(Effective Column Length*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia))))/2)/(Maximum Stress at Crack Tip-(Eccentric load on column/Column Cross Sectional Area))
Maximum Stress for Column with Eccentric Load
Go Maximum Stress at Crack Tip = (Eccentric load on column/Column Cross Sectional Area)+(((Eccentric load on column*Eccentricity*sec(Effective Column Length*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia))))/2)/Section Modulus for Column)
Modulus of Elasticity given Maximum Stress for Column with Eccentric Load
Go Modulus of elasticity of column = ((asech(((Maximum Stress at Crack Tip-(Eccentric load on column/Column Cross Sectional Area))*Section Modulus for Column)/(Eccentric load on column*Eccentricity))/(Effective Column Length))^2)/(Eccentric load on column/(Moment of Inertia))
Moment of Inertia given Maximum Stress for Column with Eccentric Load
Go Moment of Inertia = ((asech(((Maximum Stress at Crack Tip-(Eccentric load on column/Column Cross Sectional Area))*Section Modulus for Column)/(Eccentric load on column*Eccentricity))/(Effective Column Length))^2)/(Eccentric load on column/(Modulus of elasticity of column))
Eccentricity given Deflection at Section of Column with Eccentric load
Go Eccentricity = (Deflection of Column/(1-cos(Distance b/w fixed end and deflection point*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia)))))-Deflection of Free End
Modulus of Elasticity given Deflection at Section of Column with Eccentric Load
Go Modulus of elasticity of column = (Eccentric load on column/(Moment of Inertia*(((acos(1-(Deflection of Column/(Deflection of Free End+Eccentricity of Load))))/Distance b/w fixed end and deflection point)^2)))
Moment of Inertia given Deflection at Section of Column with Eccentric Load
Go Moment of Inertia = (Eccentric load on column/(Modulus of elasticity of column*(((acos(1-(Deflection of Column/(Deflection of Free End+Eccentricity of Load))))/Distance b/w fixed end and deflection point)^2)))
Eccentric Load given Deflection at Section of Column with Eccentric Load
Go Eccentric load on column = (((acos(1-(Deflection of Column/(Deflection of Free End+Eccentricity of Load))))/Distance b/w fixed end and deflection point)^2)*(Modulus of elasticity of column*Moment of Inertia)
Eccentricity given Deflection at Free End of Column with Eccentric load
Go Eccentricity = Deflection of Free End/(sec(Column Length*sqrt(Eccentric load at column/(Modulus of elasticity of column*Moment of Inertia)))-1)
Modulus of Elasticity given Deflection at Free End of Column with Eccentric Load
Go Modulus of elasticity of column = Eccentric load on column/(Moment of Inertia*(((arcsec((Deflection of Free End/Eccentricity of Load)+1))/Column Length)^2))
Moment of Inertia given Deflection at Free End of Column with Eccentric Load
Go Moment of Inertia = Eccentric load on column/(Modulus of elasticity of column*(((arcsec((Deflection of Free End/Eccentricity of Load)+1))/Column Length)^2))
Moment at Section of Column with Eccentric Load
Go Moment of force = Eccentric load on column*(Deflection of Free End+Eccentricity of Load-Deflection of Column)
Eccentricity given Moment at Section of Column with Eccentric Load
Go Eccentricity = (Moment of force/Eccentric load on column)-Deflection of Free End+Deflection of Column

Eccentricity given Moment at Section of Column with Eccentric Load Formula

Eccentricity = (Moment of force/Eccentric load on column)-Deflection of Free End+Deflection of Column
e = (M/P)-acrippling+δc

Which is example of eccentric loading?

Examples of eccentric loading activities include performing a calf raise off the ledge of a stair, an exercise that has been shown to decrease the risk of Achilles tendon injuries. Another example is the nordic curl exercise, which has been shown to help reduce the risk of hamstring strains.

How to Calculate Eccentricity given Moment at Section of Column with Eccentric Load?

Eccentricity given Moment at Section of Column with Eccentric Load calculator uses Eccentricity = (Moment of force/Eccentric load on column)-Deflection of Free End+Deflection of Column to calculate the Eccentricity, The Eccentricity given moment at section of column with eccentric load formula is defined as the distance between the actual line of action of compressive or tensile loads and the line of action that would produce uniform stress over the cross-section of the specimen. Eccentricity is denoted by e symbol.

How to calculate Eccentricity given Moment at Section of Column with Eccentric Load using this online calculator? To use this online calculator for Eccentricity given Moment at Section of Column with Eccentric Load, enter Moment of force (M), Eccentric load on column (P), Deflection of Free End (acrippling) & Deflection of Column c) and hit the calculate button. Here is how the Eccentricity given Moment at Section of Column with Eccentric Load calculation can be explained with given input values -> 1.2E+6 = (48/40)-0.014+0.012.

FAQ

What is Eccentricity given Moment at Section of Column with Eccentric Load?
The Eccentricity given moment at section of column with eccentric load formula is defined as the distance between the actual line of action of compressive or tensile loads and the line of action that would produce uniform stress over the cross-section of the specimen and is represented as e = (M/P)-acripplingc or Eccentricity = (Moment of force/Eccentric load on column)-Deflection of Free End+Deflection of Column. Moment of force is the product of a force and the perpendicular distance of the line of action of the force, Eccentric load on column is the load that causes direct stress as well as bending stress, Deflection of Free End is the deflection caused due to crippling load at the free end & Deflection of Column at free end in terms of moment at the section of column with eccentric load.
How to calculate Eccentricity given Moment at Section of Column with Eccentric Load?
The Eccentricity given moment at section of column with eccentric load formula is defined as the distance between the actual line of action of compressive or tensile loads and the line of action that would produce uniform stress over the cross-section of the specimen is calculated using Eccentricity = (Moment of force/Eccentric load on column)-Deflection of Free End+Deflection of Column. To calculate Eccentricity given Moment at Section of Column with Eccentric Load, you need Moment of force (M), Eccentric load on column (P), Deflection of Free End (acrippling) & Deflection of Column c). With our tool, you need to enter the respective value for Moment of force, Eccentric load on column, Deflection of Free End & Deflection 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 Eccentricity?
In this formula, Eccentricity uses Moment of force, Eccentric load on column, Deflection of Free End & Deflection of Column. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Eccentricity = (Deflection of Column/(1-cos(Distance b/w fixed end and deflection point*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia)))))-Deflection of Free End
  • Eccentricity = Deflection of Free End/(sec(Column Length*sqrt(Eccentric load at column/(Modulus of elasticity of column*Moment of Inertia)))-1)
  • Eccentricity = ((Maximum Stress at Crack Tip-(Eccentric load on column/Column Cross Sectional Area))*Section Modulus for Column)/((Eccentric load on column*sec(Effective Column Length*sqrt(Eccentric load on column/(Modulus of elasticity of column*Moment of Inertia))))/2)
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