Balanced Moment given Load and Eccentricity Calculator

✖The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load.ⓘ Eccentricity of Column [e]			+10% -10%
✖Load Balanced Condition is defined as the load applied in Balanced conditions.ⓘ Load Balanced Condition [P_b]			+10% -10%

✖A Balanced Moment is a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced - we say the moments are equal and opposite.ⓘ Balanced Moment given Load and Eccentricity [M_b]

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Balanced Moment given Load and Eccentricity

Formula

`"M"_{"b"} = "e"*"P"_{"b"}`

Example

`"3.5N*m"="35mm"*"100N"`

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Balanced Moment given Load and Eccentricity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Balanced Moment = Eccentricity of Column*Load Balanced Condition
M_b = e*P_b
This formula uses 3 Variables

Variables Used

Balanced Moment - (Measured in Newton Meter) - A Balanced Moment is a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced - we say the moments are equal and opposite.
Eccentricity of Column - (Measured in Meter) - The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load.
Load Balanced Condition - (Measured in Newton) - Load Balanced Condition is defined as the load applied in Balanced conditions.

STEP 1: Convert Input(s) to Base Unit

Eccentricity of Column: 35 Millimeter --> 0.035 Meter (Check conversion here)
Load Balanced Condition: 100 Newton --> 100 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = e*P_b --> 0.035*100

Evaluating ... ...

M_b = 3.5

STEP 3: Convert Result to Output's Unit

3.5 Newton Meter --> No Conversion Required

FINAL ANSWER

3.5 Newton Meter <-- Balanced Moment

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 9 Ultimate Strength Design of Concrete Columns Calculators

Ultimate Strength for Symmetrical Reinforcement

Go Axial Load Capacity = 0.85*28-Day Compressive Strength of Concrete*Width of Compression Face*Distance from Compression to Tensile Reinforcement*Capacity Reduction Factor*((-Area Ratio of Tensile Reinforcement)+1-(Eccentricity by Method of Frame Analysis/Distance from Compression to Tensile Reinforcement)+sqrt(((1-(Eccentricity by Method of Frame Analysis/Distance from Compression to Tensile Reinforcement))^2)+2*Area Ratio of Tensile Reinforcement*((Force Ratio of Strengths of Reinforcements-1)*(1-(Distance from Compression to Centroid Reinforcment/Distance from Compression to Tensile Reinforcement))+(Eccentricity by Method of Frame Analysis/Distance from Compression to Tensile Reinforcement))))

Tension Reinforcement Area for Axial-Load Capacity of Short Rectangular Members

Go Area of Tension Reinforcement = ((0.85*28-Day Compressive Strength of Concrete*Width of Compression Face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel)-(Axial Load Capacity/Resistance Factor))/Steel Tensile Stress

Compressive Reinforcement Area given Axial-Load Capacity of Short Rectangular Members

Go Area of Compressive Reinforcement = ((Axial Load Capacity/Resistance Factor)-(.85*28-Day Compressive Strength of Concrete*Width of Compression Face*Depth Rectangular Compressive Stress)+(Area of Tension Reinforcement*Steel Tensile Stress))/Yield Strength of Reinforcing Steel

Tensile Stress in Steel for Axial-Load Capacity of Short Rectangular Members

Go Steel Tensile Stress = ((.85*28-Day Compressive Strength of Concrete*Width of Compression Face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel)-(Axial Load Capacity/Resistance Factor))/Area of Tension Reinforcement

Axial Load Capacity of Short Rectangular Members

Go Axial Load Capacity = Resistance Factor*((.85*28-Day Compressive Strength of Concrete*Width of Compression Face*Depth Rectangular Compressive Stress)+(Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel)-(Area of Tension Reinforcement*Steel Tensile Stress))

28-day Concrete Compressive Strength given Column Ultimate Strength

Go 28-Day Compressive Strength of Concrete = (Column Ultimate Strength-Yield Strength of Reinforcing Steel*Area of Steel Reinforcement)/(0.85*(Gross Area of Column-Area of Steel Reinforcement))

Yield Strength of Reinforcing Steel using Column Ultimate Strength

Go Yield Strength of Reinforcing Steel = (Column Ultimate Strength-0.85*28-Day Compressive Strength of Concrete*(Gross Area of Column-Area of Steel Reinforcement))/Area of Steel Reinforcement

Column Ultimate Strength with Zero Eccentricity of Load

Go Column Ultimate Strength = 0.85*28-Day Compressive Strength of Concrete*(Gross Area of Column-Area of Steel Reinforcement)+Yield Strength of Reinforcing Steel*Area of Steel Reinforcement

Balanced Moment given Load and Eccentricity

Go Balanced Moment = Eccentricity of Column*Load Balanced Condition

Balanced Moment given Load and Eccentricity Formula

Balanced Moment = Eccentricity of Column*Load Balanced Condition
M_b = e*P_b

Define Eccentricity

The degree to which two forms fail to share a common center; for example, in a pipe or tube whose inside is off-center toth regard to the outside. The degree of eccentricity can be expressed by a plus or minus wall thickness tolerance.

How to Calculate Balanced Moment given Load and Eccentricity?

Balanced Moment given Load and Eccentricity calculator uses Balanced Moment = Eccentricity of Column*Load Balanced Condition to calculate the Balanced Moment, The Balanced Moment given Load and Eccentricity formula is defined as a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced. Balanced Moment is denoted by M_b symbol.

How to calculate Balanced Moment given Load and Eccentricity using this online calculator? To use this online calculator for Balanced Moment given Load and Eccentricity, enter Eccentricity of Column (e) & Load Balanced Condition (P_b) and hit the calculate button. Here is how the Balanced Moment given Load and Eccentricity calculation can be explained with given input values -> 3.5 = 0.035*100.

FAQ

What is Balanced Moment given Load and Eccentricity?

The Balanced Moment given Load and Eccentricity formula is defined as a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced and is represented as M_b = e*P_b or Balanced Moment = Eccentricity of Column*Load Balanced Condition. The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load & Load Balanced Condition is defined as the load applied in Balanced conditions.

How to calculate Balanced Moment given Load and Eccentricity?

The Balanced Moment given Load and Eccentricity formula is defined as a turning effect of a force. Forces can make objects turn if there is a pivot. This is because the turning forces are balanced is calculated using Balanced Moment = Eccentricity of Column*Load Balanced Condition. To calculate Balanced Moment given Load and Eccentricity, you need Eccentricity of Column (e) & Load Balanced Condition (P_b). With our tool, you need to enter the respective value for Eccentricity of Column & Load Balanced Condition and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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