Eccentricity for Balanced Condition for Short, Circular Members Calculator

✖Area Ratio of Gross Area to Steel Area is the ratio of gross area of steel and area of steel reinforcement.ⓘ Area Ratio of Gross Area to Steel Area [Rho']			+10% -10%
✖Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete.ⓘ Force Ratio of Strengths of Reinforcements [m]			+10% -10%
✖Overall Diameter of Section is the section without any load.ⓘ Overall Diameter of Section [D]			+10% -10%

✖Eccentricity with respect to Plastic Load is the distance from plastic centroid to centroid of tension reinforcement.ⓘ Eccentricity for Balanced Condition for Short, Circular Members [e_b]

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Eccentricity for Balanced Condition for Short, Circular Members

Formula

`"e"_{"b"} = (0.24-0.39*"Rho'"*"m")*"D"`

Example

`"24.9mm"=(0.24-0.39*"0.9"*"0.4")*"250mm"`

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Eccentricity for Balanced Condition for Short, Circular Members Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity with respect to Plastic Load = (0.24-0.39*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)*Overall Diameter of Section
e_b = (0.24-0.39*Rho'*m)*D
This formula uses 4 Variables

Variables Used

Eccentricity with respect to Plastic Load - (Measured in Millimeter) - Eccentricity with respect to Plastic Load is the distance from plastic centroid to centroid of tension reinforcement.
Area Ratio of Gross Area to Steel Area - Area Ratio of Gross Area to Steel Area is the ratio of gross area of steel and area of steel reinforcement.
Force Ratio of Strengths of Reinforcements - Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete.
Overall Diameter of Section - (Measured in Millimeter) - Overall Diameter of Section is the section without any load.

STEP 1: Convert Input(s) to Base Unit

Area Ratio of Gross Area to Steel Area: 0.9 --> No Conversion Required
Force Ratio of Strengths of Reinforcements: 0.4 --> No Conversion Required
Overall Diameter of Section: 250 Millimeter --> 250 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_b = (0.24-0.39*Rho'*m)*D --> (0.24-0.39*0.9*0.4)*250

Evaluating ... ...

e_b = 24.9

STEP 3: Convert Result to Output's Unit

0.0249 Meter -->24.9 Millimeter (Check conversion here)

FINAL ANSWER

24.9 Millimeter <-- Eccentricity with respect to Plastic Load

(Calculation completed in 00.004 seconds)

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Ultimate Strength for Short, Circular Members when Controlled by Tension

Go Axial Load Capacity = 0.85*28-Day Compressive Strength of Concrete*(Overall Diameter of Section^2)*Resistance Factor*(sqrt((((0.85*Eccentricity of Column/Overall Diameter of Section)-0.38)^2)+(Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements*Bar Diameter/(2.5*Overall Diameter of Section)))-((0.85*Eccentricity of Column/Overall Diameter of Section)-0.38))

Ultimate Strength for Short, Circular Members when Governed by Compression

Go Axial Load Capacity = Resistance Factor*((Area of Steel Reinforcement*Yield Strength of Reinforcing Steel/((3*Eccentricity of Column/Bar Diameter)+1))+(Gross Area of Column*28-Day Compressive Strength of Concrete/(9.6*Diameter at Eccentricity/((0.8*Overall Diameter of Section+0.67*Bar Diameter)^2)+1.18)))

Eccentricity for Balanced Condition for Short, Circular Members

Go Eccentricity with respect to Plastic Load = (0.24-0.39*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)*Overall Diameter of Section

Eccentricity for Balanced Condition for Short, Circular Members Formula

Eccentricity with respect to Plastic Load = (0.24-0.39*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)*Overall Diameter of Section
e_b = (0.24-0.39*Rho'*m)*D

What is the Ultimate Strength of a Material?

The ultimate strength is the maximum stress that a material can withstand before it breaks or weakens. For example, the ultimate tensile strength (UTS) of AISI 1018 Steel is 440 MPa.

What happens when eccentricity is 0?

If the eccentricity is zero, the curve is a circle; if equal to one, a parabola; if less than one, an ellipse; and if greater than one, a hyperbola.

How to Calculate Eccentricity for Balanced Condition for Short, Circular Members?

Eccentricity for Balanced Condition for Short, Circular Members calculator uses Eccentricity with respect to Plastic Load = (0.24-0.39*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)*Overall Diameter of Section to calculate the Eccentricity with respect to Plastic Load, The Eccentricity for Balanced Condition for Short, Circular Members formula is defined as the eccentricity, of the axial load with respect to the plastic centroid and is the distance, from plastic centroid to centroid of tension reinforcement. Eccentricity with respect to Plastic Load is denoted by e_b symbol.

How to calculate Eccentricity for Balanced Condition for Short, Circular Members using this online calculator? To use this online calculator for Eccentricity for Balanced Condition for Short, Circular Members, enter Area Ratio of Gross Area to Steel Area (Rho'), Force Ratio of Strengths of Reinforcements (m) & Overall Diameter of Section (D) and hit the calculate button. Here is how the Eccentricity for Balanced Condition for Short, Circular Members calculation can be explained with given input values -> 0.0249 = (0.24-0.39*0.9*0.4)*0.25.

FAQ

What is Eccentricity for Balanced Condition for Short, Circular Members?

The Eccentricity for Balanced Condition for Short, Circular Members formula is defined as the eccentricity, of the axial load with respect to the plastic centroid and is the distance, from plastic centroid to centroid of tension reinforcement and is represented as e_b = (0.24-0.39*Rho'*m)*D or Eccentricity with respect to Plastic Load = (0.24-0.39*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)*Overall Diameter of Section. Area Ratio of Gross Area to Steel Area is the ratio of gross area of steel and area of steel reinforcement, Force Ratio of Strengths of Reinforcements is the ratio of yield strength of reinforcing steel to 0.85 times 28 day compressive strength of concrete & Overall Diameter of Section is the section without any load.

How to calculate Eccentricity for Balanced Condition for Short, Circular Members?

The Eccentricity for Balanced Condition for Short, Circular Members formula is defined as the eccentricity, of the axial load with respect to the plastic centroid and is the distance, from plastic centroid to centroid of tension reinforcement is calculated using Eccentricity with respect to Plastic Load = (0.24-0.39*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)*Overall Diameter of Section. To calculate Eccentricity for Balanced Condition for Short, Circular Members, you need Area Ratio of Gross Area to Steel Area (Rho'), Force Ratio of Strengths of Reinforcements (m) & Overall Diameter of Section (D). With our tool, you need to enter the respective value for Area Ratio of Gross Area to Steel Area, Force Ratio of Strengths of Reinforcements & Overall Diameter of Section 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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