FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Eccentricity for Balanced Condition for Short, Circular Members Formula

Fx Copy

LaTeX Copy

Eccentricity with respect to Plastic Load is the distance from plastic centroid to centroid of tension reinforcement. Check FAQs

e b = (0.24 - 0.39 \cdot Rho' \cdot m) \cdot D

e_b - Eccentricity with respect to Plastic Load?Rho' - Area Ratio of Gross Area to Steel Area?m - Force Ratio of Strengths of Reinforcements?D - Overall Diameter of Section?

Eccentricity for Balanced Condition for Short, Circular Members Example

With values

With units

Only example

Here is how the Eccentricity for Balanced Condition for Short, Circular Members equation looks like with Values.

Here is how the Eccentricity for Balanced Condition for Short, Circular Members equation looks like with Units.

Here is how the Eccentricity for Balanced Condition for Short, Circular Members equation looks like.

24.9 = (0.24 - 0.39 \cdot 0.9 \cdot 0.4) \cdot 250

24.9mm = (0.24 - 0.39 \cdot 0.9 \cdot 0.4) \cdot 250mm

24.9 = (0.24 - 0.39 \cdot 0.9 \cdot 0.4) \cdot 250

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Columns » fx Eccentricity for Balanced Condition for Short, Circular Members

Eccentricity for Balanced Condition for Short, Circular Members Solution

Follow our step by step solution on how to calculate Eccentricity for Balanced Condition for Short, Circular Members?

FIRST Step Consider the formula

e b = (0.24 - 0.39 \cdot Rho' \cdot m) \cdot D

Next Step Substitute values of Variables

∴

e b = (0.24 - 0.39 \cdot 0.9 \cdot 0.4) \cdot 250mm

Next Step Prepare to Evaluate

∴

e b = (0.24 - 0.39 \cdot 0.9 \cdot 0.4) \cdot 250

Next Step Evaluate

∴

e b = 0.0249m

LAST Step Convert to Output's Unit

∴

e b = 24.9mm

Eccentricity for Balanced Condition for Short, Circular Members Formula Elements

Variables

Eccentricity with respect to Plastic Load

Eccentricity with respect to Plastic Load is the distance from plastic centroid to centroid of tension reinforcement.

Symbol: e_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity with respect to Plastic Load

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.

Symbol: Rho'

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Area Ratio of Gross Area to Steel Area

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.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Force Ratio of Strengths of Reinforcements

Overall Diameter of Section

Overall Diameter of Section is the section without any load.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overall Diameter of Section

Other formulas in Circular Columns category

Go Ultimate Strength for Short, Circular Members when Controlled by Tension

P u = 0.85 \cdot f' c \cdot (D^{2}) \cdot Φ \cdot (\sqrt{({((0.85 \cdot \frac{e}{D}) - 0.38)}^{2}) + (Rho' \cdot m \cdot \frac{D b}{2.5 \cdot D})} - ((0.85 \cdot \frac{e}{D}) - 0.38))

Go Ultimate Strength for Short, Circular Members when Governed by Compression

P u = Φ \cdot ((A st \cdot \frac{f y}{(3 \cdot \frac{e}{D b}) + 1}) + (A g \cdot \frac{f' c}{9.6 \cdot \frac{D e}{{(0.8 \cdot D + 0.67 \cdot D b)}^{2}} + 1.18}))

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

Eccentricity for Balanced Condition for Short, Circular Members evaluator 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 evaluate 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 evaluate Eccentricity for Balanced Condition for Short, Circular Members using this online evaluator? To use this online evaluator 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.

FAQs on Eccentricity for Balanced Condition for Short, Circular Members

What is the formula to find Eccentricity for Balanced Condition for Short, Circular Members?

The formula of Eccentricity for Balanced Condition for Short, Circular Members is expressed as 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. Here is an example- 0.0249 = (0.24-0.39*0.9*0.4)*0.25.

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

With Area Ratio of Gross Area to Steel Area (Rho'), Force Ratio of Strengths of Reinforcements (m) & Overall Diameter of Section (D) we can find Eccentricity for Balanced Condition for Short, Circular Members using the 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.

Can the Eccentricity for Balanced Condition for Short, Circular Members be negative?

No, the Eccentricity for Balanced Condition for Short, Circular Members, measured in Length cannot be negative.

Which unit is used to measure Eccentricity for Balanced Condition for Short, Circular Members?

Eccentricity for Balanced Condition for Short, Circular Members is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Eccentricity for Balanced Condition for Short, Circular Members can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Eccentricity for Balanced Condition for Short, Circular Members Formula

Eccentricity for Balanced Condition for Short, Circular Members Example

Eccentricity for Balanced Condition for Short, Circular Members Solution

Eccentricity for Balanced Condition for Short, Circular Members Formula Elements

Other formulas in Circular Columns category

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

FAQs on Eccentricity for Balanced Condition for Short, Circular Members

Variable Name