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28-Day Concrete Compressive Strength given Axial Capacity of Wall Formula

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Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed. Check FAQs

f' c = \frac{ϕP n}{0.55 \cdot ϕ \cdot A g \cdot (1 - {(\frac{k \cdot l c}{32 \cdot h})}^{2})}

f'_c - Specified 28-Day Compressive Strength of Concrete?ϕP_n - Axial Capacity of Wall?ϕ - Strength Reduction Factor for Bearing Walls?A_g - Gross Area of Column?k - Effective Length Factor?l_c - Vertical Distance between Supports?h - Overall Thickness of Wall?

28-Day Concrete Compressive Strength given Axial Capacity of Wall Example

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Here is how the 28-Day Concrete Compressive Strength given Axial Capacity of Wall equation looks like with Values.

Here is how the 28-Day Concrete Compressive Strength given Axial Capacity of Wall equation looks like with Units.

Here is how the 28-Day Concrete Compressive Strength given Axial Capacity of Wall equation looks like.

52.2671 = \frac{10}{0.55 \cdot 0.7 \cdot 500 \cdot (1 - {(\frac{0.5 \cdot 1000}{32 \cdot 200})}^{2})}

52.2671MPa = \frac{10kN}{0.55 \cdot 0.7 \cdot 500mm² \cdot (1 - {(\frac{0.5 \cdot 1000mm}{32 \cdot 200mm})}^{2})}

52.2671 = \frac{10}{0.55 \cdot 0.7 \cdot 500 \cdot (1 - {(\frac{0.5 \cdot 1000}{32 \cdot 200})}^{2})}

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28-Day Concrete Compressive Strength given Axial Capacity of Wall Solution

Follow our step by step solution on how to calculate 28-Day Concrete Compressive Strength given Axial Capacity of Wall?

FIRST Step Consider the formula

f' c = \frac{ϕP n}{0.55 \cdot ϕ \cdot A g \cdot (1 - {(\frac{k \cdot l c}{32 \cdot h})}^{2})}

Next Step Substitute values of Variables

∴

f' c = \frac{10kN}{0.55 \cdot 0.7 \cdot 500mm² \cdot (1 - {(\frac{0.5 \cdot 1000mm}{32 \cdot 200mm})}^{2})}

Next Step Convert Units

∴

f' c = \frac{10000N}{0.55 \cdot 0.7 \cdot 0.0005m² \cdot (1 - {(\frac{0.5 \cdot 1m}{32 \cdot 0.2m})}^{2})}

Next Step Prepare to Evaluate

∴

f' c = \frac{10000}{0.55 \cdot 0.7 \cdot 0.0005 \cdot (1 - {(\frac{0.5 \cdot 1}{32 \cdot 0.2})}^{2})}

Next Step Evaluate

∴

f' c = 52267064.7946993Pa

Next Step Convert to Output's Unit

∴

f' c = 52.2670647946993MPa

LAST Step Rounding Answer

∴

f' c = 52.2671MPa

28-Day Concrete Compressive Strength given Axial Capacity of Wall Formula Elements

Variables

Specified 28-Day Compressive Strength of Concrete

Specified 28-Day Compressive Strength of Concrete is the maximum compressive load concrete can withstand after the concrete mix is formed.

Symbol: f'_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Specified 28-Day Compressive Strength of Concrete

Axial Capacity of Wall

Axial Capacity of Wall is the capacity of the column to resist axially applied loads.

Symbol: ϕP_n

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Capacity of Wall

Strength Reduction Factor for Bearing Walls

Strength Reduction Factor for Bearing Walls is the ratio of elastic strength to yield strength.

Symbol: ϕ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strength Reduction Factor for Bearing Walls

Gross Area of Column

Gross Area of Column is the total area enclosed by the column.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Gross Area of Column

Effective Length Factor

Effective Length Factor is the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Length Factor

Vertical Distance between Supports

Vertical Distance between Supports is the distance between two intermediate supports for a structure in the vertical direction.

Symbol: l_c

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Vertical Distance between Supports

Overall Thickness of Wall

Overall Thickness of Wall is the wall thickness in millimeters.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overall Thickness of Wall

Other formulas in Load Bearing Walls category

Go Axial Capacity of Wall

ϕP n = 0.55 \cdot ϕ \cdot f' c \cdot A g \cdot (1 - {(\frac{k \cdot l c}{32 \cdot h})}^{2})

Go Wall Section Gross Area given Axial Capacity of Wall

A g = \frac{ϕP n}{0.55 \cdot ϕ \cdot f' c \cdot (1 - {(\frac{k \cdot l c}{32 \cdot h})}^{2})}

How to Evaluate 28-Day Concrete Compressive Strength given Axial Capacity of Wall?

28-Day Concrete Compressive Strength given Axial Capacity of Wall evaluator uses Specified 28-Day Compressive Strength of Concrete = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Gross Area of Column*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2)) to evaluate the Specified 28-Day Compressive Strength of Concrete, The 28-Day Concrete Compressive Strength given Axial Capacity of Wall formula is defined as the strength of concrete attained after 28 days of using it. Specified 28-Day Compressive Strength of Concrete is denoted by f'_c symbol.

How to evaluate 28-Day Concrete Compressive Strength given Axial Capacity of Wall using this online evaluator? To use this online evaluator for 28-Day Concrete Compressive Strength given Axial Capacity of Wall, enter Axial Capacity of Wall (ϕP_n), Strength Reduction Factor for Bearing Walls (ϕ), Gross Area of Column (A_g), Effective Length Factor (k), Vertical Distance between Supports (l_c) & Overall Thickness of Wall (h) and hit the calculate button.

FAQs on 28-Day Concrete Compressive Strength given Axial Capacity of Wall

What is the formula to find 28-Day Concrete Compressive Strength given Axial Capacity of Wall?

The formula of 28-Day Concrete Compressive Strength given Axial Capacity of Wall is expressed as Specified 28-Day Compressive Strength of Concrete = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Gross Area of Column*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2)). Here is an example- 5.2E-5 = (10000)/(0.55*0.7*0.0005*(1-((0.5*1)/(32*0.2))^2)).

How to calculate 28-Day Concrete Compressive Strength given Axial Capacity of Wall?

With Axial Capacity of Wall (ϕP_n), Strength Reduction Factor for Bearing Walls (ϕ), Gross Area of Column (A_g), Effective Length Factor (k), Vertical Distance between Supports (l_c) & Overall Thickness of Wall (h) we can find 28-Day Concrete Compressive Strength given Axial Capacity of Wall using the formula - Specified 28-Day Compressive Strength of Concrete = (Axial Capacity of Wall)/(0.55*Strength Reduction Factor for Bearing Walls*Gross Area of Column*(1-((Effective Length Factor*Vertical Distance between Supports)/(32*Overall Thickness of Wall))^2)).

Can the 28-Day Concrete Compressive Strength given Axial Capacity of Wall be negative?

No, the 28-Day Concrete Compressive Strength given Axial Capacity of Wall, measured in Stress cannot be negative.

Which unit is used to measure 28-Day Concrete Compressive Strength given Axial Capacity of Wall?

28-Day Concrete Compressive Strength given Axial Capacity of Wall is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which 28-Day Concrete Compressive Strength given Axial Capacity of Wall can be measured.

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28-Day Concrete Compressive Strength given Axial Capacity of Wall Formula

28-Day Concrete Compressive Strength given Axial Capacity of Wall Example

28-Day Concrete Compressive Strength given Axial Capacity of Wall Solution

28-Day Concrete Compressive Strength given Axial Capacity of Wall Formula Elements

Other formulas in Load Bearing Walls category

How to Evaluate 28-Day Concrete Compressive Strength given Axial Capacity of Wall?

FAQs on 28-Day Concrete Compressive Strength given Axial Capacity of Wall

Variable Name