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Ultimate Strength for Symmetrical Reinforcement in Single Layers Formula

GoUltimate Strength for No Compression Reinforcement Formula

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Axial Load Capacity is defined as the maximum load along the direction of the drive train. Check FAQs

P u = Phi \cdot ((A' s \cdot \frac{f y}{(\frac{e}{d}) - d' + 0.5}) + (b \cdot L \cdot \frac{f' c}{(3 \cdot L \cdot \frac{e}{d^{2}}) + 1.18}))

P_u - Axial Load Capacity?Phi - Capacity Reduction Factor?A'_s - Area of Compressive Reinforcement?f_y - Yield Strength of Reinforcing Steel?e - Eccentricity of Column?d - Distance from Compression to Tensile Reinforcement?d' - Distance from Compression to Centroid Reinforcment?b - Width of Compression Face?L - Effective Length of Column?f'_c - 28-Day Compressive Strength of Concrete?

Ultimate Strength for Symmetrical Reinforcement in Single Layers Example

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Here is how the Ultimate Strength for Symmetrical Reinforcement in Single Layers equation looks like with Values.

Here is how the Ultimate Strength for Symmetrical Reinforcement in Single Layers equation looks like with Units.

Here is how the Ultimate Strength for Symmetrical Reinforcement in Single Layers equation looks like.

889.1433 = 0.85 \cdot ((20 \cdot \frac{250}{(\frac{35}{20}) - 10 + 0.5}) + (5 \cdot 3000 \cdot \frac{55}{(3 \cdot 3000 \cdot \frac{35}{20^{2}}) + 1.18}))

889.1433N = 0.85 \cdot ((20mm² \cdot \frac{250MPa}{(\frac{35mm}{20mm}) - 10mm + 0.5}) + (5mm \cdot 3000mm \cdot \frac{55MPa}{(3 \cdot 3000mm \cdot \frac{35mm}{{20mm}^{2}}) + 1.18}))

889.1433 = 0.85 \cdot ((20 \cdot \frac{250}{(\frac{35}{20}) - 10 + 0.5}) + (5 \cdot 3000 \cdot \frac{55}{(3 \cdot 3000 \cdot \frac{35}{20^{2}}) + 1.18}))

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Ultimate Strength for Symmetrical Reinforcement in Single Layers Solution

Follow our step by step solution on how to calculate Ultimate Strength for Symmetrical Reinforcement in Single Layers?

FIRST Step Consider the formula

P u = Phi \cdot ((A' s \cdot \frac{f y}{(\frac{e}{d}) - d' + 0.5}) + (b \cdot L \cdot \frac{f' c}{(3 \cdot L \cdot \frac{e}{d^{2}}) + 1.18}))

Next Step Substitute values of Variables

∴

P u = 0.85 \cdot ((20mm² \cdot \frac{250MPa}{(\frac{35mm}{20mm}) - 10mm + 0.5}) + (5mm \cdot 3000mm \cdot \frac{55MPa}{(3 \cdot 3000mm \cdot \frac{35mm}{{20mm}^{2}}) + 1.18}))

Next Step Convert Units

∴

P u = 0.85 \cdot ((2E-5m² \cdot \frac{250MPa}{(\frac{35mm}{20mm}) - 10mm + 0.5}) + (5mm \cdot 3000mm \cdot \frac{55MPa}{(3 \cdot 3000mm \cdot \frac{35mm}{{20mm}^{2}}) + 1.18}))

Next Step Prepare to Evaluate

∴

P u = 0.85 \cdot ((2E-5 \cdot \frac{250}{(\frac{35}{20}) - 10 + 0.5}) + (5 \cdot 3000 \cdot \frac{55}{(3 \cdot 3000 \cdot \frac{35}{20^{2}}) + 1.18}))

Next Step Evaluate

∴

P u = 889.143337599615N

LAST Step Rounding Answer

∴

P u = 889.1433N

Ultimate Strength for Symmetrical Reinforcement in Single Layers Formula Elements

Variables

Axial Load Capacity

Axial Load Capacity is defined as the maximum load along the direction of the drive train.

Symbol: P_u

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Load Capacity

Capacity Reduction Factor

Capacity Reduction Factor is derived for reinforced concrete structures based on a reliability-based calibration of the Australian Concrete Structures Standard AS3600.

Symbol: Phi

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Capacity Reduction Factor

Area of Compressive Reinforcement

The Area of Compressive Reinforcement is the amount of steel required in the compression zone.

Symbol: A'_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Compressive Reinforcement

Yield Strength of Reinforcing Steel

The Yield Strength of Reinforcing Steel is the maximum stress that can be applied before it begins to change shape permanently. This is an approximation of the elastic limit of the steel.

Symbol: f_y

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Yield Strength of Reinforcing Steel

Eccentricity of Column

The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Column

Distance from Compression to Tensile Reinforcement

Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Compression to Tensile Reinforcement

Distance from Compression to Centroid Reinforcment

Distance from Compression to Centroid Reinforcment is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).

Symbol: d'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Compression to Centroid Reinforcment

Width of Compression Face

Width of Compression Face is the measurement or extent of something from side to side.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Compression Face

Effective Length of Column

The Effective Length of Column can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Length of Column

28-Day Compressive Strength of Concrete

The 28-Day Compressive Strength of Concrete is the average compressive strength of concrete specimens that have been cured for 28 days.

Symbol: f'_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 28-Day Compressive Strength of Concrete

Other Formulas to find Axial Load Capacity

Go Ultimate Strength for No Compression Reinforcement

P u = 0.85 \cdot f' c \cdot b \cdot d \cdot Phi \cdot ((- Rho \cdot m) + 1 - (\frac{e'}{d}) + \sqrt{({(1 - (\frac{e'}{d}))}^{2}) + 2 \cdot (Rho \cdot e' \cdot \frac{m}{d})})

How to Evaluate Ultimate Strength for Symmetrical Reinforcement in Single Layers?

Ultimate Strength for Symmetrical Reinforcement in Single Layers evaluator uses Axial Load Capacity = Capacity Reduction Factor*((Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel/((Eccentricity of Column/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of Compression Face*Effective Length of Column*28-Day Compressive Strength of Concrete/((3*Effective Length of Column*Eccentricity of Column/(Distance from Compression to Tensile Reinforcement^2))+1.18))) to evaluate the Axial Load Capacity, The Ultimate Strength for Symmetrical Reinforcement in Single Layers formula is defined as Ultimate strength is equivalent to the maximum load that can be carried by one square inch of cross-sectional area when the load is applied as simple tension. Axial Load Capacity is denoted by P_u symbol.

How to evaluate Ultimate Strength for Symmetrical Reinforcement in Single Layers using this online evaluator? To use this online evaluator for Ultimate Strength for Symmetrical Reinforcement in Single Layers, enter Capacity Reduction Factor (Phi), Area of Compressive Reinforcement (A'_s), Yield Strength of Reinforcing Steel (f_y), Eccentricity of Column (e), Distance from Compression to Tensile Reinforcement (d), Distance from Compression to Centroid Reinforcment (d'), Width of Compression Face (b), Effective Length of Column (L) & 28-Day Compressive Strength of Concrete (f'_c) and hit the calculate button.

FAQs on Ultimate Strength for Symmetrical Reinforcement in Single Layers

What is the formula to find Ultimate Strength for Symmetrical Reinforcement in Single Layers?

The formula of Ultimate Strength for Symmetrical Reinforcement in Single Layers is expressed as Axial Load Capacity = Capacity Reduction Factor*((Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel/((Eccentricity of Column/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of Compression Face*Effective Length of Column*28-Day Compressive Strength of Concrete/((3*Effective Length of Column*Eccentricity of Column/(Distance from Compression to Tensile Reinforcement^2))+1.18))). Here is an example- 889.1433 = 0.85*((2E-05*250000000/((0.035/0.02)-0.01+0.5))+(0.005*3*55000000/((3*3*0.035/(0.02^2))+1.18))).

How to calculate Ultimate Strength for Symmetrical Reinforcement in Single Layers?

With Capacity Reduction Factor (Phi), Area of Compressive Reinforcement (A'_s), Yield Strength of Reinforcing Steel (f_y), Eccentricity of Column (e), Distance from Compression to Tensile Reinforcement (d), Distance from Compression to Centroid Reinforcment (d'), Width of Compression Face (b), Effective Length of Column (L) & 28-Day Compressive Strength of Concrete (f'_c) we can find Ultimate Strength for Symmetrical Reinforcement in Single Layers using the formula - Axial Load Capacity = Capacity Reduction Factor*((Area of Compressive Reinforcement*Yield Strength of Reinforcing Steel/((Eccentricity of Column/Distance from Compression to Tensile Reinforcement)-Distance from Compression to Centroid Reinforcment+0.5))+(Width of Compression Face*Effective Length of Column*28-Day Compressive Strength of Concrete/((3*Effective Length of Column*Eccentricity of Column/(Distance from Compression to Tensile Reinforcement^2))+1.18))).

What are the other ways to Calculate Axial Load Capacity?

Here are the different ways to Calculate Axial Load Capacity-

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*Force Ratio of Strengths of Reinforcements)+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*Eccentricity by Method of Frame Analysis*Force Ratio of Strengths of Reinforcements/Distance from Compression to Tensile Reinforcement)))

Can the Ultimate Strength for Symmetrical Reinforcement in Single Layers be negative?

No, the Ultimate Strength for Symmetrical Reinforcement in Single Layers, measured in Force cannot be negative.

Which unit is used to measure Ultimate Strength for Symmetrical Reinforcement in Single Layers?

Ultimate Strength for Symmetrical Reinforcement in Single Layers is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Ultimate Strength for Symmetrical Reinforcement in Single Layers can be measured.

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Ultimate Strength for Symmetrical Reinforcement in Single Layers Formula

​GoUltimate Strength for No Compression Reinforcement Formula

Ultimate Strength for Symmetrical Reinforcement in Single Layers Example

Ultimate Strength for Symmetrical Reinforcement in Single Layers Solution

Ultimate Strength for Symmetrical Reinforcement in Single Layers Formula Elements

Other Formulas to find Axial Load Capacity

How to Evaluate Ultimate Strength for Symmetrical Reinforcement in Single Layers?

FAQs on Ultimate Strength for Symmetrical Reinforcement in Single Layers

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GoUltimate Strength for No Compression Reinforcement Formula