FormulaDen.com

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

Axial Load Capacity of Short Rectangular Members Formula

GoUltimate Strength for Symmetrical Reinforcement Formula

Fx Copy

LaTeX Copy

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

P u = Φ \cdot ((.85 \cdot f' c \cdot b \cdot a) + (A' s \cdot f y) - (A s \cdot f s))

P_u - Axial Load Capacity?Φ - Resistance Factor?f'_c - 28-Day Compressive Strength of Concrete?b - Width of Compression Face?a - Depth Rectangular Compressive Stress?A'_s - Area of Compressive Reinforcement?f_y - Yield Strength of Reinforcing Steel?A_s - Area of Tension Reinforcement?f_s - Steel Tensile Stress?

Axial Load Capacity of Short Rectangular Members Example

With values

With units

Only example

Here is how the Axial Load Capacity of Short Rectangular Members equation looks like with Values.

Here is how the Axial Load Capacity of Short Rectangular Members equation looks like with Units.

Here is how the Axial Load Capacity of Short Rectangular Members equation looks like.

680.0021 = 0.85 \cdot ((.85 \cdot 55 \cdot 5 \cdot 10.5) + (20 \cdot 250) - (15 \cdot 280))

680.0021N = 0.85 \cdot ((.85 \cdot 55MPa \cdot 5mm \cdot 10.5mm) + (20mm² \cdot 250MPa) - (15mm² \cdot 280MPa))

680.0021 = 0.85 \cdot ((.85 \cdot 55 \cdot 5 \cdot 10.5) + (20 \cdot 250) - (15 \cdot 280))

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 Axial Load Capacity of Short Rectangular Members

Axial Load Capacity of Short Rectangular Members Solution

Follow our step by step solution on how to calculate Axial Load Capacity of Short Rectangular Members?

FIRST Step Consider the formula

P u = Φ \cdot ((.85 \cdot f' c \cdot b \cdot a) + (A' s \cdot f y) - (A s \cdot f s))

Next Step Substitute values of Variables

∴

P u = 0.85 \cdot ((.85 \cdot 55MPa \cdot 5mm \cdot 10.5mm) + (20mm² \cdot 250MPa) - (15mm² \cdot 280MPa))

Next Step Convert Units

∴

P u = 0.85 \cdot ((.85 \cdot 55MPa \cdot 0.005m \cdot 0.0105m) + (20mm² \cdot 250MPa) - (15mm² \cdot 280MPa))

Next Step Prepare to Evaluate

∴

P u = 0.85 \cdot ((.85 \cdot 55 \cdot 0.005 \cdot 0.0105) + (20 \cdot 250) - (15 \cdot 280))

Next Step Evaluate

∴

P u = 680.00208621875N

LAST Step Rounding Answer

∴

P u = 680.0021N

Axial Load Capacity of Short Rectangular Members 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

Resistance Factor

The Resistance Factor accounts for the possible conditions that the actual fastener strength may be less than the calculated strength value. It is given by AISC LFRD.

Symbol: Φ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Resistance Factor

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

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

Depth Rectangular Compressive Stress

Depth Rectangular Compressive Stress is defined as the depth of equivalent rectangular compressive-stress distribution, in(mm).

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth Rectangular Compressive Stress

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

Area of Tension Reinforcement

The Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength to the section.

Symbol: A_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Tension Reinforcement

Steel Tensile Stress

Steel Tensile Stress is defined as the stress in the steel under tension.

Symbol: f_s

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Steel Tensile Stress

Other Formulas to find Axial Load Capacity

Go Ultimate Strength for Symmetrical Reinforcement

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

Other formulas in Ultimate Strength Design of Concrete Columns category

Go Column Ultimate Strength with Zero Eccentricity of Load

P 0 = 0.85 \cdot f' c \cdot (A g - A st) + f y \cdot A st

Go Yield Strength of Reinforcing Steel using Column Ultimate Strength

f y = \frac{P 0 - 0.85 \cdot f' c \cdot (A g - A st)}{A st}

How to Evaluate Axial Load Capacity of Short Rectangular Members?

Axial Load Capacity of Short Rectangular Members evaluator uses 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)) to evaluate the Axial Load Capacity, The Axial Load Capacity of Short Rectangular Members formula is defined as the maximum load along the direction of the drive train. Axial Load Capacity is denoted by P_u symbol.

How to evaluate Axial Load Capacity of Short Rectangular Members using this online evaluator? To use this online evaluator for Axial Load Capacity of Short Rectangular Members, enter Resistance Factor (Φ), 28-Day Compressive Strength of Concrete (f'_c), Width of Compression Face (b), Depth Rectangular Compressive Stress (a), Area of Compressive Reinforcement (A'_s), Yield Strength of Reinforcing Steel (f_y), Area of Tension Reinforcement (A_s) & Steel Tensile Stress (f_s) and hit the calculate button.

FAQs on Axial Load Capacity of Short Rectangular Members

What is the formula to find Axial Load Capacity of Short Rectangular Members?

The formula of Axial Load Capacity of Short Rectangular Members is expressed as 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)). Here is an example- 680.0021 = 0.85*((.85*55000000*0.005*0.0105)+(2E-05*250000000)-(1.5E-05*280000000)).

How to calculate Axial Load Capacity of Short Rectangular Members?

With Resistance Factor (Φ), 28-Day Compressive Strength of Concrete (f'_c), Width of Compression Face (b), Depth Rectangular Compressive Stress (a), Area of Compressive Reinforcement (A'_s), Yield Strength of Reinforcing Steel (f_y), Area of Tension Reinforcement (A_s) & Steel Tensile Stress (f_s) we can find Axial Load Capacity of Short Rectangular Members using the formula - 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)).

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)+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))))

Can the Axial Load Capacity of Short Rectangular Members be negative?

No, the Axial Load Capacity of Short Rectangular Members, measured in Force cannot be negative.

Which unit is used to measure Axial Load Capacity of Short Rectangular Members?

Axial Load Capacity of Short Rectangular Members is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Axial Load Capacity of Short Rectangular Members can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Axial Load Capacity of Short Rectangular Members Formula

​GoUltimate Strength for Symmetrical Reinforcement Formula

Axial Load Capacity of Short Rectangular Members Example

Axial Load Capacity of Short Rectangular Members Solution

Axial Load Capacity of Short Rectangular Members Formula Elements

Other Formulas to find Axial Load Capacity

Other formulas in Ultimate Strength Design of Concrete Columns category

How to Evaluate Axial Load Capacity of Short Rectangular Members?

FAQs on Axial Load Capacity of Short Rectangular Members

Variable Name

GoUltimate Strength for Symmetrical Reinforcement Formula