FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health
Fx Copy
LaTeX Copy
Axial Load Capacity is defined as the maximum load along the direction of the drive train. Check FAQs
Pu=0.85⋅b⋅L⋅f'c⋅Φ⋅(((((eL)-0.5)2)+(0.67⋅(DbL)⋅Rho'⋅m))-((eL)-0.5))
Pu - Axial Load Capacity?b - Width of Compression Face?L - Effective Length of Column?f'c - 28-Day Compressive Strength of Concrete?Φ - Resistance Factor?e - Eccentricity of Column?Db - Bar Diameter?Rho' - Area Ratio of Gross Area to Steel Area?m - Force Ratio of Strengths of Reinforcements?

Ultimate Strength for Short, Square Members when Controlled by Tension Example

With values
With units
Only example

Here is how the Ultimate Strength for Short, Square Members when Controlled by Tension equation looks like with Values.

Here is how the Ultimate Strength for Short, Square Members when Controlled by Tension equation looks like with Units.

Here is how the Ultimate Strength for Short, Square Members when Controlled by Tension equation looks like.

582742.6009Edit=0.85⋅5Edit⋅3000Edit⋅55Edit⋅0.85Edit⋅(((((35Edit3000Edit)-0.5)2)+(0.67⋅(12Edit3000Edit)⋅0.9Edit⋅0.4Edit))-((35Edit3000Edit)-0.5))
Solution
Copy
Reset
Share
You are here -

Ultimate Strength for Short, Square Members when Controlled by Tension Solution

Follow our step by step solution on how to calculate Ultimate Strength for Short, Square Members when Controlled by Tension?

FIRST Step Consider the formula
Pu=0.85⋅b⋅L⋅f'c⋅Φ⋅(((((eL)-0.5)2)+(0.67⋅(DbL)⋅Rho'⋅m))-((eL)-0.5))
Next Step Substitute values of Variables
∴ Pu=0.85⋅5mm⋅3000mm⋅55MPa⋅0.85⋅(((((35mm3000mm)-0.5)2)+(0.67⋅(12mm3000mm)⋅0.9⋅0.4))-((35mm3000mm)-0.5))
Next Step Convert Units
∴ Pu=0.85⋅0.005m⋅3m⋅5.5E+7Pa⋅0.85⋅(((((0.035m3m)-0.5)2)+(0.67⋅(0.012m3m)⋅0.9⋅0.4))-((0.035m3m)-0.5))
Next Step Prepare to Evaluate
∴ Pu=0.85⋅0.005⋅3⋅5.5E+7⋅0.85⋅(((((0.0353)-0.5)2)+(0.67⋅(0.0123)⋅0.9⋅0.4))-((0.0353)-0.5))
Next Step Evaluate
∴Pu=582742.600878204N
LAST Step Rounding Answer
∴Pu=582742.6009N

Ultimate Strength for Short, Square Members when Controlled by Tension Formula Elements

Variables
Functions
Axial Load Capacity
Axial Load Capacity is defined as the maximum load along the direction of the drive train.
Symbol: Pu
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Formulas to find Axial Load CapacityOpen Variable
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 FaceOpen Variable
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 ColumnOpen Variable
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 ConcreteOpen Variable
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 FactorOpen Variable
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 ColumnOpen Variable
Bar Diameter
Bar Diameter are most usually comprised to 12, 16, 20, and 25 mm.
Symbol: Db
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Formulas to find Bar DiameterOpen Variable
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 AreaOpen Variable
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 ReinforcementsOpen Variable
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other Formulas to find Axial Load Capacity

​Go Ultimate Strength for Short, Square Members when Governed by Compression
Pu=Φ⋅((Ast⋅fy(3⋅eDb)+1)+(Ag⋅f'c(12⋅L⋅e(L+0.67⋅Db)2)+1.18))

How to Evaluate Ultimate Strength for Short, Square Members when Controlled by Tension?

Ultimate Strength for Short, Square Members when Controlled by Tension evaluator uses Axial Load Capacity = 0.85*Width of Compression Face*Effective Length of Column*28-Day Compressive Strength of Concrete*Resistance Factor*((sqrt((((Eccentricity of Column/Effective Length of Column)-0.5)^2)+(0.67*(Bar Diameter/Effective Length of Column)*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)))-((Eccentricity of Column/Effective Length of Column)-0.5)) to evaluate the Axial Load Capacity, The Ultimate Strength for Short, Square Members when Controlled by Tension 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 Pu symbol.

How to evaluate Ultimate Strength for Short, Square Members when Controlled by Tension using this online evaluator? To use this online evaluator for Ultimate Strength for Short, Square Members when Controlled by Tension, enter Width of Compression Face (b), Effective Length of Column (L), 28-Day Compressive Strength of Concrete (f'c), Resistance Factor (Φ), Eccentricity of Column (e), Bar Diameter (Db), Area Ratio of Gross Area to Steel Area (Rho') & Force Ratio of Strengths of Reinforcements (m) and hit the calculate button.

FAQs on Ultimate Strength for Short, Square Members when Controlled by Tension

What is the formula to find Ultimate Strength for Short, Square Members when Controlled by Tension?
The formula of Ultimate Strength for Short, Square Members when Controlled by Tension is expressed as Axial Load Capacity = 0.85*Width of Compression Face*Effective Length of Column*28-Day Compressive Strength of Concrete*Resistance Factor*((sqrt((((Eccentricity of Column/Effective Length of Column)-0.5)^2)+(0.67*(Bar Diameter/Effective Length of Column)*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)))-((Eccentricity of Column/Effective Length of Column)-0.5)). Here is an example- 582742.6 = 0.85*0.005*3*55000000*0.85*((sqrt((((0.035/3)-0.5)^2)+(0.67*(0.012/3)*0.9*0.4)))-((0.035/3)-0.5)).
How to calculate Ultimate Strength for Short, Square Members when Controlled by Tension?
With Width of Compression Face (b), Effective Length of Column (L), 28-Day Compressive Strength of Concrete (f'c), Resistance Factor (Φ), Eccentricity of Column (e), Bar Diameter (Db), Area Ratio of Gross Area to Steel Area (Rho') & Force Ratio of Strengths of Reinforcements (m) we can find Ultimate Strength for Short, Square Members when Controlled by Tension using the formula - Axial Load Capacity = 0.85*Width of Compression Face*Effective Length of Column*28-Day Compressive Strength of Concrete*Resistance Factor*((sqrt((((Eccentricity of Column/Effective Length of Column)-0.5)^2)+(0.67*(Bar Diameter/Effective Length of Column)*Area Ratio of Gross Area to Steel Area*Force Ratio of Strengths of Reinforcements)))-((Eccentricity of Column/Effective Length of Column)-0.5)). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Axial Load Capacity?
Here are the different ways to Calculate Axial Load Capacity-
  • 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/((12*Effective Length of Column*Eccentricity of Column/((Effective Length of Column+0.67*Bar Diameter)^2))+1.18)))OpenImg
Can the Ultimate Strength for Short, Square Members when Controlled by Tension be negative?
No, the Ultimate Strength for Short, Square Members when Controlled by Tension, measured in Force cannot be negative.
Which unit is used to measure Ultimate Strength for Short, Square Members when Controlled by Tension?
Ultimate Strength for Short, Square Members when Controlled by Tension 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 Short, Square Members when Controlled by Tension can be measured.
About | Contact | Disclaimer | Terms | Privacy Policy
© 2025. Developed & Maintained by softUsvista Inc.
Copied!