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Estimation of Effective Length of Columns

Formulas : 18 Size : 325 kb

Contents of the Short Columns PDF

List of 37 Short Columns Formulas

Allowable Bond Stress for Horizontal Tension Bars of Sizes and Deformations Conforming to ASTM A 408

Allowable Bond Stress for Other Tension Bars of Sizes and Deformations Conforming to ASTM A 408

Allowable Stress in Vertical Concrete Reinforcing given Total Allowable Axial Load

Area of Cross Section of Column given Crushing Stress

Area of Cross-Section given Compressive Stress Induced during Failure of Short Column

Area of Cross-Section given Stress due to Direct Load for Long Column

Axial Load at Balanced Condition

Axial Moment at Balanced Condition

Bending Moment for Spiral Columns

Bending Moment for Tied Columns

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

Column Diameter given Maximum Permissible Eccentricity for Spiral Columns

Compressive Load given Compressive Stress Induced during Failure of Short Column

Compressive Load given Stress Due to Direct Load for Long Column

Compressive Stress Induced during Failure of Short Column

Concrete Compressive Strength given Total Allowable Axial Load

Crushing Load for Short Column

Crushing Stress for Short Column

Gross Cross-Sectional Area of Column given Total Allowable Axial Load

Load Reduction Factor for Column with Fixed Ends

Load Reduction Factor for Member Bent in Single Curvature

Maximum Permissible Eccentricity for Spiral Columns

Maximum Permissible Eccentricity for Tied Columns

Maximum Stress for Failure of Long Column

Minimum Stress for Failure of Long Column

Radius of Gyration for Fixed End Columns using Load Reduction Factor

Radius of Gyration for Single Curvature Bent Member using Load Reduction Factor

Reinforcement Yield Strength given Axial Load for Tied Columns

Section Modulus about Axis of Bending for Long Column

Spiral Volume to Concrete-Core Volume Ratio

Stress Due to Bending at Center of Column given Maximum Stress for Failure of Long Column

Stress Due to Bending at Center of Column given Minimum Stress for Failure of Long Column

Stress Due to Direct Load for Long Column

Stress Due to Direct Load given Maximum Stress for Failure of Long Column

Tension Reinforcement Area given Axial Load for Tied Columns

Total Allowable Axial Load for Short Columns

Unsupported Column Length for Single Curvature Bent Member given Load Reduction Factor

Variables used in Short Columns PDF

A Area of Tension Reinforcement (Square Meter)
A_c Cross Sectional Area of Column (Square Millimeter)
A_g Gross Area of Column (Square Millimeter)
A_sectional Column Cross Sectional Area (Square Meter)
A_st Total Area (Square Meter)
d Distance from Compression to Tensile Reinforcement (Millimeter)
d' Distance Compression to Centroid Reinforcement (Millimeter)
D Column Diameter (Meter)
D_b Bar Diameter (Meter)
e Column Maximum Bending (Millimeter)
e_b Maximum Permissible Eccentricity (Meter)
f'_c Specified Compressive Strength at 28 Days (Pascal)
f'_s Allowable Stress in Vertical Reinforcement (Newton per Square Millimeter)
f_y Yield Strength of Reinforcement (Megapascal)
fck Characteristic Compressive Strength (Megapascal)
fy_steel Yield Strength of Steel (Megapascal)
l Length of Column (Millimeter)
m Force Ratio of Strengths of Reinforcements
M Bending Moment (Kilonewton Meter)
M_b Moment at Balanced Condition (Newton Meter)
N_b Axial Load at Balanced Condition (Newton)
P_allow Allowable Load (Kilonewton)
P_c Crushing load (Kilonewton)
P_compressive Column Compressive Load (Kilonewton)
p_g Area Ratio of Cross Sectional Area to Gross Area
p_s Ratio of Spiral to Concrete Core Volume
p_T Total Allowable Load (Newton)
r Radius of Gyration of Gross Concrete Area (Meter)
R Long Column Load Reduction Factor
S Section Modulus (Cubic Millimeter)
S_b Allowable Bond Stress (Newton per Square Meter)
t Overall Depth of Column (Meter)
σ Direct Stress (Megapascal)
σ_b Column Bending Stress (Megapascal)
σ_c Column Compressive Stress (Megapascal)
σ_crushing Column Crushing Stress (Megapascal)
σ_max Maximum Stress (Megapascal)
σ_min Minimum Stress Value (Megapascal)

Constants, Functions and Measurements used in Short Columns PDF

Function: sqrt, sqrt(Number)
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.
Measurement: Length in Meter (m), Millimeter (mm)
Length Unit Conversion
Measurement: Volume in Cubic Millimeter (mm³)
Volume Unit Conversion
Measurement: Area in Square Millimeter (mm²), Square Meter (m²)
Area Unit Conversion
Measurement: Pressure in Newton per Square Meter (N/m²), Pascal (Pa), Newton per Square Millimeter (N/mm²), Megapascal (MPa)
Pressure Unit Conversion
Measurement: Force in Kilonewton (kN), Newton (N)
Force Unit Conversion
Measurement: Moment of Force in Newton Meter (N*m), Kilonewton Meter (kN*m)
Moment of Force Unit Conversion
Measurement: Stress in Megapascal (MPa)
Stress Unit Conversion

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