Bending Moment for Spiral Columns Calculator

✖Total Area is the sum of all areas of of longitudinal reinforcement.ⓘ Total Area [A_st]			+10% -10%
✖Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.ⓘ Yield Strength of Reinforcement [f_y]			+10% -10%
✖Bar Diameter are most usually comprised to 12, 16, 20, and 25 mm.ⓘ Bar Diameter [D_b]			+10% -10%

✖The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment for Spiral Columns [M]

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Bending Moment for Spiral Columns

Formula

`"M" = 0.12*"A"_{"st"}*"f"_{"y"}*"D"_{"b"}`

Example

`"12.38121kN*m"=0.12*"8m²"*"9.99MPa"*"1.291m"`

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Bending Moment for Spiral Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = 0.12*Total Area*Yield Strength of Reinforcement*Bar Diameter
M = 0.12*A_st*f_y*D_b
This formula uses 4 Variables

Variables Used

Bending Moment - (Measured in Newton Meter) - The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Total Area - (Measured in Square Meter) - Total Area is the sum of all areas of of longitudinal reinforcement.
Yield Strength of Reinforcement - (Measured in Megapascal) - Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.
Bar Diameter - (Measured in Millimeter) - Bar Diameter are most usually comprised to 12, 16, 20, and 25 mm.

STEP 1: Convert Input(s) to Base Unit

Total Area: 8 Square Meter --> 8 Square Meter No Conversion Required
Yield Strength of Reinforcement: 9.99 Megapascal --> 9.99 Megapascal No Conversion Required
Bar Diameter: 1.291 Meter --> 1291 Millimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = 0.12*A_st*f_y*D_b --> 0.12*8*9.99*1291

Evaluating ... ...

M = 12381.2064

STEP 3: Convert Result to Output's Unit

12381.2064 Newton Meter -->12.3812064 Kilonewton Meter (Check conversion here)

FINAL ANSWER

12.3812064 ≈ 12.38121 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Design of Compression Members » Short Columns » Design Under Axial Compression with Biaxial Bending » Bending Moment for Spiral Columns

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Bhilai Institute of Technology (BIT), Raipur

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< 10+ Design Under Axial Compression with Biaxial Bending Calculators

Maximum Permissible Eccentricity for Tied Columns

Go Maximum Permissible Eccentricity = (0.67*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.17)*Distance from Compression to Tensile Reinforcement

Reinforcement Yield Strength given Axial Load for Tied Columns

Go Yield Strength of Reinforcement = (Bending Moment)/(0.40*Area of Tension Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement))

Tension Reinforcement Area given Axial Load for Tied Columns

Go Area of Tension Reinforcement = (Bending Moment)/(0.40*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement))

Bending Moment for Tied Columns

Go Bending Moment = 0.40*Area of Tension Reinforcement*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)

Circle Diameter given Maximum Permissible Eccentricity for Spiral Columns

Go Column Diameter = (Maximum Permissible Eccentricity-0.14*Overall Depth of Column)/(0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements)

Column Diameter given Maximum Permissible Eccentricity for Spiral Columns

Go Overall Depth of Column = (Maximum Permissible Eccentricity-0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter)/0.14

Maximum Permissible Eccentricity for Spiral Columns

Go Maximum Permissible Eccentricity = 0.43*Area Ratio of Cross Sectional Area to Gross Area*Force Ratio of Strengths of Reinforcements*Column Diameter+0.14*Overall Depth of Column

Bending Moment for Spiral Columns

Go Bending Moment = 0.12*Total Area*Yield Strength of Reinforcement*Bar Diameter

Axial Moment at Balanced Condition

Go Moment at Balanced Condition = Axial Load at Balanced Condition*Maximum Permissible Eccentricity

Axial Load at Balanced Condition

Go Axial Load at Balanced Condition = Moment at Balanced Condition/Maximum Permissible Eccentricity

Bending Moment for Spiral Columns Formula

Bending Moment = 0.12*Total Area*Yield Strength of Reinforcement*Bar Diameter
M = 0.12*A_st*f_y*D_b

What are Spiral Columns?

Spiral columns are those where the main longitudinal parts are enclosed within closely spaced any continuously wound spiral reinforcement (circular, square, octagonal sections).

How to Calculate Bending Moment for Spiral Columns?

Bending Moment for Spiral Columns calculator uses Bending Moment = 0.12*Total Area*Yield Strength of Reinforcement*Bar Diameter to calculate the Bending Moment, The Bending Moment for Spiral Columns is defined as the reaction induced in the spiral column when an external force or moment is applied to the element, causing the element to bend. Bending Moment is denoted by M symbol.

How to calculate Bending Moment for Spiral Columns using this online calculator? To use this online calculator for Bending Moment for Spiral Columns, enter Total Area (A_st), Yield Strength of Reinforcement (f_y) & Bar Diameter (D_b) and hit the calculate button. Here is how the Bending Moment for Spiral Columns calculation can be explained with given input values -> 0.399824 = 0.12*8*9990000*1.291.

FAQ

What is Bending Moment for Spiral Columns?

The Bending Moment for Spiral Columns is defined as the reaction induced in the spiral column when an external force or moment is applied to the element, causing the element to bend and is represented as M = 0.12*A_st*f_y*D_b or Bending Moment = 0.12*Total Area*Yield Strength of Reinforcement*Bar Diameter. Total Area is the sum of all areas of of longitudinal reinforcement, Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs & Bar Diameter are most usually comprised to 12, 16, 20, and 25 mm.

How to calculate Bending Moment for Spiral Columns?

The Bending Moment for Spiral Columns is defined as the reaction induced in the spiral column when an external force or moment is applied to the element, causing the element to bend is calculated using Bending Moment = 0.12*Total Area*Yield Strength of Reinforcement*Bar Diameter. To calculate Bending Moment for Spiral Columns, you need Total Area (A_st), Yield Strength of Reinforcement (f_y) & Bar Diameter (D_b). With our tool, you need to enter the respective value for Total Area, Yield Strength of Reinforcement & Bar Diameter and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bending Moment?

In this formula, Bending Moment uses Total Area, Yield Strength of Reinforcement & Bar Diameter. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending Moment = 0.40*Area of Tension Reinforcement*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)

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