Bending Moment for Tied Columns Calculator

✖Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.ⓘ Area of Tension Reinforcement [A]			+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%
✖Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).ⓘ Distance from Compression to Tensile Reinforcement [d]			+10% -10%
✖Distance Compression to Centroid Reinforcement is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).ⓘ Distance Compression to Centroid Reinforcement [d']			+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 Tied Columns [M]

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Formula

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Bending Moment for Tied Columns

Formula

`"M" = 0.40*"A"*"f"_{"y"}*("d"-"d'")`

Example

`"419.62kN*m"=0.40*"10m²"*"9.99MPa"*("20.001mm"-"9.5mm")`

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Bending Moment for Tied Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = 0.40*Area of Tension Reinforcement*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement)
M = 0.40*A*f_y*(d-d')
This formula uses 5 Variables

Variables Used

Bending Moment - (Measured in Kilonewton 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.
Area of Tension Reinforcement - (Measured in Square Meter) - Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.
Yield Strength of Reinforcement - (Measured in Megapascal) - Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs.
Distance from Compression to Tensile Reinforcement - (Measured in Millimeter) - Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm).
Distance Compression to Centroid Reinforcement - (Measured in Millimeter) - Distance Compression to Centroid Reinforcement is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).

STEP 1: Convert Input(s) to Base Unit

Area of Tension Reinforcement: 10 Square Meter --> 10 Square Meter No Conversion Required
Yield Strength of Reinforcement: 9.99 Megapascal --> 9.99 Megapascal No Conversion Required
Distance from Compression to Tensile Reinforcement: 20.001 Millimeter --> 20.001 Millimeter No Conversion Required
Distance Compression to Centroid Reinforcement: 9.5 Millimeter --> 9.5 Millimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = 0.40*A*f_y*(d-d') --> 0.40*10*9.99*(20.001-9.5)

Evaluating ... ...

M = 419.61996

STEP 3: Convert Result to Output's Unit

419619.96 Newton Meter -->419.61996 Kilonewton Meter (Check conversion here)

FINAL ANSWER

419.61996 ≈ 419.62 Kilonewton Meter <-- Bending Moment

(Calculation completed in 00.004 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 Tied Columns

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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 Tied Columns Formula

What are Tied Columns?

Tied columns are in which the longitudinal reinforcement bars are tied together with separate smaller diameter transverse bars (ties) spaced at some interval along the column height. These ties help to hold the longitudinal reinforcement bars in place during construction and ensure the stability of these bars against local buckling.

How to Calculate Bending Moment for Tied Columns?

Bending Moment for Tied Columns calculator uses Bending Moment = 0.40*Area of Tension Reinforcement*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement) to calculate the Bending Moment, The Bending Moment for Tied Columns is defined as the reaction induced in the 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 Tied Columns using this online calculator? To use this online calculator for Bending Moment for Tied Columns, enter Area of Tension Reinforcement (A), Yield Strength of Reinforcement (f_y), Distance from Compression to Tensile Reinforcement (d) & Distance Compression to Centroid Reinforcement (d') and hit the calculate button. Here is how the Bending Moment for Tied Columns calculation can be explained with given input values -> 0.0004 = 0.40*10*9990000*(0.020001-0.0095).

FAQ

What is Bending Moment for Tied Columns?

The Bending Moment for Tied Columns is defined as the reaction induced in the column when an external force or moment is applied to the element, causing the element to bend and is represented as M = 0.40*A*f_y*(d-d') or Bending Moment = 0.40*Area of Tension Reinforcement*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement). Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section, Yield Strength of Reinforcement is stress at which a predetermined amount of permanent deformation occurs, Distance from Compression to Tensile Reinforcement is defined as the distance from extreme compression surface to the centroid of tensile reinforcement, in (mm) & Distance Compression to Centroid Reinforcement is defined as the distance from extreme compression surface to the centroid of compression reinforcement, in (mm).

How to calculate Bending Moment for Tied Columns?

The Bending Moment for Tied Columns is defined as the reaction induced in the column when an external force or moment is applied to the element, causing the element to bend is calculated using Bending Moment = 0.40*Area of Tension Reinforcement*Yield Strength of Reinforcement*(Distance from Compression to Tensile Reinforcement-Distance Compression to Centroid Reinforcement). To calculate Bending Moment for Tied Columns, you need Area of Tension Reinforcement (A), Yield Strength of Reinforcement (f_y), Distance from Compression to Tensile Reinforcement (d) & Distance Compression to Centroid Reinforcement (d'). With our tool, you need to enter the respective value for Area of Tension Reinforcement, Yield Strength of Reinforcement, Distance from Compression to Tensile Reinforcement & Distance Compression to Centroid Reinforcement 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 Area of Tension Reinforcement, Yield Strength of Reinforcement, Distance from Compression to Tensile Reinforcement & Distance Compression to Centroid Reinforcement. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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