Moment Resistance of Concrete given Flange Thickness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2))
Mc = 1/2*fc*Wb*tf*(deff-(tf/2))
This formula uses 5 Variables
Variables Used
Moment Resistance of Concrete - (Measured in Newton Meter) - Moment Resistance of Concrete is the couple produced by the internal forces in a sectional member subjected to bending under the maximum permissible stress.
28 Day Compressive Strength of Concrete - (Measured in Pascal) - 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.
Width of Beam - (Measured in Meter) - Width of Beam is the horizontal measurement taken perpendicular to the length of beam.
Flange Thickness - (Measured in Meter) - Flange Thickness is the thickness of flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.
Effective Depth of Beam - (Measured in Meter) - Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.
STEP 1: Convert Input(s) to Base Unit
28 Day Compressive Strength of Concrete: 15 Megapascal --> 15000000 Pascal (Check conversion ​here)
Width of Beam: 18 Millimeter --> 0.018 Meter (Check conversion ​here)
Flange Thickness: 99.5 Millimeter --> 0.0995 Meter (Check conversion ​here)
Effective Depth of Beam: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mc = 1/2*fc*Wb*tf*(deff-(tf/2)) --> 1/2*15000000*0.018*0.0995*(4-(0.0995/2))
Evaluating ... ...
Mc = 53061.733125
STEP 3: Convert Result to Output's Unit
53061.733125 Newton Meter -->53.061733125 Kilonewton Meter (Check conversion ​here)
FINAL ANSWER
53.061733125 53.06173 Kilonewton Meter <-- Moment Resistance of Concrete
(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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Moment Resistance of Steel
​ LaTeX ​ Go Moment Resistance of Steel = (Total Tension*Ratio of Distance between Centroids*Effective Depth of Beam)+(Area of Tension Reinforcement*Tensile Stress in Steel*Ratio of Distance between Centroids*Effective Depth of Beam)
Moment Resistance of Concrete given Flange Thickness
​ LaTeX ​ Go Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2))
Total Compressive Force given Area and Tensile Steel Stress
​ LaTeX ​ Go Total Compressive Force = Area of Tension Reinforcement*Tensile Stress in Steel

Moment Resistance of Concrete given Flange Thickness Formula

​LaTeX ​Go
Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2))
Mc = 1/2*fc*Wb*tf*(deff-(tf/2))

What is Flange in beam section?

Flange in a beam is a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam.

What is a T-beam?

A T-beam, used in construction, is a load-bearing structure of reinforced concrete, wood or metal, with a T-shaped cross section.

How to Calculate Moment Resistance of Concrete given Flange Thickness?

Moment Resistance of Concrete given Flange Thickness calculator uses Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2)) to calculate the Moment Resistance of Concrete, The Moment Resistance of Concrete given flange thickness is defined from the parameters of 28 day compressive strength of concrete fc, beam width b, effective depth of the beam d and flange thickness of the beam. Moment Resistance of Concrete is denoted by Mc symbol.

How to calculate Moment Resistance of Concrete given Flange Thickness using this online calculator? To use this online calculator for Moment Resistance of Concrete given Flange Thickness, enter 28 Day Compressive Strength of Concrete (fc), Width of Beam (Wb), Flange Thickness (tf) & Effective Depth of Beam (deff) and hit the calculate button. Here is how the Moment Resistance of Concrete given Flange Thickness calculation can be explained with given input values -> 0.053062 = 1/2*15000000*0.018*0.0995*(4-(0.0995/2)).

FAQ

What is Moment Resistance of Concrete given Flange Thickness?
The Moment Resistance of Concrete given flange thickness is defined from the parameters of 28 day compressive strength of concrete fc, beam width b, effective depth of the beam d and flange thickness of the beam and is represented as Mc = 1/2*fc*Wb*tf*(deff-(tf/2)) or Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2)). 28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it, Width of Beam is the horizontal measurement taken perpendicular to the length of beam, Flange Thickness is the thickness of flange in a protruded ridge, lip or rim, either external or internal of a beam such as an I-beam or a T-beam & Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.
How to calculate Moment Resistance of Concrete given Flange Thickness?
The Moment Resistance of Concrete given flange thickness is defined from the parameters of 28 day compressive strength of concrete fc, beam width b, effective depth of the beam d and flange thickness of the beam is calculated using Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2)). To calculate Moment Resistance of Concrete given Flange Thickness, you need 28 Day Compressive Strength of Concrete (fc), Width of Beam (Wb), Flange Thickness (tf) & Effective Depth of Beam (deff). With our tool, you need to enter the respective value for 28 Day Compressive Strength of Concrete, Width of Beam, Flange Thickness & Effective Depth of Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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