Moment Resistance of Concrete given Flange Thickness Calculator

✖28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.ⓘ 28 Day Compressive Strength of Concrete [f_c]			+10% -10%
✖Width of Beam is the horizontal measurement taken perpendicular to the length of beam.ⓘ Width of Beam [W_b]			+10% -10%
✖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.ⓘ Flange Thickness [t_f]			+10% -10%
✖Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.ⓘ Effective Depth of Beam [d_eff]			+10% -10%

✖Moment Resistance of Concrete is the couple produced by the internal forces in a sectional member subjected to bending under the maximum permissible stress.ⓘ Moment Resistance of Concrete given Flange Thickness [M_c]

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Formula

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Moment Resistance of Concrete given Flange Thickness

Formula

`"M"_{"c"} = 1/2*"f"_{"c"}*"W"_{"b"}*"t"_{"f"}*("d"_{"eff"}-("t"_{"f"}/2))`

Example

`"53.06173kN*m"=1/2*"15MPa"*"18mm"*"99.5mm"*("4m"-("99.5mm"/2))`

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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))
M_c = 1/2*f_c*W_b*t_f*(d_eff-(t_f/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

M_c = 1/2*f_c*W_b*t_f*(d_eff-(t_f/2)) --> 1/2*15000000*0.018*0.0995*(4-(0.0995/2))

Evaluating ... ...

M_c = 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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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Analysis Using Working Stress Method » Singly Reinforced Sections » Singly Reinforced Flanged Sections » Moment Resistance of Concrete given Flange Thickness

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< 3 Singly Reinforced Flanged Sections Calculators

Moment Resistance of Steel

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

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

Go Total Compressive Force = Area of Tension Reinforcement*Tensile Stress in Steel

Moment Resistance of Concrete given Flange Thickness Formula

Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2))
M_c = 1/2*f_c*W_b*t_f*(d_eff-(t_f/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 M_c 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 (f_c), Width of Beam (W_b), Flange Thickness (t_f) & Effective Depth of Beam (d_eff) 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 M_c = 1/2*f_c*W_b*t_f*(d_eff-(t_f/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 (f_c), Width of Beam (W_b), Flange Thickness (t_f) & Effective Depth of Beam (d_eff). 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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