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Moment Resistance of Concrete given Flange Thickness Formula

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Moment Resistance of Concrete is the couple produced by the internal forces in a sectional member subjected to bending under the maximum permissible stress. Check FAQs

M c = \frac{1}{2} \cdot f c \cdot W b \cdot t f \cdot (d eff - (\frac{t f}{2}))

M_c - Moment Resistance of Concrete?f_c - 28 Day Compressive Strength of Concrete?W_b - Width of Beam?t_f - Flange Thickness?d_eff - Effective Depth of Beam?

Moment Resistance of Concrete given Flange Thickness Example

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Here is how the Moment Resistance of Concrete given Flange Thickness equation looks like with Values.

Here is how the Moment Resistance of Concrete given Flange Thickness equation looks like with Units.

Here is how the Moment Resistance of Concrete given Flange Thickness equation looks like.

53.0617 = \frac{1}{2} \cdot 15 \cdot 18 \cdot 99.5 \cdot (4 - (\frac{99.5}{2}))

53.0617kN*m = \frac{1}{2} \cdot 15MPa \cdot 18mm \cdot 99.5mm \cdot (4m - (\frac{99.5mm}{2}))

53.0617 = \frac{1}{2} \cdot 15 \cdot 18 \cdot 99.5 \cdot (4 - (\frac{99.5}{2}))

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Moment Resistance of Concrete given Flange Thickness Solution

Follow our step by step solution on how to calculate Moment Resistance of Concrete given Flange Thickness?

FIRST Step Consider the formula

M c = \frac{1}{2} \cdot f c \cdot W b \cdot t f \cdot (d eff - (\frac{t f}{2}))

Next Step Substitute values of Variables

∴

M c = \frac{1}{2} \cdot 15MPa \cdot 18mm \cdot 99.5mm \cdot (4m - (\frac{99.5mm}{2}))

Next Step Convert Units

∴

M c = \frac{1}{2} \cdot 1.5E+7Pa \cdot 0.018m \cdot 0.0995m \cdot (4m - (\frac{0.0995m}{2}))

Next Step Prepare to Evaluate

∴

M c = \frac{1}{2} \cdot 1.5E+7 \cdot 0.018 \cdot 0.0995 \cdot (4 - (\frac{0.0995}{2}))

Next Step Evaluate

∴

M c = 53061.733125N*m

Next Step Convert to Output's Unit

∴

M c = 53.061733125kN*m

LAST Step Rounding Answer

∴

M c = 53.0617kN*m

Moment Resistance of Concrete given Flange Thickness Formula Elements

Variables

Moment Resistance of Concrete

Moment Resistance of Concrete is the couple produced by the internal forces in a sectional member subjected to bending under the maximum permissible stress.

Symbol: M_c

Measurement: TorqueUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Moment Resistance of Concrete

28 Day Compressive Strength of Concrete

28 Day Compressive Strength of Concrete is defined as the strength of the concrete after 28 days of using it.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 28 Day Compressive Strength of Concrete

Width of Beam

Width of Beam is the horizontal measurement taken perpendicular to the length of beam.

Symbol: W_b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam

Flange Thickness

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.

Symbol: t_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Flange Thickness

Effective Depth of Beam

Effective Depth of Beam is the distance from the centroid of tension steel to the outermost face of the compression fiber.

Symbol: d_eff

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Other formulas in Singly Reinforced Flanged Sections category

Go Total Compressive Force given Area and Tensile Steel Stress

C = A \cdot f TS

Go Moment Resistance of Steel

M s = (T \cdot r \cdot d eff) + (A \cdot f TS \cdot r \cdot d eff)

How to Evaluate Moment Resistance of Concrete given Flange Thickness?

Moment Resistance of Concrete given Flange Thickness evaluator 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 evaluate 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 evaluate Moment Resistance of Concrete given Flange Thickness using this online evaluator? To use this online evaluator 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.

FAQs on Moment Resistance of Concrete given Flange Thickness

What is the formula to find Moment Resistance of Concrete given Flange Thickness?

The formula of Moment Resistance of Concrete given Flange Thickness is expressed as Moment Resistance of Concrete = 1/2*28 Day Compressive Strength of Concrete*Width of Beam*Flange Thickness*(Effective Depth of Beam-(Flange Thickness/2)). Here is an example- 0.053062 = 1/2*15000000*0.018*0.0995*(4-(0.0995/2)).

How to calculate Moment Resistance of Concrete given Flange Thickness?

With 28 Day Compressive Strength of Concrete (f_c), Width of Beam (W_b), Flange Thickness (t_f) & Effective Depth of Beam (d_eff) we can find Moment Resistance of Concrete given Flange Thickness using the 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)).

Can the Moment Resistance of Concrete given Flange Thickness be negative?

No, the Moment Resistance of Concrete given Flange Thickness, measured in Torque cannot be negative.

Which unit is used to measure Moment Resistance of Concrete given Flange Thickness?

Moment Resistance of Concrete given Flange Thickness is usually measured using the Kilonewton Meter[kN*m] for Torque. Newton Meter[kN*m], Newton Centimeter[kN*m], Newton Millimeter[kN*m] are the few other units in which Moment Resistance of Concrete given Flange Thickness can be measured.

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Moment Resistance of Concrete given Flange Thickness Formula

Moment Resistance of Concrete given Flange Thickness Example

Moment Resistance of Concrete given Flange Thickness Solution

Moment Resistance of Concrete given Flange Thickness Formula Elements

Other formulas in Singly Reinforced Flanged Sections category

How to Evaluate Moment Resistance of Concrete given Flange Thickness?

FAQs on Moment Resistance of Concrete given Flange Thickness

Variable Name