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Stress in Concrete using Working-Stress Design Formula

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The compressive stress in extreme fiber of concrete. Check FAQs

f c = \frac{2 \cdot M}{k \cdot j \cdot b \cdot d^{2}}

f_c - Compressive Stress in Extreme Fiber of Concrete?M - Bending Moment?k - Ratio of Depth?j - Ratio of Distance between Centroid?b - Width of Beam?d - Effective Depth of Beam?

Stress in Concrete using Working-Stress Design Example

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Here is how the Stress in Concrete using Working-Stress Design equation looks like with Values.

Here is how the Stress in Concrete using Working-Stress Design equation looks like with Units.

Here is how the Stress in Concrete using Working-Stress Design equation looks like.

7.2838 = \frac{2 \cdot 35}{0.458 \cdot 0.847 \cdot 305 \cdot 285^{2}}

7.2838MPa = \frac{2 \cdot 35kN*m}{0.458 \cdot 0.847 \cdot 305mm \cdot {285mm}^{2}}

7.2838 = \frac{2 \cdot 35}{0.458 \cdot 0.847 \cdot 305 \cdot 285^{2}}

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Stress in Concrete using Working-Stress Design Solution

Follow our step by step solution on how to calculate Stress in Concrete using Working-Stress Design?

FIRST Step Consider the formula

f c = \frac{2 \cdot M}{k \cdot j \cdot b \cdot d^{2}}

Next Step Substitute values of Variables

∴

f c = \frac{2 \cdot 35kN*m}{0.458 \cdot 0.847 \cdot 305mm \cdot {285mm}^{2}}

Next Step Convert Units

∴

f c = \frac{2 \cdot 35000N*m}{0.458 \cdot 0.847 \cdot 0.305m \cdot {0.285m}^{2}}

Next Step Prepare to Evaluate

∴

f c = \frac{2 \cdot 35000}{0.458 \cdot 0.847 \cdot 0.305 \cdot {0.285}^{2}}

Next Step Evaluate

∴

f c = 7283826.4986548Pa

Next Step Convert to Output's Unit

∴

f c = 7.2838264986548MPa

LAST Step Rounding Answer

∴

f c = 7.2838MPa

Stress in Concrete using Working-Stress Design Formula Elements

Variables

Compressive Stress in Extreme Fiber of Concrete

The compressive stress in extreme fiber of concrete.

Symbol: f_c

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Compressive Stress in Extreme Fiber of Concrete

Bending Moment

The bending moment is the algebraic sum of the applied load to the given distance from the reference point.

Symbol: M

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Ratio of Depth

The ratio of depth of compression area to depth d.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Ratio of Depth

Ratio of Distance between Centroid

The ratio of distance between centroid of compression and centroid of tension to depth d.

Symbol: j

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Ratio of Distance between Centroid

Width of Beam

The width of beam is the beam width measured from end to end.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam

Effective Depth of Beam

The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Other formulas in Rectangular Beams with Tensile Reinforcing Only category

Go Stress in Steel using Working-Stress Design

f s = \frac{M}{p \cdot j \cdot b \cdot d^{2}}

Go Stress in Steel by Working-Stress Design

f s = \frac{M}{A s \cdot j \cdot d}

Go Bending Moment of Beam due to Stress in Concrete

M = (\frac{1}{2}) \cdot f c \cdot k \cdot j \cdot b \cdot d^{2}

Go Bending Moment of Beam due to Stress in Steel

M = f s \cdot p \cdot j \cdot b \cdot d^{2}

How to Evaluate Stress in Concrete using Working-Stress Design?

Stress in Concrete using Working-Stress Design evaluator uses Compressive Stress in Extreme Fiber of Concrete = (2*Bending Moment)/(Ratio of Depth*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2) to evaluate the Compressive Stress in Extreme Fiber of Concrete, The Stress in Concrete using Working-Stress Design formula is defined as stresses developed in the extreme fiber of concrete in the rectangular beams with tensile reinforcing. Compressive Stress in Extreme Fiber of Concrete is denoted by f_c symbol.

How to evaluate Stress in Concrete using Working-Stress Design using this online evaluator? To use this online evaluator for Stress in Concrete using Working-Stress Design, enter Bending Moment (M), Ratio of Depth (k), Ratio of Distance between Centroid (j), Width of Beam (b) & Effective Depth of Beam (d) and hit the calculate button.

FAQs on Stress in Concrete using Working-Stress Design

What is the formula to find Stress in Concrete using Working-Stress Design?

The formula of Stress in Concrete using Working-Stress Design is expressed as Compressive Stress in Extreme Fiber of Concrete = (2*Bending Moment)/(Ratio of Depth*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2). Here is an example- 7.3E-6 = (2*35000)/(0.458*0.847*0.305*0.285^2).

How to calculate Stress in Concrete using Working-Stress Design?

With Bending Moment (M), Ratio of Depth (k), Ratio of Distance between Centroid (j), Width of Beam (b) & Effective Depth of Beam (d) we can find Stress in Concrete using Working-Stress Design using the formula - Compressive Stress in Extreme Fiber of Concrete = (2*Bending Moment)/(Ratio of Depth*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2).

Can the Stress in Concrete using Working-Stress Design be negative?

Yes, the Stress in Concrete using Working-Stress Design, measured in Stress can be negative.

Which unit is used to measure Stress in Concrete using Working-Stress Design?

Stress in Concrete using Working-Stress Design is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Stress in Concrete using Working-Stress Design can be measured.

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Stress in Concrete using Working-Stress Design Formula

Stress in Concrete using Working-Stress Design Example

Stress in Concrete using Working-Stress Design Solution

Stress in Concrete using Working-Stress Design Formula Elements

Other formulas in Rectangular Beams with Tensile Reinforcing Only category

How to Evaluate Stress in Concrete using Working-Stress Design?

FAQs on Stress in Concrete using Working-Stress Design

Variable Name