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Stress in Steel using Working-Stress Design Formula

GoStress in Steel by Working-Stress Design Formula

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The stress in reinforcement is the stress caused by bending moment of the beam having tensile reinforcement. Check FAQs

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

f_s - Stress in Reinforcement?M - Bending Moment?p - Ratio of Cross-Sectional Area?j - Ratio of Distance between Centroid?b - Width of Beam?d - Effective Depth of Beam?

Stress in Steel using Working-Stress Design Example

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

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

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

129.302 = \frac{35}{0.0129 \cdot 0.847 \cdot 305 \cdot 285^{2}}

129.302MPa = \frac{35kN*m}{0.0129 \cdot 0.847 \cdot 305mm \cdot {285mm}^{2}}

129.302 = \frac{35}{0.0129 \cdot 0.847 \cdot 305 \cdot 285^{2}}

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Stress in Steel using Working-Stress Design Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f s = \frac{35kN*m}{0.0129 \cdot 0.847 \cdot 305mm \cdot {285mm}^{2}}

Next Step Convert Units

∴

f s = \frac{35000N*m}{0.0129 \cdot 0.847 \cdot 0.305m \cdot {0.285m}^{2}}

Next Step Prepare to Evaluate

∴

f s = \frac{35000}{0.0129 \cdot 0.847 \cdot 0.305 \cdot {0.285}^{2}}

Next Step Evaluate

∴

f s = 129302036.29395Pa

Next Step Convert to Output's Unit

∴

f s = 129.30203629395MPa

LAST Step Rounding Answer

∴

f s = 129.302MPa

Stress in Steel using Working-Stress Design Formula Elements

Variables

Stress in Reinforcement

The stress in reinforcement is the stress caused by bending moment of the beam having tensile reinforcement.

Symbol: f_s

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in Reinforcement

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 Cross-Sectional Area

The ratio of cross-sectional area of tensile reinforcing to area of the beam (As/bd).

Symbol: p

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Ratio of Cross-Sectional Area

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 to find Stress in Reinforcement

Go Stress in Steel by Working-Stress Design

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

Other formulas in Rectangular Beams with Tensile Reinforcing Only category

Go Stress in Concrete using Working-Stress Design

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

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 Steel using Working-Stress Design?

Stress in Steel using Working-Stress Design evaluator uses Stress in Reinforcement = Bending Moment/(Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2) to evaluate the Stress in Reinforcement, The Stress in Steel using Working-Stress Design is defined as the stresses developed in the concrete beam with tensile reinforcing only due to the bending moment. Stress in Reinforcement is denoted by f_s symbol.

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

FAQs on Stress in Steel using Working-Stress Design

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

The formula of Stress in Steel using Working-Stress Design is expressed as Stress in Reinforcement = Bending Moment/(Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2). Here is an example- 0.000129 = 35000/(0.0129*0.847*0.305*0.285^2).

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

With Bending Moment (M), Ratio of Cross-Sectional Area (p), Ratio of Distance between Centroid (j), Width of Beam (b) & Effective Depth of Beam (d) we can find Stress in Steel using Working-Stress Design using the formula - Stress in Reinforcement = Bending Moment/(Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2).

What are the other ways to Calculate Stress in Reinforcement?

Here are the different ways to Calculate Stress in Reinforcement-

Stress in Reinforcement=Bending Moment/(Cross-Sectional Area of Tensile Reinforcing*Ratio of Distance between Centroid*Effective Depth of Beam)

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

No, the Stress in Steel using Working-Stress Design, measured in Stress cannot be negative.

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

Stress in Steel 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 Steel using Working-Stress Design can be measured.

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Stress in Steel using Working-Stress Design Formula

​GoStress in Steel by Working-Stress Design Formula

Stress in Steel using Working-Stress Design Example

Stress in Steel using Working-Stress Design Solution

Stress in Steel using Working-Stress Design Formula Elements

Other Formulas to find Stress in Reinforcement

Other formulas in Rectangular Beams with Tensile Reinforcing Only category

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

FAQs on Stress in Steel using Working-Stress Design

Variable Name

GoStress in Steel by Working-Stress Design Formula