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Bending Moment of Beam due to Stress in Steel Formula

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

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

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

Bending Moment of Beam due to Stress in Steel Example

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Here is how the Bending Moment of Beam due to Stress in Steel equation looks like with Values.

Here is how the Bending Moment of Beam due to Stress in Steel equation looks like with Units.

Here is how the Bending Moment of Beam due to Stress in Steel equation looks like.

35.1889 = 130 \cdot 0.0129 \cdot 0.847 \cdot 305 \cdot 285^{2}

35.1889kN*m = 130MPa \cdot 0.0129 \cdot 0.847 \cdot 305mm \cdot {285mm}^{2}

35.1889 = 130 \cdot 0.0129 \cdot 0.847 \cdot 305 \cdot 285^{2}

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Bending Moment of Beam due to Stress in Steel Solution

Follow our step by step solution on how to calculate Bending Moment of Beam due to Stress in Steel?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = 130MPa \cdot 0.0129 \cdot 0.847 \cdot 305mm \cdot {285mm}^{2}

Next Step Convert Units

∴

M = 1.3E+8Pa \cdot 0.0129 \cdot 0.847 \cdot 0.305m \cdot {0.285m}^{2}

Next Step Prepare to Evaluate

∴

M = 1.3E+8 \cdot 0.0129 \cdot 0.847 \cdot 0.305 \cdot {0.285}^{2}

Next Step Evaluate

∴

M = 35188.927648875N*m

Next Step Convert to Output's Unit

∴

M = 35.188927648875kN*m

LAST Step Rounding Answer

∴

M = 35.1889kN*m

Bending Moment of Beam due to Stress in Steel Formula Elements

Variables

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

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

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 Bending Moment

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}

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 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}

How to Evaluate Bending Moment of Beam due to Stress in Steel?

Bending Moment of Beam due to Stress in Steel evaluator uses Bending Moment = Stress in Reinforcement*Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2 to evaluate the Bending Moment, The Bending Moment of Beam due to Stress in Steel formula is defined as the bending moment caused in the rectangular beam due to the stresses caused in the steel. Bending Moment is denoted by M symbol.

How to evaluate Bending Moment of Beam due to Stress in Steel using this online evaluator? To use this online evaluator for Bending Moment of Beam due to Stress in Steel, enter Stress in Reinforcement (f_s), 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 Bending Moment of Beam due to Stress in Steel

What is the formula to find Bending Moment of Beam due to Stress in Steel?

The formula of Bending Moment of Beam due to Stress in Steel is expressed as Bending Moment = Stress in Reinforcement*Ratio of Cross-Sectional Area*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2. Here is an example- 0.035189 = 130000000*0.0129*0.847*0.305*0.285^2.

How to calculate Bending Moment of Beam due to Stress in Steel?

With Stress in Reinforcement (f_s), Ratio of Cross-Sectional Area (p), Ratio of Distance between Centroid (j), Width of Beam (b) & Effective Depth of Beam (d) we can find Bending Moment of Beam due to Stress in Steel using the formula - Bending Moment = Stress in Reinforcement*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 Bending Moment?

Here are the different ways to Calculate Bending Moment-

Bending Moment=(1/2)*Compressive Stress in Extreme Fiber of Concrete*Ratio of Depth*Ratio of Distance between Centroid*Width of Beam*Effective Depth of Beam^2

Can the Bending Moment of Beam due to Stress in Steel be negative?

No, the Bending Moment of Beam due to Stress in Steel, measured in Moment of Force cannot be negative.

Which unit is used to measure Bending Moment of Beam due to Stress in Steel?

Bending Moment of Beam due to Stress in Steel is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Bending Moment of Beam due to Stress in Steel can be measured.

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Bending Moment of Beam due to Stress in Steel Formula

​GoBending Moment of Beam due to Stress in Concrete Formula

Bending Moment of Beam due to Stress in Steel Example

Bending Moment of Beam due to Stress in Steel Solution

Bending Moment of Beam due to Stress in Steel Formula Elements

Other Formulas to find Bending Moment

Other formulas in Rectangular Beams with Tensile Reinforcing Only category

How to Evaluate Bending Moment of Beam due to Stress in Steel?

FAQs on Bending Moment of Beam due to Stress in Steel

Variable Name

GoBending Moment of Beam due to Stress in Concrete Formula