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Section Modulus of Steel Beam given Stress in Steel for Unshored Members Formula

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Section Modulus of Steel Beam is a geometric property for a given cross-section used in the design of steel beams or flexural members. Check FAQs

S s = \frac{M D(unshored)}{f steel stress - (\frac{M L}{S tr})}

S_s - Section Modulus of Steel Beam?M_D(unshored) - Dead Load Moment for Unshored Member?f_{steel stress} - Tensile Steel Stress?M_L - Live Load Moment?S_tr - Section Modulus of Transformed Composite Section?

Section Modulus of Steel Beam given Stress in Steel for Unshored Members Example

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Here is how the Section Modulus of Steel Beam given Stress in Steel for Unshored Members equation looks like with Values.

Here is how the Section Modulus of Steel Beam given Stress in Steel for Unshored Members equation looks like with Units.

Here is how the Section Modulus of Steel Beam given Stress in Steel for Unshored Members equation looks like.

150 = \frac{8931}{60 - (\frac{115}{250})}

150mm³ = \frac{8931N*mm}{60N/mm² - (\frac{115N*mm}{250mm³})}

150 = \frac{8931}{60 - (\frac{115}{250})}

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Section Modulus of Steel Beam given Stress in Steel for Unshored Members Solution

Follow our step by step solution on how to calculate Section Modulus of Steel Beam given Stress in Steel for Unshored Members?

FIRST Step Consider the formula

S s = \frac{M D(unshored)}{f steel stress - (\frac{M L}{S tr})}

Next Step Substitute values of Variables

∴

S s = \frac{8931N*mm}{60N/mm² - (\frac{115N*mm}{250mm³})}

Next Step Convert Units

∴

S s = \frac{8.931N*m}{6E+7Pa - (\frac{0.115N*m}{2.5E-7m³})}

Next Step Prepare to Evaluate

∴

S s = \frac{8.931}{6E+7 - (\frac{0.115}{2.5E-7})}

Next Step Evaluate

∴

S s = 1.5E-07m³

LAST Step Convert to Output's Unit

∴

S s = 150mm³

Section Modulus of Steel Beam given Stress in Steel for Unshored Members Formula Elements

Variables

Section Modulus of Steel Beam

Section Modulus of Steel Beam is a geometric property for a given cross-section used in the design of steel beams or flexural members.

Symbol: S_s

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus of Steel Beam

Dead Load Moment for Unshored Member

Dead Load Moment for Unshored Member is the moment generated due to dead load acting on unshored member.

Symbol: M_D(unshored)

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Dead Load Moment for Unshored Member

Tensile Steel Stress

Tensile Steel Stress is the stress developed in steel (tensile steel).

Symbol: f_{steel stress}

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Steel Stress

Live Load Moment

Live Load Moment is the moment generated due to dead load acting to member.

Symbol: M_L

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Live Load Moment

Section Modulus of Transformed Composite Section

Section Modulus of Transformed Composite Section is a geometric property influencing stress in steel.

Symbol: S_tr

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus of Transformed Composite Section

Other formulas in Bending Stresses category

Go Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members

S tr = \frac{M L}{f steel stress - (\frac{M D(unshored)}{S s})}

Go Section Modulus of Transformed Composite Section given Stress in Steel for Shored Members

S tr = \frac{M D(shored) + M L}{f steel stress}

Go Stress in Steel for Unshored Members

f steel stress = (\frac{M D(unshored)}{S s}) + (\frac{M L}{S tr})

Go Stress in Steel for Shored Members

f steel stress = \frac{M D(shored) + M L}{S tr}

How to Evaluate Section Modulus of Steel Beam given Stress in Steel for Unshored Members?

Section Modulus of Steel Beam given Stress in Steel for Unshored Members evaluator uses Section Modulus of Steel Beam = Dead Load Moment for Unshored Member/(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section)) to evaluate the Section Modulus of Steel Beam, The Section Modulus of Steel Beam given Stress in Steel for Unshored Members formula is defined as the ratio of moment of inertia to the distance of extreme fiber for planar isotropic section. Section Modulus of Steel Beam is denoted by S_s symbol.

How to evaluate Section Modulus of Steel Beam given Stress in Steel for Unshored Members using this online evaluator? To use this online evaluator for Section Modulus of Steel Beam given Stress in Steel for Unshored Members, enter Dead Load Moment for Unshored Member (M_D(unshored)), Tensile Steel Stress (f_{steel stress}), Live Load Moment (M_L) & Section Modulus of Transformed Composite Section (S_tr) and hit the calculate button.

FAQs on Section Modulus of Steel Beam given Stress in Steel for Unshored Members

What is the formula to find Section Modulus of Steel Beam given Stress in Steel for Unshored Members?

The formula of Section Modulus of Steel Beam given Stress in Steel for Unshored Members is expressed as Section Modulus of Steel Beam = Dead Load Moment for Unshored Member/(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section)). Here is an example- 1.5E+11 = 8.931/(60000000-(0.115/2.5E-07)).

How to calculate Section Modulus of Steel Beam given Stress in Steel for Unshored Members?

With Dead Load Moment for Unshored Member (M_D(unshored)), Tensile Steel Stress (f_{steel stress}), Live Load Moment (M_L) & Section Modulus of Transformed Composite Section (S_tr) we can find Section Modulus of Steel Beam given Stress in Steel for Unshored Members using the formula - Section Modulus of Steel Beam = Dead Load Moment for Unshored Member/(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section)).

Can the Section Modulus of Steel Beam given Stress in Steel for Unshored Members be negative?

No, the Section Modulus of Steel Beam given Stress in Steel for Unshored Members, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus of Steel Beam given Stress in Steel for Unshored Members?

Section Modulus of Steel Beam given Stress in Steel for Unshored Members is usually measured using the Cubic Millimeter[mm³] for Volume. Cubic Meter[mm³], Cubic Centimeter[mm³], Liter[mm³] are the few other units in which Section Modulus of Steel Beam given Stress in Steel for Unshored Members can be measured.

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Section Modulus of Steel Beam given Stress in Steel for Unshored Members Formula

Section Modulus of Steel Beam given Stress in Steel for Unshored Members Example

Section Modulus of Steel Beam given Stress in Steel for Unshored Members Solution

Section Modulus of Steel Beam given Stress in Steel for Unshored Members Formula Elements

Other formulas in Bending Stresses category

How to Evaluate Section Modulus of Steel Beam given Stress in Steel for Unshored Members?

FAQs on Section Modulus of Steel Beam given Stress in Steel for Unshored Members

Variable Name