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Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications Formula

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

S s = \frac{M D + M L}{σ max}

S_s - Section Modulus of Steel Beam?M_D - Dead Load Moment?M_L - Live Load Moment?σ_max - Maximum Stress?

Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications Example

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Here is how the Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications equation looks like with Values.

Here is how the Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications equation looks like with Units.

Here is how the Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications equation looks like.

181.1927 = \frac{280 + 115}{2.18}

181.1927mm³ = \frac{280N*mm + 115N*mm}{2.18N/mm²}

181.1927 = \frac{280 + 115}{2.18}

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Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications Solution

Follow our step by step solution on how to calculate Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications?

FIRST Step Consider the formula

S s = \frac{M D + M L}{σ max}

Next Step Substitute values of Variables

∴

S s = \frac{280N*mm + 115N*mm}{2.18N/mm²}

Next Step Convert Units

∴

S s = \frac{0.28N*m + 0.115N*m}{2.2E+6Pa}

Next Step Prepare to Evaluate

∴

S s = \frac{0.28 + 0.115}{2.2E+6}

Next Step Evaluate

∴

S s = 1.81192660550459E-07m³

Next Step Convert to Output's Unit

∴

S s = 181.192660550459mm³

LAST Step Rounding Answer

∴

S s = 181.1927mm³

Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications Formula Elements

Variables

Section Modulus of Steel Beam

Section Modulus of Steel Beam is a geometric property for a given cross-section used to design 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

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

Symbol: M_D

Measurement: TorqueUnit: N*mm

Note: Value can be positive or negative.

Formulas to find Dead Load Moment

Live Load Moment

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

Symbol: M_L

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Live Load Moment

Maximum Stress

Maximum Stress is the stress that material or section withstands before its fracture.

Symbol: σ_max

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Stress

Other formulas in Composite Construction in Buildings category

Go Maximum Stress in Bottom Flange

σ max = \frac{M D + M L}{S tr}

Go Maximum Unit Stress in Steel

σ max = (\frac{M D}{S s}) + (\frac{M L}{S tr})

Go Maximum Steel Stress as per AISC Specifications

σ max = \frac{M D + M L}{S s}

Go Dead Load Moment Given Maximum Stress in Bottom Flange

M D = (σ max \cdot S tr) - M L

How to Evaluate Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications?

Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications evaluator uses Section Modulus of Steel Beam = (Dead Load Moment+Live Load Moment)/Maximum Stress to evaluate the Section Modulus of Steel Beam, The Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members. Section Modulus of Steel Beam is denoted by S_s symbol.

How to evaluate Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications using this online evaluator? To use this online evaluator for Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications, enter Dead Load Moment (M_D), Live Load Moment (M_L) & Maximum Stress (σ_max) and hit the calculate button.

FAQs on Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications

What is the formula to find Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications?

The formula of Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications is expressed as Section Modulus of Steel Beam = (Dead Load Moment+Live Load Moment)/Maximum Stress. Here is an example- 1.8E+11 = (0.28+0.115)/2180000.

How to calculate Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications?

With Dead Load Moment (M_D), Live Load Moment (M_L) & Maximum Stress (σ_max) we can find Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications using the formula - Section Modulus of Steel Beam = (Dead Load Moment+Live Load Moment)/Maximum Stress.

Can the Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications be negative?

No, the Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications?

Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications 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 Maximum Steel Stress as per AISC Specifications can be measured.

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Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications Formula

Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications Example

Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications Solution

Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications Formula Elements

Other formulas in Composite Construction in Buildings category

How to Evaluate Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications?

FAQs on Section Modulus of Steel Beam given Maximum Steel Stress as per AISC Specifications

Variable Name