FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange Formula

Fx Copy

LaTeX Copy

Section Modulus of Transformed Section is the MOI of a composite beam transformed into an equivalent cross-section (called the transformed section) of an imaginary beam composed of only one material. Check FAQs

S tr = \frac{M D + M L}{σ max}

S_tr - Section Modulus of Transformed Section?M_D - Dead Load Moment?M_L - Live Load Moment?σ_max - Maximum Stress?

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange Example

With values

With units

Only example

Here is how the Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange equation looks like with Values.

Here is how the Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange equation looks like with Units.

Here is how the Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange 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}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Design of Steel Structures » fx Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange Solution

Follow our step by step solution on how to calculate Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange?

FIRST Step Consider the formula

S tr = \frac{M D + M L}{σ max}

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

S tr = 1.81192660550459E-07m³

Next Step Convert to Output's Unit

∴

S tr = 181.192660550459mm³

LAST Step Rounding Answer

∴

S tr = 181.1927mm³

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange Formula Elements

Variables

Section Modulus of Transformed Section

Section Modulus of Transformed Section is the MOI of a composite beam transformed into an equivalent cross-section (called the transformed section) of an imaginary beam composed of only one material.

Symbol: S_tr

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus of Transformed Section

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 Transformed Composite Section given Maximum Stress in Bottom Flange?

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange evaluator uses Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress to evaluate the Section Modulus of Transformed Section, The Section modulus of transformed composite section given maximum stress in bottom flange can be defined as a geometric property for a given cross-section used in the design of beams or flexural members. Section Modulus of Transformed Section is denoted by S_tr symbol.

How to evaluate Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange using this online evaluator? To use this online evaluator for Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange, 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 Transformed Composite Section given Maximum Stress in Bottom Flange

What is the formula to find Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange?

The formula of Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange is expressed as Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress. Here is an example- 1.7E+11 = (0.28+0.115)/2180000.

How to calculate Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange?

With Dead Load Moment (M_D), Live Load Moment (M_L) & Maximum Stress (σ_max) we can find Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange using the formula - Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress.

Can the Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange be negative?

No, the Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange?

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange 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 Transformed Composite Section given Maximum Stress in Bottom Flange can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange Formula

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange Example

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange Solution

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange Formula Elements

Other formulas in Composite Construction in Buildings category

How to Evaluate Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange?

FAQs on Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange

Variable Name