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

✖Dead Load Moment is the moment generated due to dead load acting to member.ⓘ Dead Load Moment [M_D]			+10% -10%
✖Live Load Moment is the moment generated due to live load acting to member.ⓘ Live Load Moment [M_L]			+10% -10%
✖Maximum Stress is the stress that material or section withstands before its fracture.ⓘ Maximum Stress [σ_max]			+10% -10%

✖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.ⓘ Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange [S_tr]

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

Formula

`"S"_{"tr"} = ("M"_{"D"}+"M"_{"L"})/"σ"_{"max"}`

Example

`"181.1927mm³"=("280N*mm"+"115N*mm")/"2.18N/mm²"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress
S_tr = (M_D+M_L)/σ_max
This formula uses 4 Variables

Variables Used

Section Modulus of Transformed Section - (Measured in Cubic Meter) - 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.
Dead Load Moment - (Measured in Newton Meter) - Dead Load Moment is the moment generated due to dead load acting to member.
Live Load Moment - (Measured in Newton Meter) - Live Load Moment is the moment generated due to live load acting to member.
Maximum Stress - (Measured in Pascal) - Maximum Stress is the stress that material or section withstands before its fracture.

STEP 1: Convert Input(s) to Base Unit

Dead Load Moment: 280 Newton Millimeter --> 0.28 Newton Meter (Check conversion here)
Live Load Moment: 115 Newton Millimeter --> 0.115 Newton Meter (Check conversion here)
Maximum Stress: 2.18 Newton per Square Millimeter --> 2180000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_tr = (M_D+M_L)/σ_max --> (0.28+0.115)/2180000

Evaluating ... ...

S_tr = 1.81192660550459E-07

STEP 3: Convert Result to Output's Unit

1.81192660550459E-07 Cubic Meter -->181.192660550459 Cubic Millimeter (Check conversion here)

FINAL ANSWER

181.192660550459 ≈ 181.1927 Cubic Millimeter <-- Section Modulus of Transformed Section

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Indian Institute of Information Technology (IIIT), Bhopal

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< 13 Composite Construction in Buildings Calculators

Dead Load Moment given Maximum Unit Stress in Steel

Go Dead Load Moment = (Maximum Stress-(Live Load Moment/Section Modulus of Transformed Section))*Section Modulus of Steel Beam

Live Load Moment given Maximum Unit Stress in Steel

Go Live Load Moment = (Maximum Stress-(Dead Load Moment/Section Modulus of Steel Beam))*Section Modulus of Transformed Section

Maximum Unit Stress in Steel

Go Maximum Stress = (Dead Load Moment/Section Modulus of Steel Beam)+(Live Load Moment/Section Modulus of Transformed Section)

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

Go Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress

Dead Load Moment Given Maximum Stress in Bottom Flange

Go Dead Load Moment = (Maximum Stress*Section Modulus of Transformed Section)-Live Load Moment

Live Load Moment given Maximum Stress in Bottom Flange

Go Live Load Moment = (Maximum Stress*Section Modulus of Transformed Section)-Dead Load Moment

Maximum Stress in Bottom Flange

Go Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Transformed Section

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

Go Section Modulus of Steel Beam = (Dead Load Moment+Live Load Moment)/Maximum Stress

Dead Load Moment given Maximum Steel Stress as per AISC Specifications

Go Dead Load Moment = (Maximum Stress*Section Modulus of Steel Beam)-Live Load Moment

Live Load Moment given Maximum Steel Stress as per AISC Specifications

Go Live Load Moment = (Maximum Stress*Section Modulus of Steel Beam)-Dead Load Moment

Maximum Steel Stress as per AISC Specifications

Go Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Steel Beam

Yield Strength given Allowable Stress in Flange

Go Yield Stress of Steel = Allowable Bearing Stress/0.66

Allowable Stress in Flanges

Go Allowable Bearing Stress = 0.66*Yield Stress of Steel

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

Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress
S_tr = (M_D+M_L)/σ_max

What is Maximum Stress?

The Maximum Stress can be defined as the maximum stress that the specimen can withstand is called the maximum strength of that particular material.

What is Live and Dead Loads?

The Dead Load is defined as the self-weight of the structural member whereas Live Load is defined as the weight of movable objects in the structural member.

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

Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange calculator uses Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress to calculate 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 calculate Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange using this online calculator? To use this online calculator 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. Here is how the Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange calculation can be explained with given input values -> 1.7E+11 = (0.28+0.115)/2180000.

FAQ

What is Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange?

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 and is represented as S_tr = (M_D+M_L)/σ_max or Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress. Dead Load Moment is the moment generated due to dead load acting to member, Live Load Moment is the moment generated due to live load acting to member & Maximum Stress is the stress that material or section withstands before its fracture.

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

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 is calculated using Section Modulus of Transformed Section = (Dead Load Moment+Live Load Moment)/Maximum Stress. To calculate Section Modulus of Transformed Composite Section given Maximum Stress in Bottom Flange, you need Dead Load Moment (M_D), Live Load Moment (M_L) & Maximum Stress (σ_max). With our tool, you need to enter the respective value for Dead Load Moment, Live Load Moment & Maximum Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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