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%
✖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 Section [S_tr]			+10% -10%

✖Maximum Stress is the stress that material or section withstands before its fracture.ⓘ Maximum Stress in Bottom Flange [σ_max]

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Formula

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Maximum Stress in Bottom Flange

Formula

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

Example

`"1.58N/mm²"= ("280N*mm"+"115N*mm")/"250mm³"`

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Maximum Stress in Bottom Flange Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Maximum Stress - (Measured in Pascal) - Maximum Stress is the stress that material or section withstands before its fracture.
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.
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.

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)
Section Modulus of Transformed Section: 250 Cubic Millimeter --> 2.5E-07 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_max = (M_D+M_L)/S_tr --> (0.28+0.115)/2.5E-07

Evaluating ... ...

σ_max = 1580000

STEP 3: Convert Result to Output's Unit

1580000 Pascal -->1.58 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

1.58 Newton per Square Millimeter <-- Maximum Stress

(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)

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 Transformed Composite Section given Maximum Stress in Bottom Flange

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

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

Maximum Stress in Bottom Flange Formula

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

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 Maximum Stress in Bottom Flange?

Maximum Stress in Bottom Flange calculator uses Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Transformed Section to calculate the Maximum Stress, The maximum stress in bottom flange can be defined as maximum stress that the specimen can withstand is called the maximum strength of that particular material. Maximum Stress is denoted by σ_max symbol.

How to calculate Maximum Stress in Bottom Flange using this online calculator? To use this online calculator for Maximum Stress in Bottom Flange, enter Dead Load Moment (M_D), Live Load Moment (M_L) & Section Modulus of Transformed Section (S_tr) and hit the calculate button. Here is how the Maximum Stress in Bottom Flange calculation can be explained with given input values -> 1.6E-6 = (0.28+0.115)/2.5E-07.

FAQ

What is Maximum Stress in Bottom Flange?

The maximum stress in bottom flange can be defined as maximum stress that the specimen can withstand is called the maximum strength of that particular material and is represented as σ_max = (M_D+M_L)/S_tr or Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Transformed Section. 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 & 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.

How to calculate Maximum Stress in Bottom Flange?

The maximum stress in bottom flange can be defined as maximum stress that the specimen can withstand is called the maximum strength of that particular material is calculated using Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Transformed Section. To calculate Maximum Stress in Bottom Flange, you need Dead Load Moment (M_D), Live Load Moment (M_L) & Section Modulus of Transformed Section (S_tr). With our tool, you need to enter the respective value for Dead Load Moment, Live Load Moment & Section Modulus of Transformed Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Stress?

In this formula, Maximum Stress uses Dead Load Moment, Live Load Moment & Section Modulus of Transformed Section. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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