Live Load Moment given Maximum Stress in Bottom Flange Calculator

✖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 Section [S_tr]			+10% -10%
✖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 given Maximum Stress in Bottom Flange [M_L]

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Formula

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Live Load Moment given Maximum Stress in Bottom Flange

Formula

`"M"_{"L"} = ("σ"_{"max"}*"S"_{"tr"})-"M"_{"D"}`

Example

`"265N*mm"=("2.18N/mm²"*"250mm³")-"280N*mm"`

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Live Load Moment given Maximum Stress in Bottom Flange Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Stress: 2.18 Newton per Square Millimeter --> 2180000 Pascal (Check conversion here)
Section Modulus of Transformed Section: 250 Cubic Millimeter --> 2.5E-07 Cubic Meter (Check conversion here)
Dead Load Moment: 280 Newton Millimeter --> 0.28 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_L = (σ_max*S_tr)-M_D --> (2180000*2.5E-07)-0.28

Evaluating ... ...

M_L = 0.265

STEP 3: Convert Result to Output's Unit

0.265 Newton Meter -->265 Newton Millimeter (Check conversion here)

FINAL ANSWER

265 Newton Millimeter <-- Live Load Moment

(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

Live Load Moment given Maximum Stress in Bottom Flange Formula

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

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 Live Load Moment given Maximum Stress in Bottom Flange?

Live Load Moment given Maximum Stress in Bottom Flange calculator uses Live Load Moment = (Maximum Stress*Section Modulus of Transformed Section)-Dead Load Moment to calculate the Live Load Moment, The Live Load Moment given Maximum Stress in Bottom Flange can be defined as the weight of movable objects in the structural member. Live Load Moment is denoted by M_L symbol.

How to calculate Live Load Moment given Maximum Stress in Bottom Flange using this online calculator? To use this online calculator for Live Load Moment given Maximum Stress in Bottom Flange, enter Maximum Stress (σ_max), Section Modulus of Transformed Section (S_tr) & Dead Load Moment (M_D) and hit the calculate button. Here is how the Live Load Moment given Maximum Stress in Bottom Flange calculation can be explained with given input values -> 300000 = (2180000*2.5E-07)-0.28.

FAQ

What is Live Load Moment given Maximum Stress in Bottom Flange?

The Live Load Moment given Maximum Stress in Bottom Flange can be defined as the weight of movable objects in the structural member and is represented as M_L = (σ_max*S_tr)-M_D or Live Load Moment = (Maximum Stress*Section Modulus of Transformed Section)-Dead Load Moment. Maximum Stress is the stress that material or section withstands before its fracture, 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 is the moment generated due to dead load acting to member.

How to calculate Live Load Moment given Maximum Stress in Bottom Flange?

The Live Load Moment given Maximum Stress in Bottom Flange can be defined as the weight of movable objects in the structural member is calculated using Live Load Moment = (Maximum Stress*Section Modulus of Transformed Section)-Dead Load Moment. To calculate Live Load Moment given Maximum Stress in Bottom Flange, you need Maximum Stress (σ_max), Section Modulus of Transformed Section (S_tr) & Dead Load Moment (M_D). With our tool, you need to enter the respective value for Maximum Stress, Section Modulus of Transformed Section & Dead Load Moment 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 Live Load Moment?

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

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

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