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
ML = (σmax*Str)-MD
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
ML = (σmax*Str)-MD --> (2180000*2.5E-07)-0.28
Evaluating ... ...
ML = 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 00.012 seconds)

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Composite Construction in Buildings Calculators

Maximum Unit Stress in Steel
​ LaTeX ​ 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
​ LaTeX ​ Go Dead Load Moment = (Maximum Stress*Section Modulus of Transformed Section)-Live Load Moment
Maximum Stress in Bottom Flange
​ LaTeX ​ Go Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Transformed Section
Maximum Steel Stress as per AISC Specifications
​ LaTeX ​ Go Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Steel Beam

Live Load Moment given Maximum Stress in Bottom Flange Formula

​LaTeX ​Go
Live Load Moment = (Maximum Stress*Section Modulus of Transformed Section)-Dead Load Moment
ML = (σmax*Str)-MD

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 ML 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 max), Section Modulus of Transformed Section (Str) & Dead Load Moment (MD) 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 ML = (σmax*Str)-MD 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 max), Section Modulus of Transformed Section (Str) & Dead Load Moment (MD). 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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