Live Load Moment given Maximum Unit Stress in Steel Calculator

✖Maximum Stress is the stress that material or section withstands before its fracture.ⓘ Maximum Stress [σ_max]			+10% -10%
✖Dead Load Moment is the moment generated due to dead load acting to member.ⓘ Dead Load Moment [M_D]			+10% -10%
✖Section Modulus of Steel Beam is a geometric property for a given cross-section used to design steel beams or flexural members.ⓘ Section Modulus of Steel Beam [S_s]			+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%

✖Live Load Moment is the moment generated due to live load acting to member.ⓘ Live Load Moment given Maximum Unit Stress in Steel [M_L]

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Live Load Moment given Maximum Unit Stress in Steel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Live Load Moment = (Maximum Stress-(Dead Load Moment/Section Modulus of Steel Beam))*Section Modulus of Transformed Section
M_L = (σ_max-(M_D/S_s))*S_tr
This formula uses 5 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.
Dead Load Moment - (Measured in Newton Meter) - Dead Load Moment is the moment generated due to dead load acting to member.
Section Modulus of Steel Beam - (Measured in Cubic Meter) - Section Modulus of Steel Beam is a geometric property for a given cross-section used to design steel beams or flexural members.
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

Maximum Stress: 2.18 Newton per Square Millimeter --> 2180000 Pascal (Check conversion here)
Dead Load Moment: 280 Newton Millimeter --> 0.28 Newton Meter (Check conversion here)
Section Modulus of Steel Beam: 150 Cubic Millimeter --> 1.5E-07 Cubic 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

M_L = (σ_max-(M_D/S_s))*S_tr --> (2180000-(0.28/1.5E-07))*2.5E-07

Evaluating ... ...

M_L = 0.0783333333333333

STEP 3: Convert Result to Output's Unit

0.0783333333333333 Newton Meter -->78.3333333333333 Newton Millimeter (Check conversion here)

FINAL ANSWER

78.3333333333333 ≈ 78.33333 Newton Millimeter <-- Live Load Moment

(Calculation completed in 00.021 seconds)

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National Institute of Technology (NIT), Warangal

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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 Unit Stress in Steel Formula

LaTeX Go

Live Load Moment = (Maximum Stress-(Dead Load Moment/Section Modulus of Steel Beam))*Section Modulus of Transformed Section
M_L = (σ_max-(M_D/S_s))*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 Live Load Moment given Maximum Unit Stress in Steel?

Live Load Moment given Maximum Unit Stress in Steel calculator uses Live Load Moment = (Maximum Stress-(Dead Load Moment/Section Modulus of Steel Beam))*Section Modulus of Transformed Section to calculate the Live Load Moment, The Live Load Moment given Maximum Unit Stress in Steel 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 Unit Stress in Steel using this online calculator? To use this online calculator for Live Load Moment given Maximum Unit Stress in Steel, enter Maximum Stress (σ_max), Dead Load Moment (M_D), Section Modulus of Steel Beam (S_s) & Section Modulus of Transformed Section (S_tr) and hit the calculate button. Here is how the Live Load Moment given Maximum Unit Stress in Steel calculation can be explained with given input values -> 113333.3 = (2180000-(0.28/1.5E-07))*2.5E-07.

FAQ

What is Live Load Moment given Maximum Unit Stress in Steel?

The Live Load Moment given Maximum Unit Stress in Steel can be defined as the weight of movable objects in the structural member and is represented as M_L = (σ_max-(M_D/S_s))*S_tr or Live Load Moment = (Maximum Stress-(Dead Load Moment/Section Modulus of Steel Beam))*Section Modulus of Transformed Section. Maximum Stress is the stress that material or section withstands before its fracture, Dead Load Moment is the moment generated due to dead load acting to member, Section Modulus of Steel Beam is a geometric property for a given cross-section used to design steel beams or flexural members & 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 Live Load Moment given Maximum Unit Stress in Steel?

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

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

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

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