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Live Load Moment given Maximum Unit Stress in Steel Formula

GoLive Load Moment given Maximum Stress in Bottom Flange Formula

GoLive Load Moment given Maximum Steel Stress as per AISC Specifications Formula

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Live Load Moment is the moment generated due to live load acting to member. Check FAQs

M L = (σ max - (\frac{M D}{S s})) \cdot S tr

M_L - Live Load Moment?σ_max - Maximum Stress?M_D - Dead Load Moment?S_s - Section Modulus of Steel Beam?S_tr - Section Modulus of Transformed Section?

Live Load Moment given Maximum Unit Stress in Steel Example

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Here is how the Live Load Moment given Maximum Unit Stress in Steel equation looks like with Values.

Here is how the Live Load Moment given Maximum Unit Stress in Steel equation looks like with Units.

Here is how the Live Load Moment given Maximum Unit Stress in Steel equation looks like.

78.3333 = (2.18 - (\frac{280}{150})) \cdot 250

78.3333N*mm = (2.18N/mm² - (\frac{280N*mm}{150mm³})) \cdot 250mm³

78.3333 = (2.18 - (\frac{280}{150})) \cdot 250

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Live Load Moment given Maximum Unit Stress in Steel Solution

Follow our step by step solution on how to calculate Live Load Moment given Maximum Unit Stress in Steel?

FIRST Step Consider the formula

M L = (σ max - (\frac{M D}{S s})) \cdot S tr

Next Step Substitute values of Variables

∴

M L = (2.18N/mm² - (\frac{280N*mm}{150mm³})) \cdot 250mm³

Next Step Convert Units

∴

M L = (2.2E+6Pa - (\frac{0.28N*m}{1.5E-7m³})) \cdot 2.5E-7m³

Next Step Prepare to Evaluate

∴

M L = (2.2E+6 - (\frac{0.28}{1.5E-7})) \cdot 2.5E-7

Next Step Evaluate

∴

M L = 0.0783333333333333N*m

Next Step Convert to Output's Unit

∴

M L = 78.3333333333333N*mm

LAST Step Rounding Answer

∴

M L = 78.3333N*mm

Live Load Moment given Maximum Unit Stress in Steel Formula Elements

Variables

Live Load Moment

Live Load Moment is the moment generated due to live load acting to member.

Symbol: M_L

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Live Load Moment

Maximum Stress

Maximum Stress is the stress that material or section withstands before its fracture.

Symbol: σ_max

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Stress

Dead Load Moment

Dead Load Moment is the moment generated due to dead load acting to member.

Symbol: M_D

Measurement: TorqueUnit: N*mm

Note: Value can be positive or negative.

Formulas to find Dead Load Moment

Section Modulus of Steel Beam

Section Modulus of Steel Beam is a geometric property for a given cross-section used to design steel beams or flexural members.

Symbol: S_s

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus of Steel Beam

Section Modulus of Transformed Section

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.

Symbol: S_tr

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus of Transformed Section

Other Formulas to find Live Load Moment

Go Live Load Moment given Maximum Stress in Bottom Flange

M L = (σ max \cdot S tr) - M D

Go Live Load Moment given Maximum Steel Stress as per AISC Specifications

M L = (σ max \cdot S s) - M D

Other formulas in Composite Construction in Buildings category

Go Maximum Stress in Bottom Flange

σ max = \frac{M D + M L}{S tr}

Go Maximum Unit Stress in Steel

σ max = (\frac{M D}{S s}) + (\frac{M L}{S tr})

Go Maximum Steel Stress as per AISC Specifications

σ max = \frac{M D + M L}{S s}

Go Dead Load Moment Given Maximum Stress in Bottom Flange

M D = (σ max \cdot S tr) - M L

How to Evaluate Live Load Moment given Maximum Unit Stress in Steel?

Live Load Moment given Maximum Unit Stress in Steel evaluator uses Live Load Moment = (Maximum Stress-(Dead Load Moment/Section Modulus of Steel Beam))*Section Modulus of Transformed Section to evaluate 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 evaluate Live Load Moment given Maximum Unit Stress in Steel using this online evaluator? To use this online evaluator 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.

FAQs on Live Load Moment given Maximum Unit Stress in Steel

What is the formula to find Live Load Moment given Maximum Unit Stress in Steel?

The formula of Live Load Moment given Maximum Unit Stress in Steel is expressed as Live Load Moment = (Maximum Stress-(Dead Load Moment/Section Modulus of Steel Beam))*Section Modulus of Transformed Section. Here is an example- 113333.3 = (2180000-(0.28/1.5E-07))*2.5E-07.

How to calculate Live Load Moment given Maximum Unit Stress in Steel?

With Maximum Stress (σ_max), Dead Load Moment (M_D), Section Modulus of Steel Beam (S_s) & Section Modulus of Transformed Section (S_tr) we can find Live Load Moment given Maximum Unit Stress in Steel using the formula - Live Load Moment = (Maximum Stress-(Dead Load Moment/Section Modulus of Steel Beam))*Section Modulus of Transformed Section.

What are the other ways to Calculate Live Load Moment?

Here are the different ways to Calculate Live Load Moment-

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

Can the Live Load Moment given Maximum Unit Stress in Steel be negative?

No, the Live Load Moment given Maximum Unit Stress in Steel, measured in Torque cannot be negative.

Which unit is used to measure Live Load Moment given Maximum Unit Stress in Steel?

Live Load Moment given Maximum Unit Stress in Steel is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Live Load Moment given Maximum Unit Stress in Steel can be measured.

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Live Load Moment given Maximum Unit Stress in Steel Formula

​GoLive Load Moment given Maximum Stress in Bottom Flange Formula

​GoLive Load Moment given Maximum Steel Stress as per AISC Specifications Formula

Live Load Moment given Maximum Unit Stress in Steel Example

Live Load Moment given Maximum Unit Stress in Steel Solution

Live Load Moment given Maximum Unit Stress in Steel Formula Elements

Other Formulas to find Live Load Moment

Other formulas in Composite Construction in Buildings category

How to Evaluate Live Load Moment given Maximum Unit Stress in Steel?

FAQs on Live Load Moment given Maximum Unit Stress in Steel

Variable Name

GoLive Load Moment given Maximum Stress in Bottom Flange Formula

GoLive Load Moment given Maximum Steel Stress as per AISC Specifications Formula