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Maximum Stress in Bottom Flange Formula

GoMaximum Unit Stress in Steel Formula

GoMaximum Steel Stress as per AISC Specifications Formula

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

σ max = \frac{M D + M L}{S tr}

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

Maximum Stress in Bottom Flange Example

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Here is how the Maximum Stress in Bottom Flange equation looks like with Values.

Here is how the Maximum Stress in Bottom Flange equation looks like with Units.

Here is how the Maximum Stress in Bottom Flange equation looks like.

1.58 = \frac{280 + 115}{250}

1.58N/mm² = \frac{280N*mm + 115N*mm}{250mm³}

1.58 = \frac{280 + 115}{250}

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Maximum Stress in Bottom Flange Solution

Follow our step by step solution on how to calculate Maximum Stress in Bottom Flange?

FIRST Step Consider the formula

σ max = \frac{M D + M L}{S tr}

Next Step Substitute values of Variables

∴

σ max = \frac{280N*mm + 115N*mm}{250mm³}

Next Step Convert Units

∴

σ max = \frac{0.28N*m + 0.115N*m}{2.5E-7m³}

Next Step Prepare to Evaluate

∴

σ max = \frac{0.28 + 0.115}{2.5E-7}

Next Step Evaluate

∴

σ max = 1580000Pa

LAST Step Convert to Output's Unit

∴

σ max = 1.58N/mm²

Maximum Stress in Bottom Flange Formula Elements

Variables

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

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

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 Maximum Stress

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}

Other formulas in Composite Construction in Buildings category

Go Dead Load Moment Given Maximum Stress in Bottom Flange

M D = (σ max \cdot S tr) - M L

Go Dead Load Moment given Maximum Unit Stress in Steel

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

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

M D = (σ max \cdot S s) - M L

Go Live Load Moment given Maximum Stress in Bottom Flange

M L = (σ max \cdot S tr) - M D

How to Evaluate Maximum Stress in Bottom Flange?

Maximum Stress in Bottom Flange evaluator uses Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Transformed Section to evaluate 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 evaluate Maximum Stress in Bottom Flange using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Stress in Bottom Flange

What is the formula to find Maximum Stress in Bottom Flange?

The formula of Maximum Stress in Bottom Flange is expressed as Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Transformed Section. Here is an example- 1.6E-6 = (0.28+0.115)/2.5E-07.

How to calculate Maximum Stress in Bottom Flange?

With Dead Load Moment (M_D), Live Load Moment (M_L) & Section Modulus of Transformed Section (S_tr) we can find Maximum Stress in Bottom Flange using the formula - Maximum Stress = (Dead Load Moment+Live Load Moment)/Section Modulus of Transformed Section.

What are the other ways to Calculate Maximum Stress?

Here are the different ways to Calculate Maximum Stress-

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

Can the Maximum Stress in Bottom Flange be negative?

No, the Maximum Stress in Bottom Flange, measured in Stress cannot be negative.

Which unit is used to measure Maximum Stress in Bottom Flange?

Maximum Stress in Bottom Flange is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Maximum Stress in Bottom Flange can be measured.

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Maximum Stress in Bottom Flange Formula

​GoMaximum Unit Stress in Steel Formula

​GoMaximum Steel Stress as per AISC Specifications Formula

Maximum Stress in Bottom Flange Example

Maximum Stress in Bottom Flange Solution

Maximum Stress in Bottom Flange Formula Elements

Other Formulas to find Maximum Stress

Other formulas in Composite Construction in Buildings category

How to Evaluate Maximum Stress in Bottom Flange?

FAQs on Maximum Stress in Bottom Flange

Variable Name

GoMaximum Unit Stress in Steel Formula

GoMaximum Steel Stress as per AISC Specifications Formula