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Moment Resisting Capacity of Compressive Steel given Stress Formula

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Moment Resistance of Compressive Steel is the moment resisting capacity of the steel subjected to stress. Check FAQs

M' s = 2 \cdot f' s \cdot A s' \cdot (d - D)

M'_s - Moment Resistance of Compressive Steel?f'_s - Stress in Compressive Steel?A_s' - Area of Compression Reinforcement?d - Distance to Centroid of Tensile Steel?D - Distance to Centroid of Compressive Steel?

Moment Resisting Capacity of Compressive Steel given Stress Example

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Here is how the Moment Resisting Capacity of Compressive Steel given Stress equation looks like with Values.

Here is how the Moment Resisting Capacity of Compressive Steel given Stress equation looks like with Units.

Here is how the Moment Resisting Capacity of Compressive Steel given Stress equation looks like.

0.0161 = 2 \cdot 134.449 \cdot 20 \cdot (5 - 2.01)

0.0161kN*m = 2 \cdot 134.449MPa \cdot 20mm² \cdot (5mm - 2.01mm)

0.0161 = 2 \cdot 134.449 \cdot 20 \cdot (5 - 2.01)

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Moment Resisting Capacity of Compressive Steel given Stress Solution

Follow our step by step solution on how to calculate Moment Resisting Capacity of Compressive Steel given Stress?

FIRST Step Consider the formula

M' s = 2 \cdot f' s \cdot A s' \cdot (d - D)

Next Step Substitute values of Variables

∴

M' s = 2 \cdot 134.449MPa \cdot 20mm² \cdot (5mm - 2.01mm)

Next Step Convert Units

∴

M' s = 2 \cdot 1.3E+8Pa \cdot 2E-5m² \cdot (0.005m - 0.002m)

Next Step Prepare to Evaluate

∴

M' s = 2 \cdot 1.3E+8 \cdot 2E-5 \cdot (0.005 - 0.002)

Next Step Evaluate

∴

M' s = 16.0801004N*m

Next Step Convert to Output's Unit

∴

M' s = 0.0160801004kN*m

LAST Step Rounding Answer

∴

M' s = 0.0161kN*m

Moment Resisting Capacity of Compressive Steel given Stress Formula Elements

Variables

Moment Resistance of Compressive Steel

Moment Resistance of Compressive Steel is the moment resisting capacity of the steel subjected to stress.

Symbol: M'_s

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Moment Resistance of Compressive Steel

Stress in Compressive Steel

Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement.

Symbol: f'_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in Compressive Steel

Area of Compression Reinforcement

Area of Compression Reinforcement is the amount of steel required in the compression zone.

Symbol: A_s'

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Compression Reinforcement

Distance to Centroid of Tensile Steel

The Distance to Centroid of Tensile Steel is the distance from extreme compression fiber to centroid of tension reinforcement.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance to Centroid of Tensile Steel

Distance to Centroid of Compressive Steel

The Distance to Centroid of Compressive steel is the distance from extreme compression surface to the centroid of compression reinforcement.

Symbol: D

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance to Centroid of Compressive Steel

Other formulas in Doubly Reinforced Rectangular Sections category

Go Total Compressive force on Beam Cross Section

C b = C c + C s'

Go Total Compression on Concrete

C b = C s' + C c

Go Force Acting on Compressive Steel

C s' = F T - C c

Go Force Acting on Tensile Steel

F T = C c + C s'

How to Evaluate Moment Resisting Capacity of Compressive Steel given Stress?

Moment Resisting Capacity of Compressive Steel given Stress evaluator uses Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel) to evaluate the Moment Resistance of Compressive Steel, The Moment Resisting Capacity of Compressive Steel given Stress is defined as the maximum bending resistance of steel when stress applied and area subjected under it are known. Moment Resistance of Compressive Steel is denoted by M'_s symbol.

How to evaluate Moment Resisting Capacity of Compressive Steel given Stress using this online evaluator? To use this online evaluator for Moment Resisting Capacity of Compressive Steel given Stress, enter Stress in Compressive Steel (f'_s), Area of Compression Reinforcement (A_s'), Distance to Centroid of Tensile Steel (d) & Distance to Centroid of Compressive Steel (D) and hit the calculate button.

FAQs on Moment Resisting Capacity of Compressive Steel given Stress

What is the formula to find Moment Resisting Capacity of Compressive Steel given Stress?

The formula of Moment Resisting Capacity of Compressive Steel given Stress is expressed as Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel). Here is an example- 1.6E-5 = 2*134449000*2E-05*(0.005-0.00201).

How to calculate Moment Resisting Capacity of Compressive Steel given Stress?

With Stress in Compressive Steel (f'_s), Area of Compression Reinforcement (A_s'), Distance to Centroid of Tensile Steel (d) & Distance to Centroid of Compressive Steel (D) we can find Moment Resisting Capacity of Compressive Steel given Stress using the formula - Moment Resistance of Compressive Steel = 2*Stress in Compressive Steel*Area of Compression Reinforcement*(Distance to Centroid of Tensile Steel-Distance to Centroid of Compressive Steel).

Can the Moment Resisting Capacity of Compressive Steel given Stress be negative?

No, the Moment Resisting Capacity of Compressive Steel given Stress, measured in Moment of Force cannot be negative.

Which unit is used to measure Moment Resisting Capacity of Compressive Steel given Stress?

Moment Resisting Capacity of Compressive Steel given Stress is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Moment Resisting Capacity of Compressive Steel given Stress can be measured.

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Moment Resisting Capacity of Compressive Steel given Stress Formula

Moment Resisting Capacity of Compressive Steel given Stress Example

Moment Resisting Capacity of Compressive Steel given Stress Solution

Moment Resisting Capacity of Compressive Steel given Stress Formula Elements

Other formulas in Doubly Reinforced Rectangular Sections category

How to Evaluate Moment Resisting Capacity of Compressive Steel given Stress?

FAQs on Moment Resisting Capacity of Compressive Steel given Stress

Variable Name