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Cross-Sectional Area given Maximum Stress for Short Beams Formula

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The Cross Sectional Area is the breadth times the depth of the beam structure. Check FAQs

A = \frac{P}{σ max - (\frac{M max \cdot y}{I})}

A - Cross Sectional Area?P - Axial Load?σ_max - Maximum Stress?M_max - Maximum Bending Moment?y - Distance from Neutral Axis?I - Area Moment of Inertia?

Cross-Sectional Area given Maximum Stress for Short Beams Example

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Here is how the Cross-Sectional Area given Maximum Stress for Short Beams equation looks like with Values.

Here is how the Cross-Sectional Area given Maximum Stress for Short Beams equation looks like with Units.

Here is how the Cross-Sectional Area given Maximum Stress for Short Beams equation looks like.

0.12 = \frac{2000}{0.137 - (\frac{7.7 \cdot 25}{0.0016})}

0.12m² = \frac{2000N}{0.137MPa - (\frac{7.7kN*m \cdot 25mm}{0.0016m⁴})}

0.12 = \frac{2000}{0.137 - (\frac{7.7 \cdot 25}{0.0016})}

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Cross-Sectional Area given Maximum Stress for Short Beams Solution

Follow our step by step solution on how to calculate Cross-Sectional Area given Maximum Stress for Short Beams?

FIRST Step Consider the formula

A = \frac{P}{σ max - (\frac{M max \cdot y}{I})}

Next Step Substitute values of Variables

∴

A = \frac{2000N}{0.137MPa - (\frac{7.7kN*m \cdot 25mm}{0.0016m⁴})}

Next Step Convert Units

∴

A = \frac{2000N}{136979Pa - (\frac{7700N*m \cdot 0.025m}{0.0016m⁴})}

Next Step Prepare to Evaluate

∴

A = \frac{2000}{136979 - (\frac{7700 \cdot 0.025}{0.0016})}

Next Step Evaluate

∴

A = 0.120001200012m²

LAST Step Rounding Answer

∴

A = 0.12m²

Cross-Sectional Area given Maximum Stress for Short Beams Formula Elements

Variables

Cross Sectional Area

The Cross Sectional Area is the breadth times the depth of the beam structure.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Axial Load

Axial Load is a force applied on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Load

Maximum Stress

Maximum Stress is the maximum amount of stress the taken by the beam/column before it breaks.

Symbol: σ_max

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Stress

Maximum Bending Moment

Maximum Bending Moment occurs where shear force is zero.

Symbol: M_max

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Maximum Bending Moment

Distance from Neutral Axis

Distance from Neutral Axis is measured between N.A. and the extreme point.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis

Area Moment of Inertia

Area Moment of Inertia is a property of a two-dimensional plane shape where it shows how its points are dispersed in an arbitrary axis in the cross-sectional plane.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Other formulas in Combined Axial and Bending Loads category

Go Maximum Stress for Short Beams

σ max = (\frac{P}{A}) + (\frac{M max \cdot y}{I})

Go Axial Load given Maximum Stress for Short Beams

P = A \cdot (σ max - (\frac{M max \cdot y}{I}))

Go Maximum Bending Moment given Maximum Stress for Short Beams

M max = \frac{(σ max - (\frac{P}{A})) \cdot I}{y}

Go Neutral Axis to Outermost Fiber Distance given Maximum Stress for Short Beams

y = \frac{(σ max \cdot A \cdot I) - (P \cdot I)}{M max \cdot A}

How to Evaluate Cross-Sectional Area given Maximum Stress for Short Beams?

Cross-Sectional Area given Maximum Stress for Short Beams evaluator uses Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)) to evaluate the Cross Sectional Area, The Cross-Sectional Area given Maximum Stress for Short Beams formula is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point. Cross Sectional Area is denoted by A symbol.

How to evaluate Cross-Sectional Area given Maximum Stress for Short Beams using this online evaluator? To use this online evaluator for Cross-Sectional Area given Maximum Stress for Short Beams, enter Axial Load (P), Maximum Stress (σ_max), Maximum Bending Moment (M_max), Distance from Neutral Axis (y) & Area Moment of Inertia (I) and hit the calculate button.

FAQs on Cross-Sectional Area given Maximum Stress for Short Beams

What is the formula to find Cross-Sectional Area given Maximum Stress for Short Beams?

The formula of Cross-Sectional Area given Maximum Stress for Short Beams is expressed as Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)). Here is an example- 0.120001 = 2000/(136979-((7700*0.025)/0.0016)).

How to calculate Cross-Sectional Area given Maximum Stress for Short Beams?

With Axial Load (P), Maximum Stress (σ_max), Maximum Bending Moment (M_max), Distance from Neutral Axis (y) & Area Moment of Inertia (I) we can find Cross-Sectional Area given Maximum Stress for Short Beams using the formula - Cross Sectional Area = Axial Load/(Maximum Stress-((Maximum Bending Moment*Distance from Neutral Axis)/Area Moment of Inertia)).

Can the Cross-Sectional Area given Maximum Stress for Short Beams be negative?

No, the Cross-Sectional Area given Maximum Stress for Short Beams, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area given Maximum Stress for Short Beams?

Cross-Sectional Area given Maximum Stress for Short Beams is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Cross-Sectional Area given Maximum Stress for Short Beams can be measured.

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Cross-Sectional Area given Maximum Stress for Short Beams Formula

Cross-Sectional Area given Maximum Stress for Short Beams Example

Cross-Sectional Area given Maximum Stress for Short Beams Solution

Cross-Sectional Area given Maximum Stress for Short Beams Formula Elements

Other formulas in Combined Axial and Bending Loads category

How to Evaluate Cross-Sectional Area given Maximum Stress for Short Beams?

FAQs on Cross-Sectional Area given Maximum Stress for Short Beams

Variable Name