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Stress due to Impact Loading Formula

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The Stress due to Loading is defined as the force per unit area which causes deformation in the body which is measured in terms of strain. Check FAQs

σ l = W load \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot A cs \cdot σ b \cdot h}{W load \cdot L}}}{A cs}

σ_l - Stress due to Loading?W_load - Load?A_cs - Cross Sectional Area?σ_b - Bending Stress?h - Height at which load falls?L - Length of Weld?

Stress due to Impact Loading Example

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Here is how the Stress due to Impact Loading equation looks like with Values.

Here is how the Stress due to Impact Loading equation looks like with Units.

Here is how the Stress due to Impact Loading equation looks like.

93644.5641 = 53 \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 1333.4 \cdot 65 \cdot 50000}{53 \cdot 195}}}{1333.4}

93644.5641Pa = 53N \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 1333.4mm² \cdot 65Pa \cdot 50000mm}{53N \cdot 195mm}}}{1333.4mm²}

93644.5641 = 53 \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 1333.4 \cdot 65 \cdot 50000}{53 \cdot 195}}}{1333.4}

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Stress due to Impact Loading Solution

Follow our step by step solution on how to calculate Stress due to Impact Loading?

FIRST Step Consider the formula

σ l = W load \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot A cs \cdot σ b \cdot h}{W load \cdot L}}}{A cs}

Next Step Substitute values of Variables

∴

σ l = 53N \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 1333.4mm² \cdot 65Pa \cdot 50000mm}{53N \cdot 195mm}}}{1333.4mm²}

Next Step Convert Units

∴

σ l = 53N \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 0.0013m² \cdot 65Pa \cdot 50m}{53N \cdot 0.195m}}}{0.0013m²}

Next Step Prepare to Evaluate

∴

σ l = 53 \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 0.0013 \cdot 65 \cdot 50}{53 \cdot 0.195}}}{0.0013}

Next Step Evaluate

∴

σ l = 93644.5640559522Pa

LAST Step Rounding Answer

∴

σ l = 93644.5641Pa

Stress due to Impact Loading Formula Elements

Variables

Functions

Stress due to Loading

The Stress due to Loading is defined as the force per unit area which causes deformation in the body which is measured in terms of strain.

Symbol: σ_l

Measurement: StressUnit: Pa

Note: Value can be positive or negative.

Formulas to find Stress due to Loading

Load

Load is the weight of body lifted by screw jack.

Symbol: W_load

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load

Cross Sectional Area

Cross sectional area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Bending Stress

The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Bending Stress

Height at which load falls

The height at which load falls is the distance at the load falls due to impact loading.

Symbol: h

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Height at which load falls

Length of Weld

The Length of Weld is the linear distance of the welding segment joined by the welded joint.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Weld

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Stress category

Go Beam Shear Stress

𝜏 = \frac{ΣS \cdot Ay}{I \cdot t}

Go Bending Stress

σ b = M b \cdot \frac{y}{I}

Go Bulk Stress

B stress = \frac{N.F}{A cs}

Go Direct Stress

σ = \frac{P axial}{A cs}

How to Evaluate Stress due to Impact Loading?

Stress due to Impact Loading evaluator uses Stress due to Loading = Load*(1+sqrt(1+(2*Cross Sectional Area*Bending Stress*Height at which load falls)/(Load*Length of Weld)))/Cross Sectional Area to evaluate the Stress due to Loading, The stress due to impact loading is called impact stress. Stress is a physical science and engineering, force per unit area within the material that arises from externally applied forces. Stress due to Loading is denoted by σ_l symbol.

How to evaluate Stress due to Impact Loading using this online evaluator? To use this online evaluator for Stress due to Impact Loading, enter Load (W_load), Cross Sectional Area (A_cs), Bending Stress (σ_b), Height at which load falls (h) & Length of Weld (L) and hit the calculate button.

FAQs on Stress due to Impact Loading

What is the formula to find Stress due to Impact Loading?

The formula of Stress due to Impact Loading is expressed as Stress due to Loading = Load*(1+sqrt(1+(2*Cross Sectional Area*Bending Stress*Height at which load falls)/(Load*Length of Weld)))/Cross Sectional Area. Here is an example- 93644.56 = 53*(1+sqrt(1+(2*0.0013334*65*50)/(53*0.195)))/0.0013334.

How to calculate Stress due to Impact Loading?

With Load (W_load), Cross Sectional Area (A_cs), Bending Stress (σ_b), Height at which load falls (h) & Length of Weld (L) we can find Stress due to Impact Loading using the formula - Stress due to Loading = Load*(1+sqrt(1+(2*Cross Sectional Area*Bending Stress*Height at which load falls)/(Load*Length of Weld)))/Cross Sectional Area. This formula also uses Square Root (sqrt) function(s).

Can the Stress due to Impact Loading be negative?

Yes, the Stress due to Impact Loading, measured in Stress can be negative.

Which unit is used to measure Stress due to Impact Loading?

Stress due to Impact Loading is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Stress due to Impact Loading can be measured.

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Stress due to Impact Loading Formula

Stress due to Impact Loading Example

Stress due to Impact Loading Solution

Stress due to Impact Loading Formula Elements

Other formulas in Stress category

How to Evaluate Stress due to Impact Loading?

FAQs on Stress due to Impact Loading

Variable Name