FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Stress due to Impact Loading Formula

Fx Copy

LaTeX Copy

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 - Weight of 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

With values

With units

Only example

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.

93544.2481 = 53 \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 1333.4 \cdot 6.4E-5 \cdot 50000}{53 \cdot 195}}}{1333.4}

93544.2481Pa = 53N \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 1333.4mm² \cdot 6.4E-5MPa \cdot 50000mm}{53N \cdot 195mm}}}{1333.4mm²}

93544.2481 = 53 \cdot \frac{1 + \sqrt{1 + \frac{2 \cdot 1333.4 \cdot 6.4E-5 \cdot 50000}{53 \cdot 195}}}{1333.4}

Tip: Use pencil ( Pencil

Pencil

) icon above to edit Input Values and Units.

Solution

Copy

Share

You are here -

HomeIcon

Home » Category

Category

Engineering » Category

Category

Mechanical » Category

Category

Strength of Materials » fx Stress due to Impact Loading

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 6.4E-5MPa \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 64.47Pa \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 64.47 \cdot 50}{53 \cdot 0.195}}}{0.0013}

Next Step Evaluate

∴

σ l = 93544.2480896296Pa

LAST Step Rounding Answer

∴

σ l = 93544.2481Pa

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

Open Variable

Weight of Load

Weight of 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 Weight of Load

Open Variable

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

Open Variable

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: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress

Open Variable

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 should be greater than 0.

Formulas to find Height at which Load Falls

Open Variable

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

Open Variable

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}

See More

OpenImg

How to Evaluate Stress due to Impact Loading?

Stress due to Impact Loading evaluator uses Stress due to Loading = Weight of Load*(1+sqrt(1+(2*Cross Sectional Area*Bending Stress*Height at which Load Falls)/(Weight of Load*Length of Weld)))/Cross Sectional Area to evaluate the Stress due to Loading, The Stress due to Impact Loading formula is defined as the measure of Stress which is caused due to the sudden impact loading. 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 Weight of 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 = Weight of Load*(1+sqrt(1+(2*Cross Sectional Area*Bending Stress*Height at which Load Falls)/(Weight of Load*Length of Weld)))/Cross Sectional Area. Here is an example- 93582.13 = 53*(1+sqrt(1+(2*0.0013334*64.47*50)/(53*0.195)))/0.0013334.

How to calculate Stress due to Impact Loading?

With Weight of 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 = Weight of Load*(1+sqrt(1+(2*Cross Sectional Area*Bending Stress*Height at which Load Falls)/(Weight of 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.

Let Others Know

✖

WhatsApp

Copied!