Thermal Stress in Tapered Bar Calculator

✖Load is the weight of body lifted by screw jack.ⓘ Load [W_load]			+10% -10%
✖The Length of Weld is the linear distance of the welding segment joined by the welded joint.ⓘ Length of Weld [L]			+10% -10%
✖The Diameter of Bigger End is the diameter of larger end of circular tapered bar.ⓘ Diameter of Bigger End [D₁]			+10% -10%
✖The Diameter of Smaller End is diameter of smaller end of circular tapered bar.ⓘ Diameter of Smaller End [D₂]			+10% -10%
✖The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Bending Stress [σ_b]			+10% -10%

✖The Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure.ⓘ Thermal Stress in Tapered Bar [σ_T]

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Formula

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Thermal Stress in Tapered Bar

Formula

`"σ"_{"T"} = (4*"W"_{"load"}*"L")/(pi*"D"_{"1"}*"D"_{"2"}*"σ"_{"b"})`

Example

`"23.26077Pa"=(4*"53N"*"195mm")/(pi*"172.89mm"*"50.34mm"*"65Pa")`

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Thermal Stress in Tapered Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)
σ_T = (4*W_load*L)/(pi*D₁*D₂*σ_b)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Thermal Stress - (Measured in Pascal) - The Thermal Stress is the strain or force within a material due to temperature variations, causing expansion or contraction, potentially leading to deformation or failure.
Load - (Measured in Newton) - Load is the weight of body lifted by screw jack.
Length of Weld - (Measured in Meter) - The Length of Weld is the linear distance of the welding segment joined by the welded joint.
Diameter of Bigger End - (Measured in Meter) - The Diameter of Bigger End is the diameter of larger end of circular tapered bar.
Diameter of Smaller End - (Measured in Meter) - The Diameter of Smaller End is diameter of smaller end of circular tapered bar.
Bending Stress - (Measured in Pascal) - The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

STEP 1: Convert Input(s) to Base Unit

Load: 53 Newton --> 53 Newton No Conversion Required
Length of Weld: 195 Millimeter --> 0.195 Meter (Check conversion here)
Diameter of Bigger End: 172.89 Millimeter --> 0.17289 Meter (Check conversion here)
Diameter of Smaller End: 50.34 Millimeter --> 0.05034 Meter (Check conversion here)
Bending Stress: 65 Pascal --> 65 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_T = (4*W_load*L)/(pi*D₁*D₂*σ_b) --> (4*53*0.195)/(pi*0.17289*0.05034*65)

Evaluating ... ...

σ_T = 23.2607737697603

STEP 3: Convert Result to Output's Unit

23.2607737697603 Pascal --> No Conversion Required

FINAL ANSWER

23.2607737697603 ≈ 23.26077 Pascal <-- Thermal Stress

(Calculation completed in 00.020 seconds)

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College Of Engineering (COEP), Pune

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< 16 Stress Calculators

Stress due to Impact Loading

Go 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

Brinell Hardness Number

Go Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5))

Thermal Stress in Tapered Bar

Go Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)

Beam Shear Stress

Go Shearing Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shearing Stress

Go Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shear Stress in Double Parallel Fillet Weld

Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Thermal Stress

Go Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature

Bending Stress

Go Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia

Torsional Shear Stress

Go Shearing Stress = (Torque*Radius of Shaft)/Polar Moment of Inertia

Shear Stress of Circular Beam

Go Stress on Body = (4*Shearing Force)/(3*Cross sectional area)

Stress due to Gradual Loading

Go Stress due to Gradual Loading = Force/Cross sectional area

Maximum Shearing Stress

Go Stress on Body = (1.5*Shearing Force)/Cross sectional area

Shear Stress

Go Shearing Stress = Tangential Force/Cross sectional area

Bulk Stress

Go Bulk Stress = Normal Inward Force/Cross sectional area

Direct Stress

Go Direct Stress = Axial Thrust/Cross sectional area

Stress due to Sudden Loading

Go Stress on Body = 2*Force/Cross sectional area

Thermal Stress in Tapered Bar Formula

Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)
σ_T = (4*W_load*L)/(pi*D₁*D₂*σ_b)

What is thermal stress?

Thermal Stress is the stress caused due to the change in temperature.These stresses can lead to fracturing or plastic deformation depending on the other variables of heating, which include material types and constraints.

How to Calculate Thermal Stress in Tapered Bar?

Thermal Stress in Tapered Bar calculator uses Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress) to calculate the Thermal Stress, The Thermal Stress in tapered bar is defined as stress in a body or structure due to inequalities of temperature. Thermal Stress is denoted by σ_T symbol.

How to calculate Thermal Stress in Tapered Bar using this online calculator? To use this online calculator for Thermal Stress in Tapered Bar, enter Load (W_load), Length of Weld (L), Diameter of Bigger End (D₁), Diameter of Smaller End (D₂) & Bending Stress (σ_b) and hit the calculate button. Here is how the Thermal Stress in Tapered Bar calculation can be explained with given input values -> 77.3376 = (4*53*0.195)/(pi*0.17289*0.05034*65).

FAQ

What is Thermal Stress in Tapered Bar?

The Thermal Stress in tapered bar is defined as stress in a body or structure due to inequalities of temperature and is represented as σ_T = (4*W_load*L)/(pi*D₁*D₂*σ_b) or Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress). Load is the weight of body lifted by screw jack, The Length of Weld is the linear distance of the welding segment joined by the welded joint, The Diameter of Bigger End is the diameter of larger end of circular tapered bar, The Diameter of Smaller End is diameter of smaller end of circular tapered bar & The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

How to calculate Thermal Stress in Tapered Bar?

The Thermal Stress in tapered bar is defined as stress in a body or structure due to inequalities of temperature is calculated using Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress). To calculate Thermal Stress in Tapered Bar, you need Load (W_load), Length of Weld (L), Diameter of Bigger End (D₁), Diameter of Smaller End (D₂) & Bending Stress (σ_b). With our tool, you need to enter the respective value for Load, Length of Weld, Diameter of Bigger End, Diameter of Smaller End & Bending Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Thermal Stress?

In this formula, Thermal Stress uses Load, Length of Weld, Diameter of Bigger End, Diameter of Smaller End & Bending Stress. We can use 1 other way(s) to calculate the same, which is/are as follows -

Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature

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