Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Calculator

✖Diameter of Crankshaft at Crank-web Joint is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank web and crankshaft.ⓘ Diameter of Crankshaft at Crank-web Joint [d]			+10% -10%
✖Resultant Bending Moment at Crank-web Joint is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin.ⓘ Resultant Bending Moment at Crank-web Joint [M_b]			+10% -10%
✖Torsional Moment at Crank-web Joint refers to the twisting force acting at the point on the circumference where the crank-web meets the crankshaft, due to the forces acting on the crankpin.ⓘ Torsional Moment at Crank-web Joint [M_t]			+10% -10%

✖Shear Stress in Shaft at Crank-web Joint is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied bending moment.ⓘ Shear stress in side-crankshaft at juncture of crankweb for max torque given moments [τ]

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Formula

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Shear stress in side-crankshaft at juncture of crankweb for max torque given moments

Formula

`"τ" = 16/(pi*"d"^3)*sqrt("M"_{"b"}^2+"M"_{"t"}^2)`

Example

`"57.38201N/mm²"=16/(pi*("30.4493mm")^3)*sqrt(("318024.3N*mm")^2+("6000N*mm")^2)`

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Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2)
τ = 16/(pi*d^3)*sqrt(M_b^2+M_t^2)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Shear Stress in Shaft at Crank-web Joint - (Measured in Pascal) - Shear Stress in Shaft at Crank-web Joint is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied bending moment.
Diameter of Crankshaft at Crank-web Joint - (Measured in Meter) - Diameter of Crankshaft at Crank-web Joint is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank web and crankshaft.
Resultant Bending Moment at Crank-web Joint - (Measured in Newton Meter) - Resultant Bending Moment at Crank-web Joint is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin.
Torsional Moment at Crank-web Joint - (Measured in Newton Meter) - Torsional Moment at Crank-web Joint refers to the twisting force acting at the point on the circumference where the crank-web meets the crankshaft, due to the forces acting on the crankpin.

STEP 1: Convert Input(s) to Base Unit

Diameter of Crankshaft at Crank-web Joint: 30.4493 Millimeter --> 0.0304493 Meter (Check conversion here)
Resultant Bending Moment at Crank-web Joint: 318024.3 Newton Millimeter --> 318.0243 Newton Meter (Check conversion here)
Torsional Moment at Crank-web Joint: 6000 Newton Millimeter --> 6 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = 16/(pi*d^3)*sqrt(M_b^2+M_t^2) --> 16/(pi*0.0304493^3)*sqrt(318.0243^2+6^2)

Evaluating ... ...

τ = 57382009.7144646

STEP 3: Convert Result to Output's Unit

57382009.7144646 Pascal -->57.3820097144646 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

57.3820097144646 ≈ 57.38201 Newton per Square Millimeter <-- Shear Stress in Shaft at Crank-web Joint

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Side Crankshaft » Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque » Shear stress in side-crankshaft at juncture of crankweb for max torque given moments

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 9 Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque Calculators

Diameter of side crankshaft at juncture of crankweb for max torque

Go Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2+(Tangential Force at Crankpin*Distance Between Crank Pin and Crankshaft)^2))^(1/3)

Shear stress in side-crankshaft at juncture of crankweb for max torque

Go Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crankpin*Distance Between Crank Pin and Crankshaft)^2)

Resultant bending moment in side-crankshaft at juncture of crankweb for max torque

Go Resultant Bending Moment at Crank-web Joint = sqrt((Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web))^2+(Radial Force at Crank Pin*(0.75*Length of Crankpin+Thickness of Crank Web))^2)

Diameter of side-crankshaft at juncture of crankweb for max torque given moments

Go Diameter of Crankshaft at Crank-web Joint = (16/(pi*Shear Stress in Shaft at Crank-web Joint)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2))^(1/3)

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments

Go Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2)

Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments

Go Resultant Bending Moment at Crank-web Joint = sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)

Bending moment in horizontal plane of side-crankshaft at juncture of crankweb for max torque

Go Horizontal Bending Moment at Crank-web Joint = Tangential Force at Crankpin*(0.75*Length of Crankpin+Thickness of Crank Web)

Bending moment in vertical plane of side-crankshaft at juncture of crankweb for max torque

Go Vertical Bending Moment at Crank-web Joint = Radial Force at Crank Pin*(0.75*Length of Crankpin+Thickness of Crank Web)

Torsional moment in side-crankshaft at juncture of crankweb for max torque

Go Torsional Moment at Crank-web Joint = Tangential Force at Crankpin*Distance Between Crank Pin and Crankshaft

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments Formula

What is a Crankshaft?

A crankshaft is the heart of a reciprocating engine. It's a rotating shaft that converts the up-and-down motion of pistons (caused by combustion) into rotational motion. Imagine a seesaw with an off-center pivot point. The pistons push down on one side, creating a twisting force (torque) in the crankshaft, which spins the flywheel and ultimately the wheels.

How to Calculate Shear stress in side-crankshaft at juncture of crankweb for max torque given moments?

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments calculator uses Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2) to calculate the Shear Stress in Shaft at Crank-web Joint, Shear stress in side-crankshaft at juncture of crankweb for max torque given moments is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied net bending moment on the juncture. In designing perspective this is a crucial parameter for determining crankshaft diameter near juncture of crank web. If net bending moment is known to us we can get the idea about net bending force acting on the juncture, therefore we get the idea about shear forces acting on the elemental area. Shear Stress in Shaft at Crank-web Joint is denoted by τ symbol.

How to calculate Shear stress in side-crankshaft at juncture of crankweb for max torque given moments using this online calculator? To use this online calculator for Shear stress in side-crankshaft at juncture of crankweb for max torque given moments, enter Diameter of Crankshaft at Crank-web Joint (d), Resultant Bending Moment at Crank-web Joint (M_b) & Torsional Moment at Crank-web Joint (M_t) and hit the calculate button. Here is how the Shear stress in side-crankshaft at juncture of crankweb for max torque given moments calculation can be explained with given input values -> 5.7E-5 = 16/(pi*0.0304493^3)*sqrt(318.0243^2+6^2).

FAQ

What is Shear stress in side-crankshaft at juncture of crankweb for max torque given moments?

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied net bending moment on the juncture. In designing perspective this is a crucial parameter for determining crankshaft diameter near juncture of crank web. If net bending moment is known to us we can get the idea about net bending force acting on the juncture, therefore we get the idea about shear forces acting on the elemental area and is represented as τ = 16/(pi*d^3)*sqrt(M_b^2+M_t^2) or Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2). Diameter of Crankshaft at Crank-web Joint is the distance measured through the center of the crankshaft around it's circumference at the juncture of crank web and crankshaft, Resultant Bending Moment at Crank-web Joint is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin & Torsional Moment at Crank-web Joint refers to the twisting force acting at the point on the circumference where the crank-web meets the crankshaft, due to the forces acting on the crankpin.

How to calculate Shear stress in side-crankshaft at juncture of crankweb for max torque given moments?

Shear stress in side-crankshaft at juncture of crankweb for max torque given moments is the amount of shear force applied throughout the cross-sectional area of crankshaft near the juncture of crank-web, due to the applied net bending moment on the juncture. In designing perspective this is a crucial parameter for determining crankshaft diameter near juncture of crank web. If net bending moment is known to us we can get the idea about net bending force acting on the juncture, therefore we get the idea about shear forces acting on the elemental area is calculated using Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2). To calculate Shear stress in side-crankshaft at juncture of crankweb for max torque given moments, you need Diameter of Crankshaft at Crank-web Joint (d), Resultant Bending Moment at Crank-web Joint (M_b) & Torsional Moment at Crank-web Joint (M_t). With our tool, you need to enter the respective value for Diameter of Crankshaft at Crank-web Joint, Resultant Bending Moment at Crank-web Joint & Torsional Moment at Crank-web Joint 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 Shear Stress in Shaft at Crank-web Joint?

In this formula, Shear Stress in Shaft at Crank-web Joint uses Diameter of Crankshaft at Crank-web Joint, Resultant Bending Moment at Crank-web Joint & Torsional Moment at Crank-web Joint. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress in Shaft at Crank-web Joint = 16/(pi*Diameter of Crankshaft at Crank-web Joint^3)*sqrt((Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)+(Tangential Force at Crankpin*Distance Between Crank Pin and Crankshaft)^2)

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