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

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Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque Design of Crank Web at Top Dead Centre Position Bearing Reactions at Top Dead Centre Position Bearings Reactions at Angle of Maximum Torque More >>

✖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%
✖Horizontal Bending Moment at Crank-web Joint is the internal bending force acting in the horizontal plane at juncture of crank-web and crankshaft due to tangential force applied on crank-pin.ⓘ Horizontal Bending Moment at Crank-web Joint [M_h]			+10% -10%
✖Vertical Bending Moment at Crank-web Joint is the bending force acting in the vertical plane at juncture of crank-web and crankshaft, due to radial force applied on crank-pin.ⓘ Vertical Bending Moment at Crank-web Joint [M_v]			+10% -10%
✖Tangential Force at Crankpin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod.ⓘ Tangential Force at Crankpin [P_t]			+10% -10%
✖Distance between crank pin and crankshaft is the perpendicular distance measured between the center of the crank pin and the center of the crankshaft.ⓘ Distance Between Crank Pin and Crankshaft [r]			+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 [τ]

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Shear stress in side-crankshaft at juncture of crankweb for max torque 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((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)
τ = 16/(pi*d^3)*sqrt((M_h^2+M_v^2)+(P_t*r)^2)
This formula uses 1 Constants, 1 Functions, 6 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.
Horizontal Bending Moment at Crank-web Joint - (Measured in Newton Meter) - Horizontal Bending Moment at Crank-web Joint is the internal bending force acting in the horizontal plane at juncture of crank-web and crankshaft due to tangential force applied on crank-pin.
Vertical Bending Moment at Crank-web Joint - (Measured in Newton Meter) - Vertical Bending Moment at Crank-web Joint is the bending force acting in the vertical plane at juncture of crank-web and crankshaft, due to radial force applied on crank-pin.
Tangential Force at Crankpin - (Measured in Newton) - Tangential Force at Crankpin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod.
Distance Between Crank Pin and Crankshaft - (Measured in Meter) - Distance between crank pin and crankshaft is the perpendicular distance measured between the center of the crank pin and the center of the crankshaft.

STEP 1: Convert Input(s) to Base Unit

Diameter of Crankshaft at Crank-web Joint: 30.4493 Millimeter --> 0.0304493 Meter (Check conversion here)
Horizontal Bending Moment at Crank-web Joint: 29800 Newton Millimeter --> 29.8 Newton Meter (Check conversion here)
Vertical Bending Moment at Crank-web Joint: 316.625 Newton Meter --> 316.625 Newton Meter No Conversion Required
Tangential Force at Crankpin: 80 Newton --> 80 Newton No Conversion Required
Distance Between Crank Pin and Crankshaft: 75 Millimeter --> 0.075 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = 16/(pi*d^3)*sqrt((M_h^2+M_v^2)+(P_t*r)^2) --> 16/(pi*0.0304493^3)*sqrt((29.8^2+316.625^2)+(80*0.075)^2)

Evaluating ... ...

τ = 57382002.6915474

STEP 3: Convert Result to Output's Unit

57382002.6915474 Pascal -->57.3820026915474 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

57.3820026915474 ≈ 57.382 Newton per Square Millimeter <-- Shear Stress in Shaft at Crank-web Joint

(Calculation completed in 00.004 seconds)

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

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

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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 Formula

LaTeX Go

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?

Shear stress in side-crankshaft at juncture of crankweb for max torque calculator uses 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) to calculate the Shear Stress in Shaft at Crank-web Joint, Shear stress in side-crankshaft at juncture of crankweb for max torque 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. 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 using this online calculator? To use this online calculator for Shear stress in side-crankshaft at juncture of crankweb for max torque, enter Diameter of Crankshaft at Crank-web Joint (d), Horizontal Bending Moment at Crank-web Joint (M_h), Vertical Bending Moment at Crank-web Joint (M_v), Tangential Force at Crankpin (P_t) & Distance Between Crank Pin and Crankshaft (r) and hit the calculate button. Here is how the Shear stress in side-crankshaft at juncture of crankweb for max torque calculation can be explained with given input values -> 5.7E-5 = 16/(pi*0.0304493^3)*sqrt((29.8^2+316.625^2)+(80*0.075)^2).

FAQ

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

Shear stress in side-crankshaft at juncture of crankweb for max torque 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 and is represented as τ = 16/(pi*d^3)*sqrt((M_h^2+M_v^2)+(P_t*r)^2) or 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). 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, Horizontal Bending Moment at Crank-web Joint is the internal bending force acting in the horizontal plane at juncture of crank-web and crankshaft due to tangential force applied on crank-pin, Vertical Bending Moment at Crank-web Joint is the bending force acting in the vertical plane at juncture of crank-web and crankshaft, due to radial force applied on crank-pin, Tangential Force at Crankpin is the component of thrust force on connecting rod acting at the crankpin in the direction tangential to the connecting rod & Distance between crank pin and crankshaft is the perpendicular distance measured between the center of the crank pin and the center of the crankshaft.

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

Shear stress in side-crankshaft at juncture of crankweb for max torque 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 is calculated using 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). To calculate Shear stress in side-crankshaft at juncture of crankweb for max torque, you need Diameter of Crankshaft at Crank-web Joint (d), Horizontal Bending Moment at Crank-web Joint (M_h), Vertical Bending Moment at Crank-web Joint (M_v), Tangential Force at Crankpin (P_t) & Distance Between Crank Pin and Crankshaft (r). With our tool, you need to enter the respective value for Diameter of Crankshaft at Crank-web Joint, Horizontal Bending Moment at Crank-web Joint, Vertical Bending Moment at Crank-web Joint, Tangential Force at Crankpin & Distance Between Crank Pin and Crankshaft 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, Horizontal Bending Moment at Crank-web Joint, Vertical Bending Moment at Crank-web Joint, Tangential Force at Crankpin & Distance Between Crank Pin and Crankshaft. 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(Resultant Bending Moment at Crank-web Joint^2+Torsional Moment at Crank-web Joint^2)

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