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

STEP 0: Pre-Calculation Summary
Formula Used
Resultant Bending Moment at Crank-web Joint = sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2)
Mb = sqrt(Mbh^2+Mbv^2)
This formula uses 1 Functions, 3 Variables
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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Horizontal Bending Moment at Crank-web Joint: 29800 Newton Millimeter --> 29.8 Newton Meter (Check conversion ​here)
Vertical Bending Moment at Crank-web Joint: 316625 Newton Millimeter --> 316.625 Newton Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mb = sqrt(Mbh^2+Mbv^2) --> sqrt(29.8^2+316.625^2)
Evaluating ... ...
Mb = 318.024261063523
STEP 3: Convert Result to Output's Unit
318.024261063523 Newton Meter -->318024.261063523 Newton Millimeter (Check conversion ​here)
FINAL ANSWER
318024.261063523 318024.3 Newton Millimeter <-- Resultant Bending Moment at Crank-web Joint
(Calculation completed in 00.004 seconds)

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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

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

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

Engine forces that acts on the crank pin.

There are two primary engine forces that act on the crankpin:

1.Tangential Force: This is the main force responsible for generating torque in the crankshaft. It acts along the radius of the crankpin, in a direction tangent to the circle traced by the crankpin center. This force originates from the combustion pressure pushing down on the piston in the engine cylinder. The connecting rod transmits this force to the crankpin at an angle, but the component of the force acting along the crankpin radius is the tangential force.

2.Radial Force: This force acts perpendicular to the crankpin radius, pushing the crankpin outwards. It arises due to the angle between the connecting rod and the crankpin at different points in the engine cycle. While not directly contributing to torque, the radial force plays a role in creating bending moments in the crankshaft and crankweb.

These forces are typically influenced by engine pressure, engine speed, connecting rod angle etc.

How to Calculate Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments?

Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments calculator uses Resultant Bending Moment at Crank-web Joint = sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2) to calculate the Resultant Bending Moment at Crank-web Joint, Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin. While designing the crankshaft we consider the maximum torque applied on the shaft. If we know two bending moments which acts perpendicular to each other, we can easily determine the resultant bending moments that acts on the juncture of crank-web and crankshaft. Resultant Bending Moment at Crank-web Joint is denoted by Mb symbol.

How to calculate Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments using this online calculator? To use this online calculator for Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments, enter Horizontal Bending Moment at Crank-web Joint (Mbh) & Vertical Bending Moment at Crank-web Joint (Mbv) and hit the calculate button. Here is how the Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments calculation can be explained with given input values -> 3.2E+8 = sqrt(29.8^2+316.625^2).

FAQ

What is Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments?
Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin. While designing the crankshaft we consider the maximum torque applied on the shaft. If we know two bending moments which acts perpendicular to each other, we can easily determine the resultant bending moments that acts on the juncture of crank-web and crankshaft and is represented as Mb = sqrt(Mbh^2+Mbv^2) or Resultant Bending Moment at Crank-web Joint = sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2). 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.
How to calculate Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments?
Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial force on crankpin. While designing the crankshaft we consider the maximum torque applied on the shaft. If we know two bending moments which acts perpendicular to each other, we can easily determine the resultant bending moments that acts on the juncture of crank-web and crankshaft is calculated using Resultant Bending Moment at Crank-web Joint = sqrt(Horizontal Bending Moment at Crank-web Joint^2+Vertical Bending Moment at Crank-web Joint^2). To calculate Resultant bending moment in side crankshaft at juncture of crankweb for max torque given moments, you need Horizontal Bending Moment at Crank-web Joint (Mbh) & Vertical Bending Moment at Crank-web Joint (Mbv). With our tool, you need to enter the respective value for Horizontal Bending Moment at Crank-web Joint & Vertical Bending 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 Resultant Bending Moment at Crank-web Joint?
In this formula, Resultant Bending Moment at Crank-web Joint uses Horizontal Bending Moment at Crank-web Joint & Vertical Bending Moment at Crank-web Joint. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)
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