Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2)))
Mbv = (Rv1*(b1+(lc/2)+(t/2)))-(Pr*((lc/2)+(t/2)))
This formula uses 6 Variables
Variables Used
Vertical Bending Moment at Crank web Joint - (Measured in Newton Meter) - Vertical Bending Moment at Crank web Joint is the bending moment in the vertical plane of the crankshaft at the juncture of the crank web.
Vertical Reaction at Bearing 1 due to Radial Force - (Measured in Newton) - Vertical Reaction at Bearing 1 due to Radial Force is the vertical reaction force on the 1st bearing of the crankshaft because of the radial component of thrust force acting on connecting rod.
Distance from Bearing 1 to Center of Crank Pin - (Measured in Meter) - Distance from bearing 1 to center of crank pin is the distance between the 1st bearing of a center crankshaft and the line of action of force on the crank pin.
Length of Crank Pin - (Measured in Meter) - Length of crank pin is the size of the crankpin from one end to the other and tells how long is the crankpin.
Thickness of Crank Web - (Measured in Meter) - Thickness of crank web is defined as the thickness of the crank web (the portion of a crank between the crankpin and the shaft) measured parallel to the crankpin longitudinal axis.
Radial Force at Crank Pin - (Measured in Newton) - Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod.
STEP 1: Convert Input(s) to Base Unit
Vertical Reaction at Bearing 1 due to Radial Force: 5100 Newton --> 5100 Newton No Conversion Required
Distance from Bearing 1 to Center of Crank Pin: 155 Millimeter --> 0.155 Meter (Check conversion ​here)
Length of Crank Pin: 43 Millimeter --> 0.043 Meter (Check conversion ​here)
Thickness of Crank Web: 40 Millimeter --> 0.04 Meter (Check conversion ​here)
Radial Force at Crank Pin: 21500 Newton --> 21500 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mbv = (Rv1*(b1+(lc/2)+(t/2)))-(Pr*((lc/2)+(t/2))) --> (5100*(0.155+(0.043/2)+(0.04/2)))-(21500*((0.043/2)+(0.04/2)))
Evaluating ... ...
Mbv = 109.9
STEP 3: Convert Result to Output's Unit
109.9 Newton Meter --> No Conversion Required
FINAL ANSWER
109.9 Newton Meter <-- Vertical Bending Moment at Crank web Joint
(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil
Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque Calculators

Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque
​ LaTeX ​ Go Horizontal Bending Moment at Right Crank web Joint = Horizontal Force at Bearing 1 by Tangential Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2))-Tangential Force on Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))
Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque
​ LaTeX ​ Go Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2)))
Diameter of centre crankshaft at juncture of right crankweb for max torque given moments
​ LaTeX ​ Go Diameter of Crankshaft at Crankweb Joint = ((16/(pi*Shear Stress in Shaft at Crankweb Joint))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2)))^(1/3)
Torsional moment in centre crankshaft at juncture of right crankweb for maximum torque
​ LaTeX ​ Go Torsional Moment at Crankweb Joint = Tangential Force on Crank Pin*Distance Between Crank Pin and Crankshaft

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque Formula

​LaTeX ​Go
Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2)))
Mbv = (Rv1*(b1+(lc/2)+(t/2)))-(Pr*((lc/2)+(t/2)))

Bending Moment vs Torsional Moment

In simple words, bending moment causes bending of the section, and Torsional moment (Torque) causes twisting of the section. If we talk about stresses induced, Due to torque-predominantly shear stress is induced in section and Due to bending - predominantly we have normal stresses.

Given a section and a moment is applied, then how do we decide that this moment is torque or bending moment?

It depends on the axis about which moment is applied. If the moment is applied about the longitudinal axis-it causes twisting of the section-then we call it torque and If we apply moment along the transverse axis-it causes bending of the section, then we can call it bending moment.

How to Calculate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?

Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque calculator uses Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))) to calculate the Vertical Bending Moment at Crank web Joint, Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque is the amount of bending moment at the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment. Vertical Bending Moment at Crank web Joint is denoted by Mbv symbol.

How to calculate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque using this online calculator? To use this online calculator for Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque, enter Vertical Reaction at Bearing 1 due to Radial Force (Rv1), Distance from Bearing 1 to Center of Crank Pin (b1), Length of Crank Pin (lc), Thickness of Crank Web (t) & Radial Force at Crank Pin (Pr) and hit the calculate button. Here is how the Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque calculation can be explained with given input values -> 109.9 = (5100*(0.155+(0.043/2)+(0.04/2)))-(21500*((0.043/2)+(0.04/2))).

FAQ

What is Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?
Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque is the amount of bending moment at the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment and is represented as Mbv = (Rv1*(b1+(lc/2)+(t/2)))-(Pr*((lc/2)+(t/2))) or Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))). Vertical Reaction at Bearing 1 due to Radial Force is the vertical reaction force on the 1st bearing of the crankshaft because of the radial component of thrust force acting on connecting rod, Distance from bearing 1 to center of crank pin is the distance between the 1st bearing of a center crankshaft and the line of action of force on the crank pin, Length of crank pin is the size of the crankpin from one end to the other and tells how long is the crankpin, Thickness of crank web is defined as the thickness of the crank web (the portion of a crank between the crankpin and the shaft) measured parallel to the crankpin longitudinal axis & Radial Force at Crank Pin is the component of thrust force on connecting rod acting at the crankpin in the direction radially to the connecting rod.
How to calculate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque?
Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque is the amount of bending moment at the centre crankshaft at the juncture of the right crank web and the crankshaft when the crankshaft is designed for the maximum torsional moment is calculated using Vertical Bending Moment at Crank web Joint = (Vertical Reaction at Bearing 1 due to Radial Force*(Distance from Bearing 1 to Center of Crank Pin+(Length of Crank Pin/2)+(Thickness of Crank Web/2)))-(Radial Force at Crank Pin*((Length of Crank Pin/2)+(Thickness of Crank Web/2))). To calculate Bending moment in vertical plane of centre crankshaft at juncture of right crankweb for max torque, you need Vertical Reaction at Bearing 1 due to Radial Force (Rv1), Distance from Bearing 1 to Center of Crank Pin (b1), Length of Crank Pin (lc), Thickness of Crank Web (t) & Radial Force at Crank Pin (Pr). With our tool, you need to enter the respective value for Vertical Reaction at Bearing 1 due to Radial Force, Distance from Bearing 1 to Center of Crank Pin, Length of Crank Pin, Thickness of Crank Web & Radial Force at Crank Pin and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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