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

STEP 0: Pre-Calculation Summary
Formula Used
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))
Mb H = R1h*(b1+(lc/2)+(t/2))-Pt*((lc/2)+(t/2))
This formula uses 6 Variables
Variables Used
Horizontal Bending Moment at Right Crank web Joint - (Measured in Newton Meter) - Horizontal Bending Moment at Right Crank web Joint is the bending moment in the horizontal plane of the crankshaft at the juncture of the right crank web.
Horizontal Force at Bearing 1 by Tangential Force - (Measured in Newton) - Horizontal Force at Bearing 1 by Tangential Force is the horizontal reaction force on the 1st bearing of crankshaft because of the tangential 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.
Tangential Force on Crank Pin - (Measured in Newton) - Tangential force on crank pin is the component of thrust force on connecting rod acting on the crankpin in the direction tangential to the connecting rod.
STEP 1: Convert Input(s) to Base Unit
Horizontal Force at Bearing 1 by Tangential Force: 6000 Newton --> 6000 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)
Tangential Force on Crank Pin: 8000 Newton --> 8000 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mb H = R1h*(b1+(lc/2)+(t/2))-Pt*((lc/2)+(t/2)) --> 6000*(0.155+(0.043/2)+(0.04/2))-8000*((0.043/2)+(0.04/2))
Evaluating ... ...
Mb H = 847
STEP 3: Convert Result to Output's Unit
847 Newton Meter -->847000 Newton Millimeter (Check conversion here)
FINAL ANSWER
847000 Newton Millimeter <-- Horizontal Bending Moment at Right Crank web Joint
(Calculation completed in 00.004 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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7 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
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
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
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)
Shear stress in centre crankshaft at juncture of right crankweb for maximum torque
Go Shear Stress in Shaft at Crankweb Joint = (16/(pi*Diameter of Crankshaft at Crankweb Joint^3))*sqrt((Resultant Bending Moment at Crankweb Joint^2)+(Torsional Moment at Crankweb Joint^2))
Diameter of centre crankshaft at juncture of right crankweb for max torque given crankweb moment
Go Diameter of Crankshaft at Crankweb Joint = 2*((Distance Between Crank Pin and Crankshaft)-(Bending Moment in Crankweb due to Tangential Force/Tangential Force on Crank Pin))
Resultant bending moment in centre crankshaft at juncture of right crankweb for maximum torque
Go Resultant Bending Moment at Crankweb Joint = sqrt((Vertical Bending Moment at Crank web Joint^2)+(Horizontal Bending Moment at Right Crank web Joint^2))
Torsional moment in centre crankshaft at juncture of right crankweb for maximum torque
Go Torsional Moment at Crankweb Joint = Tangential Force on Crank Pin*Distance Between Crank Pin and Crankshaft

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

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))
Mb H = R1h*(b1+(lc/2)+(t/2))-Pt*((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 horizontal plane of centre crankshaft at juncture of right crankweb for max torque?

Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque calculator uses 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)) to calculate the Horizontal Bending Moment at Right Crank web Joint, Bending moment in horizontal 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. Horizontal Bending Moment at Right Crank web Joint is denoted by Mb H symbol.

How to calculate Bending moment in horizontal 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 horizontal plane of centre crankshaft at juncture of right crankweb for max torque, enter Horizontal Force at Bearing 1 by Tangential Force (R1h), Distance from Bearing 1 to Center of Crank Pin (b1), Length of Crank Pin (lc), Thickness of Crank Web (t) & Tangential Force on Crank Pin (Pt) and hit the calculate button. Here is how the Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque calculation can be explained with given input values -> 8.5E+8 = 6000*(0.155+(0.043/2)+(0.04/2))-8000*((0.043/2)+(0.04/2)).

FAQ

What is Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque?
Bending moment in horizontal 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 Mb H = R1h*(b1+(lc/2)+(t/2))-Pt*((lc/2)+(t/2)) or 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)). Horizontal Force at Bearing 1 by Tangential Force is the horizontal reaction force on the 1st bearing of crankshaft because of the tangential 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 & Tangential force on crank pin is the component of thrust force on connecting rod acting on the crankpin in the direction tangential to the connecting rod.
How to calculate Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque?
Bending moment in horizontal 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 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)). To calculate Bending moment in horizontal plane of centre crankshaft at juncture of right crankweb for max torque, you need Horizontal Force at Bearing 1 by Tangential Force (R1h), Distance from Bearing 1 to Center of Crank Pin (b1), Length of Crank Pin (lc), Thickness of Crank Web (t) & Tangential Force on Crank Pin (Pt). With our tool, you need to enter the respective value for Horizontal Force at Bearing 1 by Tangential Force, Distance from Bearing 1 to Center of Crank Pin, Length of Crank Pin, Thickness of Crank Web & Tangential Force on 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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