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

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

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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. Check FAQs

M b = \sqrt{{(P t \cdot (0.75 \cdot l c + t))}^{2} + {(P r \cdot (0.75 \cdot l c + t))}^{2}}

M_b - Resultant Bending Moment at Crank-web Joint?P_t - Tangential Force at Crankpin?l_c - Length of Crankpin?t - Thickness of Crank Web?P_r - Radial Force at Crank Pin?

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

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Here is how the Resultant bending moment in side-crankshaft at juncture of crankweb for max torque equation looks like with Values.

Here is how the Resultant bending moment in side-crankshaft at juncture of crankweb for max torque equation looks like with Units.

Here is how the Resultant bending moment in side-crankshaft at juncture of crankweb for max torque equation looks like.

318.0243 = \sqrt{{(80 \cdot (0.75 \cdot 430 + 50))}^{2} + {(850 \cdot (0.75 \cdot 430 + 50))}^{2}}

318.0243N*m = \sqrt{{(80N \cdot (0.75 \cdot 430mm + 50mm))}^{2} + {(850N \cdot (0.75 \cdot 430mm + 50mm))}^{2}}

318.0243 = \sqrt{{(80 \cdot (0.75 \cdot 430 + 50))}^{2} + {(850 \cdot (0.75 \cdot 430 + 50))}^{2}}

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

Follow our step by step solution on how to calculate Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

FIRST Step Consider the formula

M b = \sqrt{{(P t \cdot (0.75 \cdot l c + t))}^{2} + {(P r \cdot (0.75 \cdot l c + t))}^{2}}

Next Step Substitute values of Variables

∴

M b = \sqrt{{(80N \cdot (0.75 \cdot 430mm + 50mm))}^{2} + {(850N \cdot (0.75 \cdot 430mm + 50mm))}^{2}}

Next Step Convert Units

∴

M b = \sqrt{{(80N \cdot (0.75 \cdot 0.43m + 0.05m))}^{2} + {(850N \cdot (0.75 \cdot 0.43m + 0.05m))}^{2}}

Next Step Prepare to Evaluate

∴

M b = \sqrt{{(80 \cdot (0.75 \cdot 0.43 + 0.05))}^{2} + {(850 \cdot (0.75 \cdot 0.43 + 0.05))}^{2}}

Next Step Evaluate

∴

M b = 318.024261063523N*m

LAST Step Rounding Answer

∴

M b = 318.0243N*m

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

Variables

Functions

Resultant Bending Moment at Crank-web Joint

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.

Symbol: M_b

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Resultant Bending Moment at Crank-web Joint

Tangential Force at Crankpin

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.

Symbol: P_t

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Tangential Force at Crankpin

Length of Crankpin

Length of crankpin refers to the axial distance along the crankshaft, between the two ends of the cylindrical crankpin. Theoretically it refers to the distance between two inner surfaces of crank web.

Symbol: l_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Crankpin

Thickness of Crank Web

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.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Crank Web

Radial Force at Crank Pin

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.

Symbol: P_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Radial Force at Crank Pin

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.

Syntax: sqrt(Number)

Other Formulas to find Resultant Bending Moment at Crank-web Joint

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

M b = \sqrt{{M h}^{2} + {M v}^{2}}

Other formulas in Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque category

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

M v = P r \cdot (0.75 \cdot l c + t)

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

M h = P t \cdot (0.75 \cdot l c + t)

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

M t = P t \cdot r

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

τ = \frac{16}{π \cdot d^{3}} \cdot \sqrt{{M b}^{2} + {M t}^{2}}

How to Evaluate Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

Resultant bending moment in side-crankshaft at juncture of crankweb for max torque evaluator uses 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) to evaluate the Resultant Bending Moment at Crank-web Joint, Resultant bending moment in side-crankshaft at juncture of crankweb for max torque is the net internal distribution of force induced at juncture of crank-web and crankshaft due to tangential and radial forces on crankpin. While designing the crankshaft we consider the maximum torque applied on the shaft to avoid failure. Resultant Bending Moment at Crank-web Joint is denoted by M_b symbol.

How to evaluate Resultant bending moment in side-crankshaft at juncture of crankweb for max torque using this online evaluator? To use this online evaluator for Resultant bending moment in side-crankshaft at juncture of crankweb for max torque, enter Tangential Force at Crankpin (P_t), Length of Crankpin (l_c), Thickness of Crank Web (t) & Radial Force at Crank Pin (P_r) and hit the calculate button.

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

What is the formula to find Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

The formula of Resultant bending moment in side-crankshaft at juncture of crankweb for max torque is expressed as 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). Here is an example- 3.2E+8 = sqrt((80*(0.75*0.43+0.05))^2+(850*(0.75*0.43+0.05))^2).

How to calculate Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

With Tangential Force at Crankpin (P_t), Length of Crankpin (l_c), Thickness of Crank Web (t) & Radial Force at Crank Pin (P_r) we can find Resultant bending moment in side-crankshaft at juncture of crankweb for max torque using the formula - 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). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Resultant Bending Moment at Crank-web Joint?

Here are the different ways to Calculate Resultant Bending Moment at Crank-web Joint-

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

Can the Resultant bending moment in side-crankshaft at juncture of crankweb for max torque be negative?

No, the Resultant bending moment in side-crankshaft at juncture of crankweb for max torque, measured in Torque cannot be negative.

Which unit is used to measure Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

Resultant bending moment in side-crankshaft at juncture of crankweb for max torque is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Resultant bending moment in side-crankshaft at juncture of crankweb for max torque can be measured.

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

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

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

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

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

Other Formulas to find Resultant Bending Moment at Crank-web Joint

Other formulas in Design of Shaft at Juncture of Crank Web at Angle of Maximum Torque category

How to Evaluate Resultant bending moment in side-crankshaft at juncture of crankweb for max torque?

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

Variable Name

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