Bending moment in shaft at bearing1 of side crankshaft at TDC position Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32
Mb1 = (σb*pi*d1^3)/32
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Bending Moment at Bearing1 of Crankshaft - (Measured in Newton Meter) - Bending Moment at Bearing1 of Crankshaft is the moment acting on the 1st bearing of the crankshaft which tends to bend it when a force acts on it.
Bending Stress at Bearing1 of Crankshaft - (Measured in Pascal) - Bending Stress at Bearing1 of Crankshaft is the stress in the crankshaft under the 1st bearing of the crankshaft.
Diameter of Journal or Shaft at Bearing 1 - (Measured in Meter) - Diameter of Journal or Shaft at Bearing 1 is the inner diameter of the journal or outer diameter of the shaft at the 1st bearing of the crankshaft.
STEP 1: Convert Input(s) to Base Unit
Bending Stress at Bearing1 of Crankshaft: 18 Newton per Square Millimeter --> 18000000 Pascal (Check conversion ​here)
Diameter of Journal or Shaft at Bearing 1: 60 Millimeter --> 0.06 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Mb1 = (σb*pi*d1^3)/32 --> (18000000*pi*0.06^3)/32
Evaluating ... ...
Mb1 = 381.70350741116
STEP 3: Convert Result to Output's Unit
381.70350741116 Newton Meter -->381703.50741116 Newton Millimeter (Check conversion ​here)
FINAL ANSWER
381703.50741116 381703.5 Newton Millimeter <-- Bending Moment at Bearing1 of Crankshaft
(Calculation completed in 00.004 seconds)

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14 Design of Bearing at Top Dead Centre Position Calculators

Length of crankpin given bending moment at bearing 1 of side crankshaft at TDC position
​ Go Length of Crank Pin = ((Bending Moment at Bearing1 of Crankshaft/Force on Crank Pin)-(Thickness of Crank Web)-(0.5*Length of Bearing1 of Crankshaft))/0.75
Length of Bearing 1 of Side Crankshaft at TDC Position given Bending Moment at Bearing
​ Go Length of Bearing1 of Crankshaft = ((Bending Moment at Bearing1 of Crankshaft/Force on Crank Pin)-(0.75*Length of Crank Pin)-(Thickness of Crank Web))/0.5
Bending moment at bearing 1 of side crankshaft at TDC position
​ Go Bending Moment at Bearing1 of Crankshaft = Force on Crank Pin*((0.75*Length of Crank Pin)+(Thickness of Crank Web)+(0.5*Length of Bearing1 of Crankshaft))
Overhang Distance of piston force from Bearing 1 of side crankshaft at TDC position
​ Go Overhang Distance of Piston Force from Bearing1 = (Vertical Reaction at Bearing 2 due to Crankpin*Distance Between Bearing1&2 of Side Crankshaft)/Force on Crank Pin
Bearing pressure at bearing1 of side crankshaft at TDC position
​ Go Bearing Pressure of Journal at Bearing 1 = (Resultant Reaction on CrankShaft Bearing 1)/(Diameter of Journal or Shaft at Bearing 1*Length of Bearing1 of Crankshaft)
Diameter of journal at bearing1 of side crankshaft at TDC position
​ Go Diameter of Journal or Shaft at Bearing 1 = Resultant Reaction on CrankShaft Bearing 1/(Length of Bearing1 of Crankshaft*Bearing Pressure of Journal at Bearing 1)
Length of bearing1 of side crankshaft at TDC position
​ Go Length of Bearing1 of Crankshaft = Resultant Reaction on CrankShaft Bearing 1/(Bearing Pressure of Journal at Bearing 1*Diameter of Journal or Shaft at Bearing 1)
Diameter of shaft at bearing1 of side crankshaft at TDC position
​ Go Diameter of Journal or Shaft at Bearing 1 = ((32*Bending Moment at Bearing1 of Crankshaft)/(pi*Bending Stress at Bearing1 of Crankshaft))^(1/3)
Bending stress in shaft at bearing1 of side crankshaft at TDC position
​ Go Bending Stress at Bearing1 of Crankshaft = (32*Bending Moment at Bearing1 of Crankshaft)/(pi*Diameter of Journal or Shaft at Bearing 1^3)
Bending moment in shaft at bearing1 of side crankshaft at TDC position
​ Go Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32
Minimum length of Bearing 1 of side crankshaft at TDC position given crankpin diameter
​ Go Length of Bearing1 of Crankshaft = 1.5*Diameter of Crank Pin
Maximum length of Bearing 1 of side crankshaft at TDC position given crankpin diameter
​ Go Length of Bearing1 of Crankshaft = 2*Diameter of Crank Pin
Minimum thickness of crankweb given crankpin diameter
​ Go Thickness of Crank Web = 0.45*Diameter of Crank Pin
Maximum thickness of crankweb given crankpin diameter
​ Go Thickness of Crank Web = 0.75*Diameter of Crank Pin

Bending moment in shaft at bearing1 of side crankshaft at TDC position Formula

Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32
Mb1 = (σb*pi*d1^3)/32

How are bearings classified?

Depending upon the direction of the load to be supported, the bearings can be classified as Radial and Thrust bearings. In radial bearings, the load acts perpendicular to the direction of motion of the moving element. In thrust bearings, the load acts along the axis of rotation. Depending upon the nature of the contact, the bearings can be classified as sliding contact and rolling contact bearings. In sliding contact bearings, the sliding takes place along the surfaces of contact between the moving element and the fixed element. The sliding contact bearings are also known as plain bearings. In rolling contact bearings, the steel balls or rollers, are interposed between the moving and fixed elements. The balls offer rolling friction at two points for each ball or roller.

How to Calculate Bending moment in shaft at bearing1 of side crankshaft at TDC position?

Bending moment in shaft at bearing1 of side crankshaft at TDC position calculator uses Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32 to calculate the Bending Moment at Bearing1 of Crankshaft, Bending moment in shaft at bearing1 of side crankshaft at TDC position is the bending moment in the part of the side crankshaft below the 1st bearing used to support the crankshaft. Bending Moment at Bearing1 of Crankshaft is denoted by Mb1 symbol.

How to calculate Bending moment in shaft at bearing1 of side crankshaft at TDC position using this online calculator? To use this online calculator for Bending moment in shaft at bearing1 of side crankshaft at TDC position, enter Bending Stress at Bearing1 of Crankshaft b) & Diameter of Journal or Shaft at Bearing 1 (d1) and hit the calculate button. Here is how the Bending moment in shaft at bearing1 of side crankshaft at TDC position calculation can be explained with given input values -> 3.8E+8 = (18000000*pi*0.06^3)/32.

FAQ

What is Bending moment in shaft at bearing1 of side crankshaft at TDC position?
Bending moment in shaft at bearing1 of side crankshaft at TDC position is the bending moment in the part of the side crankshaft below the 1st bearing used to support the crankshaft and is represented as Mb1 = (σb*pi*d1^3)/32 or Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32. Bending Stress at Bearing1 of Crankshaft is the stress in the crankshaft under the 1st bearing of the crankshaft & Diameter of Journal or Shaft at Bearing 1 is the inner diameter of the journal or outer diameter of the shaft at the 1st bearing of the crankshaft.
How to calculate Bending moment in shaft at bearing1 of side crankshaft at TDC position?
Bending moment in shaft at bearing1 of side crankshaft at TDC position is the bending moment in the part of the side crankshaft below the 1st bearing used to support the crankshaft is calculated using Bending Moment at Bearing1 of Crankshaft = (Bending Stress at Bearing1 of Crankshaft*pi*Diameter of Journal or Shaft at Bearing 1^3)/32. To calculate Bending moment in shaft at bearing1 of side crankshaft at TDC position, you need Bending Stress at Bearing1 of Crankshaft b) & Diameter of Journal or Shaft at Bearing 1 (d1). With our tool, you need to enter the respective value for Bending Stress at Bearing1 of Crankshaft & Diameter of Journal or Shaft at Bearing 1 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 Bending Moment at Bearing1 of Crankshaft?
In this formula, Bending Moment at Bearing1 of Crankshaft uses Bending Stress at Bearing1 of Crankshaft & Diameter of Journal or Shaft at Bearing 1. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Bending Moment at Bearing1 of Crankshaft = Force on Crank Pin*((0.75*Length of Crank Pin)+(Thickness of Crank Web)+(0.5*Length of Bearing1 of Crankshaft))
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