Total compressive stress at central plane of crank web of centre crankshaft at TDC position Calculator

✖Vertical Reaction at Bearing 1 due to Crankpin Force is the vertical reaction force acting on the 1st bearing of the crankshaft because of the force acting onto the crankpin.ⓘ Vertical Reaction at Bearing 1 [R₁V]			+10% -10%
✖Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis.ⓘ Width of Crank Web [w]			+10% -10%
✖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.ⓘ Thickness of Crank Web [t]			+10% -10%
✖Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre crankshaft and the line of action of force on the crank pin.ⓘ Centre Crankshaft Bearing1 Gap from CrankPinCentre [b₁]			+10% -10%
✖Length of Crank Pin is the size of the crankpin from one end to the other and tells how long is the crankpin.ⓘ Length of Crank Pin [l_c]			+10% -10%

✖Total Compressive stress in crank web central plane is the sum of Compressive Stress in Crank Web Central Plane and Bending Stress in Crankpin.ⓘ Total compressive stress at central plane of crank web of centre crankshaft at TDC position [σ_cTotal]

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Formula

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Total compressive stress at central plane of crank web of centre crankshaft at TDC position

Formula

`"σ"_{"cTotal"} = ((("R"_{"1"}"V"))/("w"*"t"))+((6*("R"_{"1"}"V")*(("b"_{"1"})-("l"_{"c"}/2)-("t"/2)))/("w"*"t"^2))`

Example

`"34.13437N/mm²"=(("10725N")/("65mm"*"40mm"))+((6*"10725N"*(("90mm")-("43mm"/2)-("40mm"/2)))/("65mm"*("40mm")^2))`

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Total compressive stress at central plane of crank web of centre crankshaft at TDC position Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Compressive Stress in Crank Web = ((Vertical Reaction at Bearing 1)/(Width of Crank Web*Thickness of Crank Web))+((6*Vertical Reaction at Bearing 1*((Centre Crankshaft Bearing1 Gap from CrankPinCentre)-(Length of Crank Pin/2)-(Thickness of Crank Web/2)))/(Width of Crank Web*Thickness of Crank Web^2))
σ_cTotal = ((R₁V)/(w*t))+((6*R₁V*((b₁)-(l_c/2)-(t/2)))/(w*t^2))
This formula uses 6 Variables

Variables Used

Total Compressive Stress in Crank Web - (Measured in Pascal) - Total Compressive stress in crank web central plane is the sum of Compressive Stress in Crank Web Central Plane and Bending Stress in Crankpin.
Vertical Reaction at Bearing 1 - (Measured in Newton) - Vertical Reaction at Bearing 1 due to Crankpin Force is the vertical reaction force acting on the 1st bearing of the crankshaft because of the force acting onto the crankpin.
Width of Crank Web - (Measured in Meter) - Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis.
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.
Centre Crankshaft Bearing1 Gap from CrankPinCentre - (Measured in Meter) - Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre 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.

STEP 1: Convert Input(s) to Base Unit

Vertical Reaction at Bearing 1: 10725 Newton --> 10725 Newton No Conversion Required
Width of Crank Web: 65 Millimeter --> 0.065 Meter (Check conversion here)
Thickness of Crank Web: 40 Millimeter --> 0.04 Meter (Check conversion here)
Centre Crankshaft Bearing1 Gap from CrankPinCentre: 90 Millimeter --> 0.09 Meter (Check conversion here)
Length of Crank Pin: 43 Millimeter --> 0.043 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_cTotal = ((R₁V)/(w*t))+((6*R₁V*((b₁)-(l_c/2)-(t/2)))/(w*t^2)) --> ((10725)/(0.065*0.04))+((6*10725*((0.09)-(0.043/2)-(0.04/2)))/(0.065*0.04^2))

Evaluating ... ...

σ_cTotal = 34134375

STEP 3: Convert Result to Output's Unit

34134375 Pascal -->34.134375 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

34.134375 ≈ 34.13437 Newton per Square Millimeter <-- Total Compressive Stress in Crank Web

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Crankshaft » Design of Centre Crankshaft » Design of Crank Web at Top Dead Centre Position » Total compressive stress at central plane of crank web of centre crankshaft at TDC position

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< 15 Design of Crank Web at Top Dead Centre Position Calculators

Total compressive stress at central plane of crank web of centre crankshaft at TDC position

Go Total Compressive Stress in Crank Web = ((Vertical Reaction at Bearing 1)/(Width of Crank Web*Thickness of Crank Web))+((6*Vertical Reaction at Bearing 1*((Centre Crankshaft Bearing1 Gap from CrankPinCentre)-(Length of Crank Pin/2)-(Thickness of Crank Web/2)))/(Width of Crank Web*Thickness of Crank Web^2))

Bending stress at central plane of crank web of centre crankshaft at TDC position

Go Bending Stress in Crank web = (6*Vertical Reaction at Bearing 1*((Centre Crankshaft Bearing1 Gap from CrankPinCentre)-(Length of Crank Pin/2)-(Thickness of Crank Web/2)))/(Width of Crank Web*Thickness of Crank Web^2)

Bending moment at central plane of crank web of centre crankshaft at TDC position

Go Bending Moment at central plane of crank web = Vertical Reaction at Bearing 1*((Centre Crankshaft Bearing1 Gap from CrankPinCentre)-(Length of Crank Pin/2)-(Thickness of Crank Web/2))

Maximum Bending stress in crank web of centre crankshaft at TDC position given bending moment

Go Bending Stress in Crank web = (Bending Moment at central plane of crank web*6)/(Width of Crank Web*Thickness of Crank Web^2)

Direct compressive stress in central plane of crank web of centre crankshaft at TDC position

Go Compressive Stress in Crank Web Central Plane = (Vertical Reaction at Bearing 1)/(Width of Crank Web*Thickness of Crank Web)

Thickness of crank web of centre crankshaft at TDC position given compressive stress

Go Thickness of Crank Web = (Vertical Reaction at Bearing 1)/(Width of Crank Web*Compressive Stress in Crank Web Central Plane)

Width of crank web of centre crankshaft at TDC position given compressive stress

Go Width of Crank Web = (Vertical Reaction at Bearing 1)/(Compressive Stress in Crank Web Central Plane*Thickness of Crank Web)

Thickness of crank web of centre crankshaft at TDC position given bending moment in crank pin

Go Thickness of Crank Web = 0.7*((32*Bending Moment at central plane of crankpin)/(pi*Bending Stress in Crankpin))^(1/3)

Width of crank web of centre crankshaft at TDC position given bending moment in crank pin

Go Width of Crank Web = 1.14*((32*Bending Moment at central plane of crankpin)/(pi*Bending Stress in Crankpin))^(1/3)

Thickness of crank web of centre crankshaft at TDC position given bearing pressure for crank pin

Go Thickness of Crank Web = 0.7*(Force on crank pin)/(Bearing Pressure in Crank Pin*Length of Crank Pin)

Width of crank web of centre crankshaft at TDC position given bearing pressure for crank pin

Go Width of Crank Web = 1.14*(Force on crank pin)/(Bearing Pressure in Crank Pin*Length of Crank Pin)

Thickness of crank web of centre crankshaft at TDC position given diameter of crank pin

Go Thickness of Crank Web = 0.7*Diameter of crank pin

Width of crank web of centre crankshaft at TDC position given thickness of crank web

Go Width of Crank Web = 1.6285*Thickness of Crank Web

Thickness of crank web of centre crankshaft at TDC position given width of crank web

Go Thickness of Crank Web = 0.614*Width of Crank Web

Width of crank web of centre crankshaft at TDC position given diameter of crank pin

Go Width of Crank Web = 1.14*Diameter of crank pin

Total compressive stress at central plane of crank web of centre crankshaft at TDC position Formula

Construction of Crankshaft

A crankshaft is usually manufactured of alloy steel by casting or forging process and is machined and grounded to give suitable journals for the connecting rod and main bearing. It must be strong enough to take the thrust of the pistons during the power strokes without excessive distortion. Also, it must be carefully balanced to eliminate undue vibration resulting from the weight of the offset cranks. The crankshaft is supported by the main bearing on the main journals. A balanced load is provided in the opposite direction of the crankarm for equilibrium. The crankshaft has drilled oil passages through which oil can flow from the main bearing to the connecting rod bearing. The front end of the crankshaft carries gear or sprocket, vibration damper, and fan belt pulley. A gear or sprocket operates the camshaft, and the vibration damper is provided to control torsional vibration.

How to Calculate Total compressive stress at central plane of crank web of centre crankshaft at TDC position?

Total compressive stress at central plane of crank web of centre crankshaft at TDC position calculator uses Total Compressive Stress in Crank Web = ((Vertical Reaction at Bearing 1)/(Width of Crank Web*Thickness of Crank Web))+((6*Vertical Reaction at Bearing 1*((Centre Crankshaft Bearing1 Gap from CrankPinCentre)-(Length of Crank Pin/2)-(Thickness of Crank Web/2)))/(Width of Crank Web*Thickness of Crank Web^2)) to calculate the Total Compressive Stress in Crank Web, Total compressive stress at central plane of crank web of centre crankshaft at TDC position is the total amount of compressive stresses generated into the crank web due to a result a direct compressive stress and the bending stress, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment. Total Compressive Stress in Crank Web is denoted by σ_cTotal symbol.

How to calculate Total compressive stress at central plane of crank web of centre crankshaft at TDC position using this online calculator? To use this online calculator for Total compressive stress at central plane of crank web of centre crankshaft at TDC position, enter Vertical Reaction at Bearing 1 (R₁V), Width of Crank Web (w), Thickness of Crank Web (t), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁) & Length of Crank Pin (l_c) and hit the calculate button. Here is how the Total compressive stress at central plane of crank web of centre crankshaft at TDC position calculation can be explained with given input values -> 3.4E-5 = ((10725)/(0.065*0.04))+((6*10725*((0.09)-(0.043/2)-(0.04/2)))/(0.065*0.04^2)).

FAQ

What is Total compressive stress at central plane of crank web of centre crankshaft at TDC position?

Total compressive stress at central plane of crank web of centre crankshaft at TDC position is the total amount of compressive stresses generated into the crank web due to a result a direct compressive stress and the bending stress, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment and is represented as σ_cTotal = ((R₁V)/(w*t))+((6*R₁V*((b₁)-(l_c/2)-(t/2)))/(w*t^2)) or Total Compressive Stress in Crank Web = ((Vertical Reaction at Bearing 1)/(Width of Crank Web*Thickness of Crank Web))+((6*Vertical Reaction at Bearing 1*((Centre Crankshaft Bearing1 Gap from CrankPinCentre)-(Length of Crank Pin/2)-(Thickness of Crank Web/2)))/(Width of Crank Web*Thickness of Crank Web^2)). Vertical Reaction at Bearing 1 due to Crankpin Force is the vertical reaction force acting on the 1st bearing of the crankshaft because of the force acting onto the crankpin, Width of Crank Web is defined as the width of the crank web (the portion of a crank between the crankpin and the shaft) measured perpendicular to the crankpin longitudinal axis, 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, Centre Crankshaft Bearing1 Gap from CrankPinCentre is the distance between the 1st bearing of a centre 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.

How to calculate Total compressive stress at central plane of crank web of centre crankshaft at TDC position?

Total compressive stress at central plane of crank web of centre crankshaft at TDC position is the total amount of compressive stresses generated into the crank web due to a result a direct compressive stress and the bending stress, designed for when the crank is at the top dead center position and subjected to maximum bending moment and no torsional moment is calculated using Total Compressive Stress in Crank Web = ((Vertical Reaction at Bearing 1)/(Width of Crank Web*Thickness of Crank Web))+((6*Vertical Reaction at Bearing 1*((Centre Crankshaft Bearing1 Gap from CrankPinCentre)-(Length of Crank Pin/2)-(Thickness of Crank Web/2)))/(Width of Crank Web*Thickness of Crank Web^2)). To calculate Total compressive stress at central plane of crank web of centre crankshaft at TDC position, you need Vertical Reaction at Bearing 1 (R₁V), Width of Crank Web (w), Thickness of Crank Web (t), Centre Crankshaft Bearing1 Gap from CrankPinCentre (b₁) & Length of Crank Pin (l_c). With our tool, you need to enter the respective value for Vertical Reaction at Bearing 1, Width of Crank Web, Thickness of Crank Web, Centre Crankshaft Bearing1 Gap from CrankPinCentre & Length of 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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