Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Compressive Stress in Crank Web = (Direct Compressive Stress in crankweb/2)+((sqrt((Direct Compressive Stress in crankweb^2)+(4*Shear Stress in Crankweb^2)))/2)
σcmax = (σcd/2)+((sqrt((σcd^2)+(4*T^2)))/2)
This formula uses 1 Functions, 3 Variables
Functions Used
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., sqrt(Number)
Variables Used
Maximum Compressive Stress in Crank Web - (Measured in Pascal) - Maximum Compressive Stress in Crank Web is stress in Crank Web as a result of compressive stress by radial thrust on connecting rod, &bending stress by tangential & radial components of thrust force.
Direct Compressive Stress in crankweb - (Measured in Pascal) - Direct Compressive Stress in crankweb is the compressive stress in the crank web as a result of only the radial component of thrust force onto the connecting rod & crankpin.
Shear Stress in Crankweb - (Measured in Pascal) - Shear Stress in Crankweb is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) in the crankweb.
STEP 1: Convert Input(s) to Base Unit
Direct Compressive Stress in crankweb: 4.134615 Newton per Square Millimeter --> 4134615 Pascal (Check conversion ​here)
Shear Stress in Crankweb: 18.95491086 Newton per Square Millimeter --> 18954910.86 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σcmax = (σcd/2)+((sqrt((σcd^2)+(4*T^2)))/2) --> (4134615/2)+((sqrt((4134615^2)+(4*18954910.86^2)))/2)
Evaluating ... ...
σcmax = 21134620.0009819
STEP 3: Convert Result to Output's Unit
21134620.0009819 Pascal -->21.1346200009819 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
21.1346200009819 21.13462 Newton per Square Millimeter <-- Maximum Compressive Stress in Crank Web
(Calculation completed in 00.004 seconds)

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20 Design of Crank Web at Angle of Maximum Torque Calculators

Maximum compressive stress in crankweb of centre crankshaft for max torque given crankweb dimensions
​ Go Maximum Compressive Stress in Crank Web = (6*Bending Moment in Crankweb due to Radial Force)/(Thickness of Crank Web^2*Width of Crank Web)+(6*Bending Moment in Crankweb due to Tangential Force)/(Thickness of Crank Web*Width of Crank Web^2)+(Radial Force at Crank Pin/(2*Width of Crank Web*Thickness of Crank Web))
Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing1
​ Go Shear Stress in Crankweb = (4.5/(Width of Crank Web*Thickness of Crank Web^2))*((Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+(Length of Crank Pin/2)))-(Tangential Force at Crank Pin*(Length of Crank Pin/2)))
Torsional moment in crankweb of centre crankshaft for max torque given reaction on bearing1
​ Go Torsional Moment in Crankweb = (Horizontal Force at Bearing1 by Tangential Force*(Centre Crankshaft Bearing1 Gap from CrankPinCentre+(Length of Crank Pin/2)))-(Tangential Force at Crank Pin*(Length of Crank Pin/2))
Shear stress in crankweb of centre crankshaft for max torque given reaction on bearing2
​ Go Shear Stress in Crankweb = (4.5/(Width of Crank Web*Thickness of Crank Web^2))*(Horizontal Force at Bearing2 by Tangential Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)))
Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque
​ Go Bending Moment in Crankweb due to Radial Force = Vertical Reaction at Bearing 2 due to Radial Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)-(Thickness of Crank Web/2))
Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress
​ Go Maximum Compressive Stress in Crank Web = (Direct Compressive Stress in crankweb/2)+((sqrt((Direct Compressive Stress in crankweb^2)+(4*Shear Stress in Crankweb^2)))/2)
Maximum compressive stress in crankweb of centre crankshaft for max torque
​ Go Maximum Compressive Stress in Crank Web = Direct Compressive Stress in crankweb+Bending Stress in Crankweb due to Radial Force+Bending Stress in Crankweb due to Tangential Force
Bending moment in crankweb of centre crankshaft due to tangential thrust for maximum torque
​ Go Bending Moment in Crankweb due to Tangential Force = Tangential Force at Crank Pin*(Distance Between Crank Pin and Crankshaft-(Diameter of Crankshaft at Crankweb Joint/2))
Torsional moment in crankweb of centre crankshaft for max torque given reaction on bearing2
​ Go Torsional Moment in Crankweb = (Horizontal Force at Bearing2 by Tangential Force*(Centre Crankshaft Bearing2 Gap from CrankPinCentre-(Length of Crank Pin/2)))
Bending stress in crankweb of centre crankshaft due to tangential thrust for max torque given moment
​ Go Bending Stress in Crankweb due to Tangential Force = (6*Bending Moment in Crankweb due to Tangential Force)/(Thickness of Crank Web*Width of Crank Web^2)
Bending moment in crankweb of centre crankshaft due to tangential thrust for max torque given stress
​ Go Bending Moment in Crankweb due to Tangential Force = (Bending Stress in Crankweb due to Tangential Force*Thickness of Crank Web*Width of Crank Web^2)/6
Bending stress in crankweb of centre crankshaft due to radial thrust for max torque given moment
​ Go Bending Stress in Crankweb due to Radial Force = (6*Bending Moment in Crankweb due to Radial Force)/(Thickness of Crank Web^2*Width of Crank Web)
Bending moment in crankweb of centre crankshaft due to radial thrust for max torque given stress
​ Go Bending Moment in Crankweb due to Radial Force = (Bending Stress in Crankweb due to Radial Force*Width of Crank Web*Thickness of Crank Web^2)/6
Direct compressive stress in crankweb of centre crankshaft due to radial thrust for max torque
​ Go Direct Compressive Stress in crankweb = Radial Force at Crank Pin/(2*Width of Crank Web*Thickness of Crank Web)
Shear stress in crankweb of centre crankshaft for max torque given torsional moment
​ Go Shear Stress in Crankweb = (4.5*Torsional Moment in Crankweb)/(Width of Crank Web*Thickness of Crank Web^2)
Torsional moment in crankweb of centre crankshaft for max torque given shear stress
​ Go Torsional Moment in Crankweb = (Shear Stress in Crankweb*Width of Crank Web*Thickness of Crank Web^2)/4.5
Torsional moment in crankweb of centre crankshaft for max torque given polar section modulus
​ Go Torsional Moment in Crankweb = Shear Stress in Crankweb*Polar Section Modulus of Crankweb
Shear stress in crankweb of centre crankshaft for max torque given polar section modulus
​ Go Shear Stress in Crankweb = Torsional Moment in Crankweb/Polar Section Modulus of Crankweb
Polar section modulus of crankweb of centre crankshaft for max torque
​ Go Polar Section Modulus of Crankweb = (Width of Crank Web*Thickness of Crank Web^2)/4.5
Section modulus of crankweb of centre crankshaft for max torque
​ Go Section Modulus of Crankweb = (Width of Crank Web*Thickness of Crank Web^2)/6

Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress Formula

Maximum Compressive Stress in Crank Web = (Direct Compressive Stress in crankweb/2)+((sqrt((Direct Compressive Stress in crankweb^2)+(4*Shear Stress in Crankweb^2)))/2)
σcmax = (σcd/2)+((sqrt((σcd^2)+(4*T^2)))/2)

Tensile and Compressive stress

Stress represents the action of a force or moment on a structural member. If the force pulls the member (tension) it results in tensile stress; if the force pushes the member (compression) it results in compressive stress. Tensile stresses stretch a member and compressive stresses squeeze a member. There is a significant difference between the behavior of a structural member in tension and compression. Depending on how slender the structural member is, it may buckle or crush under compression stresses. However, buckling does not occur when a structural member is subjected to tensile stresses. Tensile stress results in the elongation of the member.

Bending Stresses

Bending is due to the internal moment. Since a moment can be resolved into a couple, the internal moment can be considered as a compression force (C) and a tensile force (T). The compression force results in compressive stresses and tensile force in tensile stresses. Therefore, bending stress is a combination of compressive and tensile stresses due to internal moments. Since the stress across a beam section varies from compression to tension, there is a location at which stress is equal to zero. This is called the “neutral axis”. For a homogeneous beam, the neutral axis passes through its centroid.

How to Calculate Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress?

Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress calculator uses Maximum Compressive Stress in Crank Web = (Direct Compressive Stress in crankweb/2)+((sqrt((Direct Compressive Stress in crankweb^2)+(4*Shear Stress in Crankweb^2)))/2) to calculate the Maximum Compressive Stress in Crank Web, Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress is the maximum compressive stress induced into the crank web as a result of the direct compressive stress due to radial thrust on connecting rod, and bending stress due to the tangential and radial components of thrust force; And when the center crankshaft is designed for maximum torsional moment. Maximum Compressive Stress in Crank Web is denoted by σcmax symbol.

How to calculate Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress using this online calculator? To use this online calculator for Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress, enter Direct Compressive Stress in crankweb cd) & Shear Stress in Crankweb (T) and hit the calculate button. Here is how the Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress calculation can be explained with given input values -> 1.2E-5 = (4134615/2)+((sqrt((4134615^2)+(4*18954910.86^2)))/2).

FAQ

What is Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress?
Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress is the maximum compressive stress induced into the crank web as a result of the direct compressive stress due to radial thrust on connecting rod, and bending stress due to the tangential and radial components of thrust force; And when the center crankshaft is designed for maximum torsional moment and is represented as σcmax = (σcd/2)+((sqrt((σcd^2)+(4*T^2)))/2) or Maximum Compressive Stress in Crank Web = (Direct Compressive Stress in crankweb/2)+((sqrt((Direct Compressive Stress in crankweb^2)+(4*Shear Stress in Crankweb^2)))/2). Direct Compressive Stress in crankweb is the compressive stress in the crank web as a result of only the radial component of thrust force onto the connecting rod & crankpin & Shear Stress in Crankweb is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) in the crankweb.
How to calculate Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress?
Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress is the maximum compressive stress induced into the crank web as a result of the direct compressive stress due to radial thrust on connecting rod, and bending stress due to the tangential and radial components of thrust force; And when the center crankshaft is designed for maximum torsional moment is calculated using Maximum Compressive Stress in Crank Web = (Direct Compressive Stress in crankweb/2)+((sqrt((Direct Compressive Stress in crankweb^2)+(4*Shear Stress in Crankweb^2)))/2). To calculate Maximum compressive stress in crankweb of centre crankshaft for max torque given direct stress, you need Direct Compressive Stress in crankweb cd) & Shear Stress in Crankweb (T). With our tool, you need to enter the respective value for Direct Compressive Stress in crankweb & Shear Stress in Crankweb 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 Maximum Compressive Stress in Crank Web?
In this formula, Maximum Compressive Stress in Crank Web uses Direct Compressive Stress in crankweb & Shear Stress in Crankweb. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Maximum Compressive Stress in Crank Web = Direct Compressive Stress in crankweb+Bending Stress in Crankweb due to Radial Force+Bending Stress in Crankweb due to Tangential Force
  • Maximum Compressive Stress in Crank Web = (6*Bending Moment in Crankweb due to Radial Force)/(Thickness of Crank Web^2*Width of Crank Web)+(6*Bending Moment in Crankweb due to Tangential Force)/(Thickness of Crank Web*Width of Crank Web^2)+(Radial Force at Crank Pin/(2*Width of Crank Web*Thickness of Crank Web))
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