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)
σcm = σc/2+((sqrt(σc^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: 4.13 Newton per Square Millimeter --> 4130000 Pascal (Check conversion ​here)
Shear Stress in Crankweb: 18.95 Newton per Square Millimeter --> 18950000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σcm = σc/2+((sqrt(σc^2+4*T^2))/2) --> 4130000/2+((sqrt(4130000^2+4*18950000^2))/2)
Evaluating ... ...
σcm = 21127180.4891256
STEP 3: Convert Result to Output's Unit
21127180.4891256 Pascal -->21.1271804891256 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
21.1271804891256 21.12718 Newton per Square Millimeter <-- Maximum Compressive Stress in Crank Web
(Calculation completed in 00.004 seconds)

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Design of Crank Web at Angle of Maximum Torque Calculators

Bending moment in crankweb of centre crankshaft due to radial thrust for maximum torque
​ LaTeX ​ 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)
Bending moment in crankweb of centre crankshaft due to tangential thrust for maximum torque
​ LaTeX ​ 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)
Bending moment in crankweb of centre crankshaft due to tangential thrust for max torque given stress
​ LaTeX ​ 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 moment in crankweb of centre crankshaft due to radial thrust for max torque given stress
​ LaTeX ​ 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

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

​LaTeX ​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)
σcm = σc/2+((sqrt(σc^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 σcm 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 c) & 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 -> 2.1E-5 = 4130000/2+((sqrt(4130000^2+4*18950000^2))/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 σcm = σc/2+((sqrt(σc^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 c) & 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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