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U-SHAPED CIRCUMFERENTIAL GROOVE ON A SHAFT

U-shaped circumferential groove on a shaft. Theoretical stress concentration factors (Kt) calculator for tension, bending and torsion loads. INPUT PARAMETERS Parameter Value Diameter of larger shaft section [D] mm cm m inch ft Diameter of smaller shaft section [d] Radius [r] Tension force [P] N kN lbf pissjapan tv免费视频pissjapan tv免费视频,小可爱直播appios怎么下载小可爱直播appios怎么下载,总裁的私有宝贝祸水泱泱免费阅读总裁的私有宝贝祸水泱泱免费阅读 Bending moment [M] N*m lbf*in lbf*ft Torque [T]

Note:Use dot "." as decimal separator.

 RESULTS LOADING TYPE - TENSION Parameter Value Stress concentration factor [Kt] * --- --- Nominal tension stress at shaft [σnom ] o --- MPa psi ksi Maximum tension stress due to tension load (at Point-A) [σmax ] --- LOADING TYPE - BENDING Parameter Value Stress concentration factor [Kt] * --- --- Nominal tension stress at shaft [σnom ] + --- MPa psi ksi Maximum tension stress due to bending (at Point-A) [σmax ] --- LOADING TYPE - TORSION Parameter Value Stress concentration factor [Kt] ** --- --- Nominal shear stress at shaft [τnom ] x --- MPa psi ksi Maximum shear stress due to torsion (at Point-A) [τmax ] ---

Note 1: Maximum stress is occurred at point A.

Note 2: * Geometry rises σnom by a factor of Kt .  (Kt = σnommax)

Note 3: ** Geometry rises τnom by a factor of Kt . (Kt = τnommax)

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Note 5: + σnom = 32M/(πd3) (Nominal tension stress occurred due to bending)

Note 6: x   τnom = 16T/(πd3) (Nominal shear stress occurred due to torsion)

### Definitions:

Stress Concentration Factor: Dimensional changes and discontinuities of a member in a loaded structure causes variations of stress and high stresses concentrate near these dimensional changes. This situation of high stresses near dimensional changes and discontinuities of a member (holes, sharp corners, cracks etc.) is called stress concentration. The ratio of peak stress near stress riser to average stress over the member is called stress concentration factor.

Kt: Theoretical stress concentration factor in elastic range = (σmaxnom)

### Formulas:

pissjapan tv免费视频pissjapan tv免费视频,小可爱直播appios怎么下载小可爱直播appios怎么下载,总裁的私有宝贝祸水泱泱免费阅读总裁的私有宝贝祸水泱泱免费阅读 Tension 0.1 ≤ h/r ≤ 2.0 2.0 ≤ h/r ≤ 50.0 C1 $$0.89+2.208\sqrt { h/r } -0.094h/r$$ $$1.037+1.967\sqrt { h/r } +0.002h/r$$ C2 $$-0.923-6.678\sqrt { h/r } +1.638h/r$$ $$-2.679-2.980\sqrt { h/r } -0.053h/r$$ C3 $$2.893+6.448\sqrt { h/r } -2.516h/r$$ $$3.090+2.124\sqrt { h/r } +0.165h/r$$ C4 $$-1.912-1.944\sqrt { h/r } +0.963h/r$$ $$-0.424-1.153\sqrt { h/r } -0.106h/r$$ Kt=C1+C2(2h/D)+C3(2h/D)2+C4(2h/D)3 σnom=4P/πd2 σmax=σA=Ktσnom Bending 0.25 ≤ h/r ≤ 2.0 2.0 ≤ h/r ≤ 50.0 C1 $$0.594+2.958\sqrt { h/r } -0.520h/r$$ $$0.965+1.926\sqrt { h/r }$$ C2 $$0.422-10.545\sqrt { h/r } +2.692h/r$$ $$-2.773-4.414\sqrt { h/r } -0.017h/r$$ C3 $$0.501+14.375\sqrt { h/r } -4.486h/r$$ $$4.785+4.681\sqrt { h/r } +0.096h/r$$ C4 $$-0.613-6.573\sqrt { h/r } +2.177h/r$$ $$-1.995-2.241\sqrt { h/r } -0.074h/r$$ Kt=C1+C2(2h/D)+C3(2h/D)2+C4(2h/D)3 σnom=32M/πd3 σmax=σA=Ktσnom Torsion 0.25 ≤ h/r ≤ 2.0 2.0 ≤ h/r ≤ 50.0 C1 $$0.966+1.056\sqrt { h/r } -0.022h/r$$ $$1.089+0.924\sqrt { h/r } +0.018h/r$$ C2 $$-0.192 - 4.037\sqrt { h/r } +0.674h/r$$ $$-1.504 - 2.141\sqrt { h/r } -0.047h/r$$ C3 $$0.808 +5.321\sqrt { h/r } -1.231h/r$$ $$2.486 +2.289\sqrt { h/r } +0.091h/r$$ C4 $$-0.567-2.364\sqrt { h/r } +0.566h/r$$ $$-1.056 -1.104\sqrt { h/r } -0.059h/r$$ Kt=C1+C2(2h/D)+C3(2h/D)2+C4(2h/D)3 τnom=16T/πd3 τmax=τA=Ktτnom

### Reference:

• Pilkey, W. D..(2005). Formulas for Stress, Strain, and Structural Matrices Formulas for Stress, Strain, and Structural Matrices .2nd Edition John Wiley & Sons