Young's modulus thiab nws lub ntsiab lus ntawm lub cev

Young's modulus thiab nws lub ntsiab lus ntawm lub cev
Young's modulus thiab nws lub ntsiab lus ntawm lub cev
Anonim

Lub modulus ntawm longitudinal elasticity ntawm cov khoom siv, los yog Young's modulus, yog lub cev muaj nuj nqis uas ua rau cov cuab yeej ntawm cov ntaub ntawv uas ua kom lawv tsis kam mus rau deformations ua nyob rau hauv longitudinal kev taw qhia.

Young's modulus
Young's modulus

Qhov ntsuas ntsuas qhov ntsuas qhov nruj ntawm cov khoom tshwj xeeb.

Lub npe ntawm lub module sib raug rau lub npe ntawm Thomas Young, tus kws kho mob Askiv nto moo thiab kws tshawb fawb uas tau kawm txog cov txheej txheem ntawm compression thiab nro rau cov khoom siv. Lub cev muaj nuj nqis no suav nrog tsab ntawv Latin E. Young's modulus yog ntsuas hauv Pascals.

Qhov kev ntsuas Young's modulus, lossis modulus ntawm longitudinal elasticity, yog siv rau hauv ntau qhov kev suav thaum kuaj cov ntaub ntawv rau qib deformation hauv nro-compression, nrog rau kev khoov.

Nws yuav tsum tau hais tias feem ntau ntawm cov khoom siv siv tau yog tus cwj pwm los ntawm Young's modulus Performance index ntawm cov txiaj ntsig loj txaus, uas, raws li txoj cai, yog qhov kev txiav txim ntawm 10 9 Pa. Yog li ntawd, rau qhov yooj yim ntawm kev suav thiab sau cia, ntau lub npe "giga" (GPa) yog siv.

Hauv qab no yog Young's modulus values rau qee tuscov khoom siv, uas feem ntau yog siv rau ntau lub hom phiaj. Lub durability ntawm lub tsev thiab lwm yam khoom nyob ntawm seb lawv lub zog zog.

Raws li cov lus saum toj no, qhov siab tshaj plaws modulus belongs rau hlau, thiab qhov tsawg kawg nkaus rau ntoo.

Tus nqi ntawm Young's modulus rau qee yam khoom siv

Aluminium

khoom npe

Indicator

E, [GPa]

Khoom npe

Indicator

E, [GPa]

chrome 300 brass 95
nickel 210 duralumin 74
steel 200 70
cam khwb cia hlau 120 iav 70
chrome 110 tin 35
grey cam khwb cia hlau 110 concrete 20
silicon 110 ua 18
bronze 100 10
lub ntsiab lus ntawm Young's modulus
lub ntsiab lus ntawm Young's modulus

Kev txiav txim siab duab ntawm Young's modulus yog ua tau nrog kev pab los ntawm daim duab qhia kev ntxhov siab tshwj xeeb, uas qhia txog qhov nkhaus tau los ntawm kev rov ua dua lub zog ntawm cov khoom qub.

Nyob rau hauv qhov no, lub ntsiab lus ntawm lub cev ntawm Young's modulus yog nrhiav cov lej piv txwv ntawm kev ntxhov siab ib txwm rau qhov sib xwsdeformation ntsuas nyob rau hauv ib feem ntawm daim duab mus rau ib tug tshwj xeeb muab txwv proportionality σ pc.

Hauv daim ntawv qhia lej, Young's modulus zoo li no: E=σ/ε=tgα

Nws kuj yuav tsum tau hais tias Young's modulus kuj yog qhov sib piv ntawm qhov kev piav qhia lej ntawm Hooke txoj cai, uas zoo li no: σ=Eε

txhais ntawm Young's modulus
txhais ntawm Young's modulus

Yog li ntawd, kev sib raug zoo ncaj qha ntawm cov qauv ntawm elasticity nrog cov yam ntxwv ntsuas ntawm cov ntu ntu ntawm cov khoom koom nrog hauv cov kev ntsuas nruj yog qhia siv cov ntsuas xws li EA thiab E1.

EA yog qhov ntsuas ntawm lub tensile-compressive rigidity ntawm cov khoom nyob rau hauv nws cross section, qhov twg A yog tus nqi ntawm lub cross-sectional cheeb tsam ntawm tus pas nrig.

E1 yog qhov flexural txhav ntawm cov khoom hauv nws ntu ntu, qhov twg 1 yog tus nqi ntawm lub sijhawm axial ntawm inertia uas tshwm sim hauv ntu ntu ntawm cov khoom raug kuaj.

Yog li, Young's modulus yog qhov ntsuas thoob ntiaj teb uas tso cai rau koj los ua tus yam ntxwv ntawm lub zog ntawm cov khoom siv los ntawm ntau sab.

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