{"id":7942,"date":"2021-05-28T15:29:22","date_gmt":"2021-05-28T13:29:22","guid":{"rendered":"https:\/\/blog.federnshop.com\/modul-pruznosti-ve-vypoctu-pruziny\/"},"modified":"2021-05-28T15:29:22","modified_gmt":"2021-05-28T13:29:22","slug":"modul-pruznosti-ve-vypoctu-pruziny","status":"publish","type":"post","link":"https:\/\/blog.federnshop.com\/cs\/modul-pruznosti-ve-vypoctu-pruziny\/","title":{"rendered":"Modul pru\u017enosti ve v\u00fdpo\u010dtu pru\u017einy"},"content":{"rendered":"

The modul pru\u017enosti<\/strong> je materi\u00e1lov\u00fd parametr z materi\u00e1lov\u00e9ho in\u017een\u00fdrstv\u00ed a definuje sklon grafu v diagramu nap\u011bt\u00ed-deformace. Tato charakteristika popisuje vztah mezi nap\u011bt\u00ed<\/a> a kmen<\/a> p\u0159i deformaci pevn\u00e9ho t\u011blesa v line\u00e1rn\u011b-elastick\u00e9m chov\u00e1n\u00ed. Modul pru\u017enosti pat\u0159\u00ed mezi zkratky Modul pru\u017enosti<\/strong> nebo jako symbol vzorce E.<\/strong> v V\u00fdpo\u010det pru\u017einy<\/a> zn\u00e1m\u00fd; m\u00e1 jednotku \u201eN \/ mm\u00b2\u201c mechanick\u00e9ho nam\u00e1h\u00e1n\u00ed.<\/p>\n

\u010c\u00edm v\u011bt\u0161\u00ed odolnost m\u00e1 materi\u00e1l proti sv\u00e9 elastick\u00e9 deformaci, t\u00edm v\u011bt\u0161\u00ed je velikost Modul pru\u017enosti<\/a> . Slo\u017eka vyroben\u00e1 z materi\u00e1lu s vysok\u00fdm modulem pru\u017enosti (nap\u0159\u00edklad pru\u017einov\u00e1 ocel) je tak tu\u017e\u0161\u00ed ne\u017e sou\u010d\u00e1st stejn\u00e9 konstrukce (se stejn\u00fdmi geometrick\u00fdmi rozm\u011bry) vyroben\u00e1 z materi\u00e1lu s n\u00edzk\u00fdm modulem pru\u017enosti (nap\u0159\u00edklad guma). Modul pru\u017enosti je konstanta proporcionality v Hooke\u016fv z\u00e1kon<\/a> .<\/p>\n

\"Spannungs-Dehnungs-Diagramm\"
Spannungs-Dehnungs-Diagramm<\/figcaption><\/figure>\n

Rm = pevnost v tahu
\n\u03c3 = nap\u011bt\u00ed
\nAL = L\u00fcdersova expanze
\nAg = rovnom\u011brn\u00e9 prodlou\u017een\u00ed
\nA = prodlou\u017een\u00ed p\u0159i p\u0159etr\u017een\u00ed
\nAt = celkov\u00e9 prodlou\u017een\u00ed p\u0159i p\u0159etr\u017een\u00ed
\n\u0190 = prodlou\u017een\u00ed<\/p>\n

Definice modulu pru\u017enosti: Modul pru\u017enosti je sklon grafu v diagramu nap\u011bt\u00ed-deformace s jednoos\u00fdm zat\u00ed\u017een\u00edm v rozsahu line\u00e1rn\u00ed pru\u017enosti. Tato line\u00e1rn\u00ed oblast se tak\u00e9 naz\u00fdv\u00e1 Hooke je p\u0159\u00edmka<\/a> .<\/em><\/p>\n

Zde ur\u010deno<\/b><\/p>\n

\u03c3 = F \/ A (= s\u00edla \/ plocha) zem\u0159\u00edt mechanick\u00e9 nap\u011bt\u00ed<\/a> ( Norm\u00e1ln\u00ed stres<\/a> \u201eNe Smykov\u00e9 nap\u011bt\u00ed<\/a> ) a \u0190 = \u2206L \/ L0 expanze. Expanze je pom\u011br zm\u011bny d\u00e9lky \u2206L = L – L0 k p\u016fvodn\u00ed d\u00e9lce L0<\/p>\n

E – modul pru\u017enosti<\/a>
\n\u03c3 – nap\u011bt\u00ed<\/a>
\n\u03b5 – kmen<\/a><\/p>\n

Tady je modul pru\u017enosti<\/a> pro v\u00fdpo\u010det pru\u017einy p\u0159i pokojov\u00e9 teplot\u011b (20 \u00b0 C) pro nejd\u016fle\u017eit\u011bj\u0161\u00ed materi\u00e1ly pru\u017einy.<\/p>\n

Modul pru\u017enosti v\u0161ak nen\u00ed u v\u0161ech fyzik\u00e1ln\u00edch veli\u010din konstantn\u00ed. Tak\u017ee tak\u00e9 ovliv\u0148ujte r\u016fzn\u00e9 vlivy prost\u0159ed\u00ed, jako nap\u0159 teplota<\/a> nebo Vlhkost vzduchu<\/a> , modul pru\u017enosti. \u00daprava modulu pru\u017enosti se ur\u010duje p\u0159i vy\u0161\u0161\u00edch teplot\u00e1ch pomoc\u00ed n\u00e1sleduj\u00edc\u00edho vzorce, kde Parametry pru\u017einov\u00e9ho materi\u00e1lu<\/a> slou\u017eit jako z\u00e1klad p\u0159i pokojov\u00e9 teplot\u011b (20 \u00b0 C).<\/p>\n

\"E_{<wpml_curved<\/p>\n

Pro v\u00fdklad vhodn\u00e9ho Tla\u010dn\u00e9 pru\u017einy<\/a> , Ta\u017en\u00e9 pru\u017einy<\/a> nebo Zkrutn\u00e9 pru\u017einy<\/a> kontaktujte pros\u00edm na\u0161e technick\u00e9 odd\u011blen\u00ed p\u0159\u00edmo service@federnshop.com<\/a> .<\/p>\n

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Dodate\u010dn\u00e9 informace:<\/em><\/p>\n