Structural Theory: Double Integration Method - Part 1

[@JomarArab]

Sa mga manonood pa i suggest na mag cut nalang then moment dun sa may cut para automatic nang 0 ang c1 at c2
Ex: equation
Y”= (Av(x)-M-10(x)(x/2))/EI yung M sa equation is moment from the cantilever yung Av is vertical reaction ng fixed support. then 1st integrate
Y’ = 1/EI (Av(x^2)/2 - Mx - 10(x^3)/6 + C1) slope equation
Y = 1/EI (Av(x^3)/6 - M(x^2)/2 - 10(x^4)/24 + C1x + C2) Delfection equation
Since Dun ka mag uumpisa sa fixed support 0 ang X so magiging 0 ang C2 since isa lang ang support 0 nadin ang C1 then substitute nalang yung location dun kay X sana naka tulong

[@perfectopadillajr3452]

Yes.
When leftmost support is fixed, C1 and C2 are Zero.
-engr padilla

[@raffygomez8647]

Thank you so much sir for a very good presentation

[@jemallauigan1813]

Thanks for the vid sir. Keep on making

[@misszooooh]

Tysm engr💖 keep it up!

[@gerardlopez4497]

ask lang po, ano po yung difference sa dalawa sa conjugate beam method at double integration, at pano po gagamiton when it comes in deflection po

[@leeannelavilla7000]

clarify lang po, same lang ba naman po pag 10^-6 at e divide yung EI sa 346.66

[@markjhunmantilla8972]

thank you sir

[@PadillaReviewCenterOnlineTV]

Most welcome

[@jinjin1156]

Lahat po ba sir ng problem involving delection and slope kaya masolve ng double intgration method?

[@PadillaReviewCenterOnlineTV]

Yes pero mas complicated pag non prismatic na ang beam

[@alnashierrubio7223]

Good day sir, pwede po isang sample na 1fix end, tapos continous beam then two support, bale dalawang deflection po.
Pwede po ba ma solve using this method?

[@PadillaReviewCenterOnlineTV]

Puede kahit ilang span

[@zaifarmanalas1854]

😮😮😮😮

[@ShantheaCabana]

ano po yung calculator na ginamit niyo po?

[@PadillaReviewCenterOnlineTV]

Canon f789sga

[@levipalais3878]

Paano po naging 10 to the 6 sa may equation 1

[@giyutomioka3279]

Given po sa problem EI=10^6

[@cristianortecioesteban]

EI = 10^6 KN.m²

[@JunrickBacalla]

Good day po Sir how to use this formula
Therefore,
δmax=PL348EI

[@PadillaReviewCenterOnlineTV]

That's the max deflection of a simply supported beam whose span is L and with a concentrated load P at the center

[@PadillaReviewCenterOnlineTV]

But it's PL^3 / (48EI)