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AIHE I SUBJECT
LAATIJA |
TYÖNRO I PROJECT NO
'2/201?
-T -T
+T+T
QUIZ -- EFFECT OF THERMAL ACTIONS
DRAW SUPPORT REACTIONS (R), BENDING MOMENT (M), NORMAL FORCE (N)
AND DEFLECTION CURVES (v) FOR THE BEAMS BELOW
TASK:
TOP AND BOTTOM
SURFACE IS HEATED
BOTTOM
SURFACE
COOLS DOWN
TOP SURFACE IS HEATED
FIXED
SUPPORT
PINNED,
SLIDING
PINNED
NORMAL
FORCE
CURVE
BENDING
MOMENT
CURVE
DEFLECTION CURVE
SUPPORT
REACTIONS
Tietovisa: Lämpötilakuormien
tarkastelu
• Palkki L=10m b*h=100mm*100mm.
E=210Gpa, l-tilakerroin 0,000012/C
• Eri tukiehdot: Jäykkä, Nivel, Rullatuki, Vapaa
• Lineaarielastinen laskentamalli
• Palkit 1-2: Ylä- ja alapinta lämpenee +500
astetta
• Palkit 3-4: Yläpinta lämpenee +5 C ja
alapinta kylmenee -5 C
• Palkit 5-7: Yläpinta lämpenee +50 C ja
alapinta kylmenee -50 C
1
2
3
4
5
6
7
Jäykkä-Rullatuki
Ylä ja alapinta lämpenee
+T
+T
Jäykkä-Rullatuki
Ylä ja alapinta lämpenee
+T
+T
Jäykkä - Jäykkä
Ylä ja alapinta lämpenee
+T
+T
Jäykkä - Jäykkä
Ylä ja alapinta lämpenee
+T
+T
Jäykkä - Vapaa
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
Jäykkä - Vapaa
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
Nivel – Rullatuki/Nivel
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
Nivel – Rullatuki
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
Jäykkä – Rullatuki
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
Jäykkä – Rullatuki
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
Jäykkä – Jäykkä
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
Jäykkä – Jäykkä
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
Bonus: Nivel – Rullatuki - Rullatuki
Yläpinta lämpenee ja alapinta kylmenee
+T
-T
+T
-T
Bonus: Nivel – Rullatuki - Rullatuki
Yläpinta lämpenee ja alapinta kylmenee
Päätelmiä
Fundamental principles of structural behaviour under thermal effects, Fire Safety Journal 36 (2001) 721–744
http://civil.iisc.ernet.in/~manohar/Fire/Part-25_Fundamental%20Behaviour.pdf
• Lämpötilan muutos aiheuttaa muodonmuutoksen -> ε=α*dT
• Jos muodonmuutos pääsee tapahtumaan vapaasti, niin
lämpötilasta aiheutunut muodonmuutos aiheuttaa vain
siirtymiä Δ= ε*L0
• Jos muodonmuutos on estetty, niin rakenteeseen syntyy
jännityksiä σ=ε*E jotka aiheutuvat vapaata muodonmuutosta
estävistä tukireaktiosta (=vrt. hyperstaattinen momentti)

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Thermal actions quiz