Summary
Samenvatting Volledig uitgewerkte antwoordenbundel van Structuur
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Volledig uitgewerkte antwoorden-bundel van het vak 'Structuur en Morfologie', KU Leuven, Sint-Lucas Gent. Behaalde examenresultaat : 13/20
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OEFENING 1.1gegeven : op een knooppunt van een vakwerk
werken drie krachten. Er is evenwicht.
gevraagd : bereken de krachten N1 en N2. Zijn dit
trek- of drukkrachten?
oplossing :
—> N2 = 4kN = N1
sin 75° sin 25° sin 80°
N1 = 9,32 kN
N2 = 9,14 kN : allebei drukkrachten
<—> N1 = -9,32 kN
N2 = -9,14 kN
OEFENING 1.2
gegeven :
situatie : zie figuur
de balk is gewichtloos
de persoon weegt 100 kg ; 1kN
gevraagd :
1) zet de structuur om in een model
2) bereken de reactiekrachten
oplossing :
model :
Berekening :
situatie in evenwicht : ∑Fy = 0 = FA + FB - 1 kN = 0
—> FA + FB = 1 kN
∑M = 0 —> MA = 1 kN . 4m - FB . 6m = 0
FB = 4kN/m = 2/3 kN
6m
∑Fy = 0 = -1 kN + (2/3)kN + FA = 0
FA = 1/3 kN
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