Funkcje ugięcia belek zginanych wyrażone przez funkcje kształtu
j�i
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x k
x
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x� =�
l
j�k
z w
w
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w
k
w(x� ) =� wir�1(x� ) +� lj�iw�1(x� ) +� wkr�1(1-�x� ) -� lj�kw�1(1-�x� )
w(x� ) =� wir�2(x� ) +� lj�iw�2(x� ) +� wkr�3(1-�x� ) w(x� ) =� wir�3(x� ) +� wkr�2(1-�x� ) -� lj�kw�2(1-�x� )
w(x� ) =� wi +� lj�iw�3(x� ) +� lj�kw�4(x� ) w(x� ) =� wk -� lj�iw�4(1-�x� ) -� lj�kw�3(1-� x� )
w(x� ) =� wi +�j�ilx� w(x� ) =� wk -�j�kl(1-�x� )
2 3 2 3
r�1(x� ) =� 1-� 3x� +� 2x� w�1(x� ) =� x� -� 2x� +� x�
3 1 3 1 3 1
2 3 3 2 3
r�2(x� ) =�1-� x� +� x� r�3(x� ) =�1-� x� +� x� w�2(x� ) =� x� -� x� +� x�
2 2 2 2 2 2
1 1
2 2
w�3(x� ) =� x� -� x� w�4(x� ) =� x�
2 2