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Lajes Vigadas - Universidade Fernando Pessoa

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Desenvolvendo:<br />

LAJES VIGADAS<br />

4 4<br />

x× qx× Lx = y× qy× Ly<br />

η η<br />

<br />

4 4<br />

x × ⋅ q× Lx = y× (1 − ) ⋅ q× Ly<br />

η α η α<br />

<br />

4 4<br />

x× × Lx = y× (1 − ) × Ly<br />

η α η α<br />

<br />

4 4 4<br />

x × × Lx = y× Ly − × y× Ly<br />

η α η α η<br />

<br />

4 4 4<br />

x × × Lx + × y× Ly = y× Ly<br />

η α α η η<br />

<br />

( )<br />

4 4 4<br />

x× Lx + y× Ly = y× Ly<br />

αη η η<br />

<br />

4<br />

η y× Ly<br />

4 4<br />

x× Lx + y× Ly<br />

α =<br />

η η<br />

∵<br />

qx= α ⋅q ⇒<br />

⇓<br />

qx<br />

α =<br />

q<br />

4<br />

η y× Ly<br />

x× 4<br />

x + y× 4<br />

y<br />

qx<br />

=<br />

q η L η L<br />

<br />

4<br />

η y× Ly<br />

4 4<br />

x× Lx + y× Ly<br />

qx<br />

= q<br />

η η<br />

q= q + q<br />

↓<br />

⇒ q = q−q Nota : Os valores são apresentados em tabela.<br />

x y y x<br />

101

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