CALCULO FLECHA

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Calculo laje treliçada LAJE PADRÃO L105
Dados
≔q' 4.35 ――
kN
m²
Dimensões da nervura
≔l 385 cm ≔bw 9 cm ≔fck 30
≔L 3.85 m ≔h 12 cm
≔Eixo 0.42 cm ≔d 10.5 cm
≔q =⋅q' Eixo 1.827
Calculo da cortante
≔Vk =――
⋅q L
2
3.517
Calculo do momento
≔Mk =――
⋅q L2
8
3.385 kN.m
≔Kc =―――――
⋅bw d2
⋅⋅1.4 Mk 100
2.094 ≔Ks 0.028 ≔βx 0.4
Profundidade da linha neutra
≔x =⋅d βx 4.2
Calculo da armadura
≔As =⋅Ks ―――――
⋅⋅1.4 Mk 100
d
1.264 cm²
≔Ec =⋅⋅0.85 560 ‾‾30 2607.159 ≔Es 2100
≔P =⋅0.0435 0.42 0.018
≔I =―――
⋅bw h3
12
⋅1.296 103 ≔αe =――
Es
Ec
0.805
≔f =――――
⋅⋅5 P l4
⋅⋅384 Ec I
1.547 =⋅2 f 3.094 =――
l
250
1.54
≔α 1.5
≔fct =⋅0.21 fck
―
2
3 2.028
≔x' =――――――――
+―――
⋅bw h2
12
⋅⋅
⎛
⎜
⎝
−――
Es
Ec
1
⎞
⎟
⎠
As d
+⋅bw h ⋅
⎛
⎜
⎝
−――
Es
Ec
1
⎞
⎟
⎠
As
0.978
Created with PTC Mathcad Express. See www.mathcad.com for more information.
≔f =――――
⋅⋅5 P l4
⋅⋅384 Ec I
1.547 =――
l
250
1.54
≔x' =――――――――
+―――
⋅bw h2
12
⋅⋅
⎛
⎜
⎝
−――
Es
Ec
1
⎞
⎟
⎠
As d
+⋅bw h ⋅
⎛
⎜
⎝
−――
Es
Ec
1
⎞
⎟
⎠
As
0.978
≔α 1.5
≔fct =⋅0.21 fck
―
2
3 2.028
≔yt =−h x 7.8
≔Mr =―――
⋅⋅α fct I
yt
505.322
=x 4.2
≔Mk' =⋅Mk 100 338.509
≔x'' 1.897
≔Iii =++―――
⋅bw x''3
12
⋅⋅bw x''
⎛
⎜
⎝
―
x''
2
⎞
⎟
⎠
2
⋅⋅αe As (( −d x''))
2
95.818
=I 1296
≔Q =⋅Ec
⎛
⎜
⎝
+⋅
⎛
⎜
⎝
――
Mr
Mk'
⎞
⎟
⎠
3
I ⋅
⎛
⎜
⎝
−1
⎛
⎜
⎝
――
Mr
Mk'
⎞
⎟
⎠
3 ⎞
⎟
⎠
Iii
⎞
⎟
⎠
10658833.954 ≔Q'' =⋅Ec I 3378878.548
≔f =――――
⋅⋅5 P l4
⋅⋅384 Ec I
1.547 =⋅2 f 3.094 =――
l
250
1.54
=