Memorial madeiras

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Peso da madeira (maçaranduba)
ɣ = 1.3 kN/m3
Pm = 1.3x9.8x10^-3x0.025
Pm = 0.32 kN/m²
Peso da telha
Pt = 20x9.8x10^-3 
Pt = 0.2 kN/m²
Peso das ferragens
Pf = 0.01 kN/m²
Cálculo do carregamento permanente (G)
G = Pm + Pf + Pt
G = 0.32 + 0.2 + 0.01
G = 0.53 kN/m²
Esforços devido ao carregamento permanente
F1G = (beiral + b1/2) x d x G
F1G = (0.14 + 1.397/2) x 0.53 x 4
F1G = 2.328 kN
F2G = (b1/2 + b2/2) x d x G
F2G = (1.397/2 + 1.056/2) x 0.53 x 4.4
F2G = 2.860 kN
F3G = (b2/2 + b3/2)x d x G
F3G = (1.056/2 + 1.053/2) x 0.53 x 4.4
F3G = 2.462 kN
F4G = (b3/2 + b4/2) x d x G
F4G = (1.056/2 1.084/2) x 0.53 x 4.4
F4G = 2.495 kN
F5G = (b4/2 + b5/2) x d x G
F5G = (1.084/2 + 1.408/2) x 0.53 x 4.4
F5G = 2.905 kN
F6G = b5 x d x G
F6G = 1.408 x 0.53 x 4
F6G = 2.984 kN
F7G = F5G
F7G = 2.905 kN
F8G = F4G
F8G = 2.495 kN
F9G = F3G
F9G = 2.462 kN 
F10G = F2G
F10G = 2.860 kN
F11G = F1G
F11G = 2.328 kN
Esforços devido ao carregamento acidental (A)
A = 0.25 kN - por norma
F1A = (beiral + b1/2) x d x A
F1A = (0.14 + 1.397/2) x 0.25 x 4
F1A = 1.096 kN
F2A = (b1/2 + b2/2) x d x A
F2A = (1.397/2 + 1.056/2) x 0.25 x 4.4
F2A = 1.542 kN
F3A = (b2/2 + b3/2)x d x A
F3A = (1.056/2 + 1.053/2) x 0.25 x 4.4
F3A = 1.161 kN
F4A = (b3/2 + b4/2) x d x A
F4A = (1.056/2 1.084/2) x 0.25 x 4.4
F4A = 1.179 kN
F5A = (b4/2 + b5/2) x d x A
F5A = (1.084/2 + 1.408/2) x 0.25 x 4.4
F5A = 1.368 kN
F6A = b5 x d x A
F6A = 1.408 x 0.25 x 4
F6A = 1.408 kN
F7A = F5A
F7A = 1.368 kN
F8A = F4A
F8A = 1.179 kN
F9A = F3A
F9A = 1.161 kN 
F10A = F2A
F10A = 1.542 kN
F11A = F1A
F11A = 1.096 kN
Esforços devido ao vento 0º (Vo)
Vo = 0.99/4
θ = 18º
F1Vo = (beiral + b1/2) x d x Vo
F1Vo = (0.14 + 1.397/2) x 4.4 x 0.99/4
F1Vo = 1.123 kN
F1x = F1Vo x senθ
F1x = 1.123 x 0.31
F1x = 0.348 kN
F1y = F1Vo x cosθ 
F1y = 1.123 x 0.95
F1y = 1.066 kN
F2Vo = (b1/2 + b2/2) x d x Vo
F2Vo = (1.397/2 + 1.056/2) x .4.4 x 0..99/4
F2Vo = 1.404 kN
F2x = F2Vo x senθ
F2x = 1.404 x 0.31
F2x = 0.435 kN
F2y = F2Vo x cosθ 
F2y = 1.404 x 0.95
F2y = 1.333 kN
F3Vo = (b2/2 + b3/2)x d x Vo
F3Vo = (1.056/2 + 1.053/2) x 4.4 x 0.99/4
F3Vo = 1.208 kN
F3x = F3Vo x senθ
F3x = 1.208 x 0.31
F3x = 0.374 kN
F3y = F3Vo x cosθ 
F3y = 1.208 x 0.95
F3y = 1.147 kN
F4Vo = (b3/2 + b4/2) x d x Vo
F4Vo = (1.056/2 1.084/2) x 0.99/4 x 4.4
F4Vo = 1.225 kN
F4x = F4Vo x senθ
F4x = 1.225 x 0.31
F4x = 0.379 kN
F4y = F4Vo x cosθ 
F4y = 1.225 x 0.95
F4y = 1.163 kN
F5Vo = (b4/2 + b5/2) x d x Vo
F5Vo = (1.084/2 + 1.408/2) x 0.99/4 x 4.4
F5Vo = 1.387 kN
F5x = F5Vo x senθ
F5x = 1.387 x 0.31
F5x = 0.429 kN
F5y = F5Vo x cosθ 
F5y = 1.387 x 0.95
F5y = 1.317 kN
F6Vo = b5 x d x Vo
F6Vo = 1.408 x 0.99/4 x 4
F6Vo = 1.393 kN
F6x = F6Vo x senθ
F6x = 1.393 x 0.31
F6x = 0.431 kN
F6y = F6Vo x cosθ 
F6y = 1.393 x 0.95
F6y = 1.323 kN
F7Vo = F5Vo
F7Vo = 1.387 kN
F7x = F5x
F7x = 0.429 kN
F7y = F5y
F7y = 1.317 kN
F8Vo = F4Vo
F8Vo = 1.225 kN
F8x = F4x
F8x = 0.379 kN
F8y = F4y
F8y = 1.163 kN
F9Vo = F3Vo
F9Vo = 1.208 kN 
F9x = F3x
F9x = 0.374 kN
F9y = F3y
F9y = 1.147 kN
F10Vo = F2Vo
F10Vo = 1.404 kN
F10x = F2x
F10x = 0.435 kN
F10y = F2y
F10y = 1.333 kN
F11Vo = F1Vo
F11Vo = 1.123 kN
F11x = F1x
F11x = 0.348 kN
F11y = F1y
F11y = 1.066 kN
Esforços devido ao vento 90º (V90)
V90 = 1.04/4
θ = 18º
F1V90 = (beiral + b1/2) x d x V90
F1V90 = (0.14 + 1.397/2) x 4.4 x 1.04/4
F1V90 = 1.180 kN
F1x = F1Vo x senθ
F1x = 1.123 x 0.31
F1x = 0.366 kN
F1y = F1Vo x cosθ 
F1y = 1.123 x 0.95
F1y = 1.121 kN
F2V90 = (b1/2 + b2/2) x d x Vo
F2V90 = (1.397/2 + 1.056/2) x .4.4 x 0..99/4
F2V90 = 1.475 kN
F2x = F2Vo x senθ
F2x = 1.404 x 0.31
F2x = 0.457 kN
F2y = F2Vo x cosθ 
F2y = 1.404 x 0.95
F2y = 1.401 kN
F3V90 = (b2/2 + b3/2)x d x Vo
F3V90 = (1.056/2 + 1.053/2) x 4.4 x 0.99/4
F3V90 = 1.269 kN
F3x = F3Vo x senθ
F3x = 1.208 x 0.31
F3x = 0.393 kN
F3y = F3Vo x cosθ 
F3y = 1.208 x 0.95
F3y = 1,154kN
F4V90 = (b3/2 + b4/2) x d x Vo
F4V90 = (1.056/2 1.084/2) x 0.99/4 x 4.4
F4V90 = 1.287 kN
F4x = F4Vo x senθ
F4x = 1.225 x 0.31
F4x = 0.398 kN
F4y = F4Vo x cosθ 
F4y = 1.225 x 0.95
F4y = 1.223 kN
F5V90 = (b4/2 + b5/2) x d x Vo
F5V90 = (1.084/2 + 1.408/2) x 0.99/4 x 4.4
F5V90 = 1.457 kN
F5x = F5Vo x senθ
F5x = 1.387 x 0.31
F5x = 0,452 kN
F5y = F5Vo x cosθ 
F5y = 1.387 x 0.95
F5y = 1.384 kN
F6V90 = b5 x d x Vo
F6V90 = 1.408 x 0.99/4 x 4
F6V90 = 1,464 kN
F6y = F6Vo x cosθ 
F6y = 1.393 x 0.95
F6y = 1.391 kN
F7V90 = F5Vo
F7V90 = 1.457 kN
F7x = F5x
F7x = 0,452 kN
F7y = F5y
F7y = 1.384 kN
F8V90 = F4Vo
F8V90 = 1.287 kN
F8x = F4x
F8x = 0.398 kN
F8y = F4y
F8y = 1.223 kN
F9V90= F3Vo
F9V90 = 1.269 kN 
F9x = F3x
F9x =0.393  kN
F9y = F3y
F9y = 1,154kN
F10V90 = F2Vo
F10V90 = 1.475 kN
F10x = F2x
F10x = 0.457 kN
F10y = F2y
F10y = 1.401 kN
F11V90 = F1Vo
F11V90 = 1.180kN
F11x = F1x
F11x =  0.366 kN
F11y = F1y
F11y = 1.121 kN