Calculul grinzilor

50 490 50 490 50 490 50 400 50

540 540 540 450

2070

A B C D E

Adoptam b_gr=30 cm;

l_om1=l_gr.1-=540-50=490 cm

l_c=l_gr.2-=540-50=490 cm

l_om2=l_gr.4-=450-50=400 cm

Calculul incarcarilor :

q=1507.8*5.4=8142.12 daN/m²

4.9 4.9 4.9 4.0

M₁=*q*l²_om1= daNm

M₄=*q*l²_om2=*8142.12*4.0²=11843.08 daNm

M_B==M_D=-*q*l²_om1=-*8142.12*4.9²=-17772.02 daNm

M₂=M₃=*q*l²_oc=*8142.12*4.9²=12218.26 daNm

M_C=-*q*l²_oc=-*8142.12*4.9²=-12218.26 daNm

Q_A=0.45*q*l_om=0.45*8142.12*4.9=17953.37 daN

Q^dr_B=Q^dr_C=Q^dr_D=065*q*l_oc=0.65*8142.12*4.9=25932.65 daN

Q^st_B=Q^st_C=Q^st_D=-065*q*l_oc =-0.65*8142.12*4.9=-25932.65 daN

Q_D=0.55*q*l_om=0.55*8142.12*4.0=17912.66 daN

Stabilirea inaltimii necesare a grinzii (h_{o nec})

Se impune  p=1%

m

x m

B=x x

r=

h_{o nec}=r*1.9234*49.34 cm

h_nec=h_{o nec}+a_b+=49.34+2+0.8=52.14 cm

respectind conditia 2 se adopta h=60 cm

Dimensionarea armaturii

b_p

h_gr

Db b_gr Db

l₁=0.8*l_om1=0.8*4.9=3.92 cm

l₂=0.6*l_oc=0.6*4.9=2.94 cm

l₃=0.8*l_om2=0.8*4=3.2 cm

Db=*l₁==0.653=65 cm

Db=max(65;78)=78 cm

Db 6*h_pl=6*13=78 cm

b_p=b_gr+2*78=186 cm

b_p=min(186;490)=186 cm

b_p===490 cm

Dimensionarea cimpului 1

b_p

x

h_gr

A_a

b_gr

h_o=h-a_b-=60-2-0.8=57.2 cm

M_cap=b*h_pl*R_c*(h₀-0.5*h_pl)=186*13*90*(57.2-0.5*13)=11033334 daNm

M₁<M_cap x<h_pl

B=0.0324481

x=1-=0.032992348

A_{a c1}=x*b_p*h_o*=0.032992348*186*57.2*=10.89 cm²

F? cu A_ef=???

Dimensionarea reazemului B si D

b_p

h_gr

x

b_gr

B=0.201178224

x=1-=0.226925908

A_{a c1}=x*b_gr*h_o*=0.226925908*30*57.2*=12.08 cm²

F? cu A_ef=???

Dimensionarea cimpului 2 si 3

b_p

x

h_gr

A_a

b_gr

Db=*l₁==0.49=49 cm

Db=max(49;78)=78 cm

Db 6*h_pl=6*13=78 cm

b_p=b_gr+2*78=186 cm

b_p=min(186;490)=186 cm

b_p===490 cm

B=0.022308062

x=1-=0.022562597

A_{a c1}=x*b_p*h_o*=0.022562597*186*57.2*=7.45 cm²

F? cu A_ef=???

Dimensionarea reazemului A si E

b_p

h_gr

x

b_gr

M_A=0.6*M_max=0.6*1777202 =1066321.2 daNcm

B=0.120706934

x=1-=0.129031498

A_{a c1}=x*b_gr*h_o*=0.129031498*30*57.2*=6.87 cm²

F? cu A_ef=???

Dimensionarea cimpului 4

b_p

x

h_gr

A_a

b_gr

Db=*l₃==0.53=53 cm

Db=max(53;78)=78 cm

Db 6*h_pl=6*13=78 cm

b_p=b_gr+2*78=186 cm

b_p=min(186;445)=186 cm

b_p===445 cm

B=0.021623059

x=1-=0.021862034

A_{a c1}=x*b_p*h_o*=0.021862034*186*57.2*=7.21 cm²

F? cu A_ef=???

Dimensionarea reazemului C

b_p

h_gr

x

b_gr

B=0.138309987

x=1-=0.149482495

A_{a c1}=x*b_gr*h_o*=0.149482495*30*57.2*=7.96 cm²

F? cu A_ef=???