Esercizi svolti per preparazione esame scritto - metodo 4 momenti e studio sezioni parte 2

19 dic 2017

CN Ve+c≥3m

4>3

1 volta IBER

Sconnetto a Rotazione

CN: Ve+c≥3m

83 ⇒ 1 volta 1FER

F=1/5 qL

Scorretto a Rotazione

eq. congruenza

• p_BA = p_BC
• p_CB = p_CD
• EQ NODI
• EQ PIANO

CN: Ve+c≥3m

l₂+c₂≥3m

Y inverso le incognite 1FER

• x, y, z, δ

EA NODO

-x-y+9L²/2=0

-x-y=-9L²/2

eq PIANO

T_BA - T_CO + qL = -¹/₅ qL = 0

A:

^x/_L - T_BA L = 0

= -T_BA L = -^x/_L

T_BA = ^x/_L

D:

^z/_L - T_CO L = 0

= -T_CO L = ^z/_L

T_CO = ^z/_L

^x/_L - ^z/_L = -qL + ¹/₅ qL

A: x - z = -⁴/₅ qL ⇒ x - z = -⁴/₅ qL²

{^x/_6e5 [(2x)] + δ

= ^L/_6e5 [(2y + 2)]

L _6e5 [(22 - y)] = ^L/_6e5 [(27)]

-x - y = -^q/₂ qL²

x - z = -⁴/₅ qL²

{

2x + A = 2y + 2

-28 - y = 27 - A

-x - y = -¹/₂ qL²

x - z = -⁴/₅ qL²

{

2x - 2y - 2 + A = 0

-4z - y + A = 0

-x - y = -¹/₂ qL²

x - z = -⁴/₅ qL²

{

x = ¹⁹/₆₀ qL²

y = ⁴⁹/₆₀ qL²

z = ²⁷/₆₀ qL²

A = ¹¹/₆₀ qL²

F = ¹/₅qL = ¹²/₆₀ qL

19

29

49

20

STORZO NORMALE

-49

+29

TRATTO

HT                                       T                            N

• AB          -19/60_q²            -19/60_qL                       20/60_qL
• BA            19/60_q²                  -19/60_qL                20/60_qL
• BC          -19/60_q²          20/60_qL          -41/60_qL
• CB          -29/60_q²          20/60_qL          -41/60_qL
• CD            -29/60_q²             29/60_qL          20/60_qL
• DC                                    29/60_qL          20/60_qL
• DE                  39/60_q²            -69/60_qL
• EB

M_max = -49/60 _{(10 kN/m)} (5 m)² = -20,416 kN·m