Introduction to Aircraft Structural Analysis (Elsevier Aerospace Engineering)

5.3Application to Deflection Problems 117

Fig.5.4

(a) Actual loading of framework; (b) determination of vertical deflection of B; (c) determination of horizontal
deflection of D.

Table 5.1

① ② ③ ④ ⑤ ⑥ ⑦ ⑧× 106 ⑨× 106

Member L(mm) F(N) FB,f(N) ∂FB,f/∂PB,f FD,f(N) ∂FD,f/∂PD,f FL∂FB,f/∂PB,f FL∂FD,f/∂PD,f

AE 4000

√

2 − 60000

√

2 − 2

√

2 PB,f/ 3 − 2

√

2 /3 0 0 320

√

20

EF 4000 − 60000 − 2 PB,f/ 3 − 2 /3 0 0 160 0

FD 4000

√

2 − 80000

√

2 −

√

2 PB,f/ 3 −

√

2 /3 0 0 640

√

2 / 30

DC 4000 80000 PB,f/ 31 / 3 PD,f 1 320 / 3 320

CB 4000 80000 PB,f/ 31 / 3 PD,f 1 320 / 3 320

BA 4000 60000 2 PB,f/ 32 / 3 PD,f 1 480 / 3 240

EB 4000 20000 2 PB,f/ 32 /3 0 0 160 / 30

FB 4000 √ 2 − 20000 √ 2 √ 2 PB,f/ 3 √ 2 /30 0− 160 √ 2 / 30

FC 4000 100000 0 0 0 0 0 0

∑= 1268 ∑= 880