Page 368 - Aircraft Stuctures for Engineering Student

Problems 349

Fig. P.9.8

P.9.9 A beam has the singly symmetrical, thin-walled cross-section shown in Fig.
P.9.9. The thickness t of the walls is constant throughout. Show that the distance of
the shear centre from the web is given by

& = -d p2 sin (Y cos (Y
1 + 6p + 2p3 sin2 (Y
where
p = d/h

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I
I

Fig. P.9.9

P.9.10 A beam has the singly symmetrical, thin-walled cross-section shown in
Fig. P.9.10. Each wall of the section is flat and has the same length a and thickness
t. Calculate the distance of the shear centre from the point 3.
Ans. 5a cos a/8.