Page 130 - Aircraft Stuctures for Engineering Student

114 Energy methods of structural analysis

Fig. P.4.10

P.4.11 A bracket BAC is composed of a circular tube AB, whose second moment
of area is 1.51, and a beam AC, whose second moment of area is I and which has
negligible resistance to torsion. The two members are rigidly connected together at
A and built into a rigid abutment at B and C as shown in Fig. P.4.11. A load P is
applied at A in a direction normal to the plane of the figure.
Determine the fraction of the load which is supported at C. Both members are of
the same material for which G = 0.38E.
Ans. 0.72P.

A

Fig. P.4.11

P.4.12 In the plane pin-jointed framework shown in Fig. P.4.12, bars 25, 35, 15
and 45 are linearly elastic with modulus of elasticity E. The remaining three bars