Page 552 - Aircraft Stuctures for Engineering Student

Problems 533

1 Argyris, J. H. and Kelsey, S., Energy Theorems and Structural Analysis, Butterworth
Scientific Publications, London, 1960.
2 Clough, R. W., Turner, M. J., Martin, H. C. and Topp, L. J., Stiffness and deflection
analysis of complex structures. J. Aero. Sciences, 23(9), 1956.
3 Megson, T. H. G., Structural and Stress Analysis, Arnold, London, 1996.
4 Martin, H. C., Introduction to Matrix Methods of Structural Analysis, McGraw-Hill Book
Company, New York, 1966.
5 Jenkins, W. M., Matrix and Digital Computer Methods in Structural Analysis, McGraw-Hill
Publishing Co. Ltd., London, 1969.
6 Zienkiewicz, 0. C. and Cheung, Y. K., The Finite Element Method in Structural and
Continuum Mechanics, McGraw-Hill Publishing Co. Ltd., London, 1967.

Zienkiewicz, 0. C. and Holister, G. S., Stress Analysis, John Wiley and Sons Ltd., London, 1965.

P.12.1 Figure P. 12.1 shows a square symmetrical pin-jointed truss 1234, pinned
to rigid supports at 2 and 4 and loaded with a vertical load at 1. The axial rigidity
EA is the same for all members.
Use the stiffness method to find the displacements at nodes 1 and 3 and hence solve
for all the internal member forces and support reactions.

!P
Fig. P.12.1