Proceedings of the Royal Society of Queensland . otherwiseto be allowed for. * The deflection of a column with fixed ends does not depend onthe eccentricity of loading. Extra strain is brought on the fixed ends,but nob on the column itself. (Extract from Prof. Chapmans corres-pondence with the author). 106 THE STRUT PROBLEM. APPENDIX. Applying (18) to (11) f ey p 71 l-\ sec \/ r2 q 2 (a) ey or writing — = <p f p n I+99 sec \/ q 2 (b) This does not allow of p being deduced in terms of f p n unless an algebraical expression for sec yj may be q 2 found : many attempts have been made at this, a
Proceedings of the Royal Society of Queensland . otherwiseto be allowed for. * The deflection of a column with fixed ends does not depend onthe eccentricity of loading. Extra strain is brought on the fixed ends,but nob on the column itself. (Extract from Prof. Chapmans corres-pondence with the author). 106 THE STRUT PROBLEM. APPENDIX. Applying (18) to (11) f ey p 71 l-\ sec \/ r2 q 2 (a) ey or writing — = <p f p n I+99 sec \/ q 2 (b) This does not allow of p being deduced in terms of f p n unless an algebraical expression for sec yj may be q 2 found : many attempts have been made at this, and theauthor has put forward the expression* *Interesting and probably very useful deductions may be madefrom this. It will be seen that if a be the induced deflection, applyingthe suggested approximation to (18) q then a=l-25 e. (i) l»1 q so that the deflection of a column may be computedmentally. The assumption of original bending of an amount e (followed byFidler, Hutt, Andrews and others) gives :— P q (ii P1 q that is 20% less than (i). 4 S D 6 7 8 9 10
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