STRUCTURAL SYNTHESIS USING STOCHASTIC PROGRAMMING
STRUCTURAL SYNTHESIS USING STOCHASTIC PROGRAMMING
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Date
1997-11
Authors
KHANNA, RACHNA
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Abstract
This paper reports the investigation on the reliability levels implicit
in the BS8110 requirements, probability-based optimum design and
sensitivity tests for singly reinforced continuous beams. These are
accomplished with the aid of the modern reliability analysis (First-Order
Reliability Integration Scheme- F0RM5, Gollwitzer, et al,1988) and a Nonlinear
Programming Algorithm. The design variables a r e the geometrical dimensions,
material strengths and loading with their respective probabilistic nature
considered. The limit state equations based on Ultimate and Serviceability
limit states are derived and the implied safety levels for the various states
computed. The results show that the criterion for bending is satisfactory with
safety levels falling within an economical range earlier proposed (Moses, et
al, 1990). However, the criterion for shear is inadequate yielding very low
safety levels, while deflection requirement is unduly conservative.
In the optimum design the objective function was taken to be the total
expected cost subjected to bending and shear constraints. Numerical values
for the design variables at optimum points a r e proposed and the influence of
the variabilities in concrete quality and live load on the objective function
and the design variables is noted. It is established that valid estimates of the
design parameters can be ensured if the relevant data is under control.
Description
A THESIS SUBMITTED TO THE POSTGRADUATE SCHOOL,
AHMADU BELLO UNIVERSITY ZARIA IN PARTIAL FULFILLMENT
OF THE REQUIREMENTS FOR THE AWARD OF THE MASTER OF
SCIENCE (M.Sc) DEGREE IN STRUCTURAL ENGINEERING
DEPARTMENT OF CIVIL ENGINEERING
AHMADU BELLO UNIVERSITY, ZARIA.
NOVEMBER, 1997
Keywords
STRUCTURAL,, SYNTHESIS,, STOCHASTIC,, PROGRAMMING