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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 18
DEVELOPMENTS IN STRUCTURAL ENGINEERING COMPUTING Edited by: B.H.V. Topping
Paper III.3
Numerical and Analytical Investigation of Shear in Reinforced Concrete Beams Subjected to Dynamic Loads M.A. Iyengunmwena* and K.S. Virdi+
*Department of Civil Engineering, University of Leeds, Leeds, England
M.A. Iyengunmwena, K.S. Virdi, "Numerical and Analytical Investigation of Shear in Reinforced Concrete Beams Subjected to Dynamic Loads", in B.H.V. Topping, (Editor), "Developments in Structural Engineering Computing", Civil-Comp Press, Edinburgh, UK, pp 123-133, 1993. doi:10.4203/ccp.18.3.3
Abstract
A parametric study is presented to determine the end reactions in a reinforced concrete beam under dynamic loading
conditions, arising out of impact or blast. The main variables in the study are the material properties of the beam, the beam geometry,
and peak value, duration, distribution and time of rise of loads. The dynamic loads are approximated by a rectangular (pure) pulse or
triangular load-time function with peak pressure at zero time and decreasing linearly to zero. The parametric study is executed using
the equivalent single degree of freedom method of analysis, which assumes perfectly elastic-plastic material properties for reinforced
concrete. In order to assess the validity and demonstrate the effectiveness of this technique, a two-dimensional finite element
program FEABRS which takes into account the effects of the non-linear behaviour of concrete as well as strain rate effects is
employed. A confirmation of these two approaches is obtained by carrying out some of the analyses with the aid of a general purpose
finite element program DYNA3D. On the basis of the predictions of the analytical and numerical experimentation, it is concluded that
for uniform loads of very pure impulsive nature, the end shear forces obtained from the single degree of freedom approach can be
relied upon for general preliminary design of structural components. The results obtained show that the end shear forces obtained
using the analytical technique were generally about 1-15 percent higher than the corresponding values obtained using the finite element
method for the triangular blast load, thus being conservative and on the safe side. For the ramp load, the Biggs method gave only an
underestimate of 6 percent.
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