Bending the Foundation Beam on Elastic Base by Two Reaction Coefficient of Winkler’s Subgrade
Апстракт
A new method for analysis of counter beams is presented in the paper. The
analysis has taken into account their stiffness EI, Winkler’s space with mod-
ulus of subgrade reaction k and equality deformities of the foundation beam
with the ground. The solution is found by using the numerical analysis of the
Winkler’s model, with variation of different moduli of the subgrade reaction
k2 outside the force zone r, while under the force P exists the modulus of the
subgrade reaction k, up to the definition of minimum bending moments. The
exponential function k2(r), as the geometric position of the minimum mo-
ments is approximately assumed. From the potential energy conditions of the
reciprocity of displacement and reaction, the width of the zone r and the
modulus of the subgrade reaction k2 are explicitly determined, introducing in
the calculation initial and calculation soil displacement wsi successively. At
the end of the paper, it presented numerical example in which the influe...nce
of k and k2 values on bending moments of the counter beam is analyzed. The
essential idea of this paper is to decrease the quantity of the reinforcement in
the foundations, beams, i.e. to obtain a cost-efficient foundation construction.
Кључне речи:
Foundation Beam / Winkler’s Model / Coefficient of Subgrade Reaction Modulus k and k2 / Zone r under the Force P / Soil Displacement wsiИзвор:
Open Journal of Civil Engineering, 2019, 123-134Издавач:
- Scientific Research Publishing
Колекције
Институција/група
Inovacioni centarTY - JOUR AU - Balabušić, Mirko AU - Folić, Boris AU - Ćorić, Slobodan PY - 2019 UR - http://www.scirp.org/journal/ojce UR - https://machinery.mas.bg.ac.rs/handle/123456789/6986 AB - A new method for analysis of counter beams is presented in the paper. The analysis has taken into account their stiffness EI, Winkler’s space with mod- ulus of subgrade reaction k and equality deformities of the foundation beam with the ground. The solution is found by using the numerical analysis of the Winkler’s model, with variation of different moduli of the subgrade reaction k2 outside the force zone r, while under the force P exists the modulus of the subgrade reaction k, up to the definition of minimum bending moments. The exponential function k2(r), as the geometric position of the minimum mo- ments is approximately assumed. From the potential energy conditions of the reciprocity of displacement and reaction, the width of the zone r and the modulus of the subgrade reaction k2 are explicitly determined, introducing in the calculation initial and calculation soil displacement wsi successively. At the end of the paper, it presented numerical example in which the influence of k and k2 values on bending moments of the counter beam is analyzed. The essential idea of this paper is to decrease the quantity of the reinforcement in the foundations, beams, i.e. to obtain a cost-efficient foundation construction. PB - Scientific Research Publishing T2 - Open Journal of Civil Engineering T1 - Bending the Foundation Beam on Elastic Base by Two Reaction Coefficient of Winkler’s Subgrade EP - 134 SP - 123 DO - 10.4236/ojce.2019.92009 ER -
@article{ author = "Balabušić, Mirko and Folić, Boris and Ćorić, Slobodan", year = "2019", abstract = "A new method for analysis of counter beams is presented in the paper. The analysis has taken into account their stiffness EI, Winkler’s space with mod- ulus of subgrade reaction k and equality deformities of the foundation beam with the ground. The solution is found by using the numerical analysis of the Winkler’s model, with variation of different moduli of the subgrade reaction k2 outside the force zone r, while under the force P exists the modulus of the subgrade reaction k, up to the definition of minimum bending moments. The exponential function k2(r), as the geometric position of the minimum mo- ments is approximately assumed. From the potential energy conditions of the reciprocity of displacement and reaction, the width of the zone r and the modulus of the subgrade reaction k2 are explicitly determined, introducing in the calculation initial and calculation soil displacement wsi successively. At the end of the paper, it presented numerical example in which the influence of k and k2 values on bending moments of the counter beam is analyzed. The essential idea of this paper is to decrease the quantity of the reinforcement in the foundations, beams, i.e. to obtain a cost-efficient foundation construction.", publisher = "Scientific Research Publishing", journal = "Open Journal of Civil Engineering", title = "Bending the Foundation Beam on Elastic Base by Two Reaction Coefficient of Winkler’s Subgrade", pages = "134-123", doi = "10.4236/ojce.2019.92009" }
Balabušić, M., Folić, B.,& Ćorić, S.. (2019). Bending the Foundation Beam on Elastic Base by Two Reaction Coefficient of Winkler’s Subgrade. in Open Journal of Civil Engineering Scientific Research Publishing., 123-134. https://doi.org/10.4236/ojce.2019.92009
Balabušić M, Folić B, Ćorić S. Bending the Foundation Beam on Elastic Base by Two Reaction Coefficient of Winkler’s Subgrade. in Open Journal of Civil Engineering. 2019;:123-134. doi:10.4236/ojce.2019.92009 .
Balabušić, Mirko, Folić, Boris, Ćorić, Slobodan, "Bending the Foundation Beam on Elastic Base by Two Reaction Coefficient of Winkler’s Subgrade" in Open Journal of Civil Engineering (2019):123-134, https://doi.org/10.4236/ojce.2019.92009 . .