MarMOn – Marcus Method Online

A program for the calculation of bending moments in a two-way reinforced concrete slab at the service limit state using the Marcus Method

Author: Jakub Holan, Radek Štefan

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Description

Using the MarMOn program, the bending moments in a two-way reinforced concrete slab using the Marcus Method [1,2] can be calculated.

The Marcus Method [1,2] is an adaptation of the Strip Method [3,4]. Marcus Method introduces a correction coefficient to the Rankine-Grashoff Theory of Equal Deflections [1] in order to account for the torsional restraints at the corners of the slab. Thus, the Marcus Method calculates bending moments in a two-way slab assuming equal mid-span deflections in both directions while accounting for the torsion.

In the MarMOn program, slab load and dimensions are first defined by the user. Then, the bending moments are calculated using Marcus Method – i.e. first the hogging ad sagging moments are calculated using the Rankine-Grashoff Theory of Equal Deflections, and subsequently, the sagging moments are corrected using the Marcus correction coefficient to account for torsional moments.

The outputs of the program are tabulated values of bending moments and graphs presenting the bending moments in both directions. For comparison, bending moments determined using Linear Analysis (i.e. moments calculated without accounting for torsion) are also plotted in the graphs.

For detailed information regarding the Marcus Theory see [1,2,5], and for detailed information regarding the program algorithm see [5].

References

[1] Sinha S. N. (1989) Reinforced Concrete Design. Tata McGraw-Hill Education, ISBN 978-9351342472.
[2] Klokner F. and Hruban K. (1959) Technický průvodce 24: Železový beton I. díl. Státní nakladatelství technické literatury.
[3] Park R. and Gamble W. L. (1999) Reinforced concrete slabs. Ed. 2, John Wiley & Sons, Inc., ISBN 978-0-471-34850-4.
[4] Hillerborg A. (1960) A Plastic Theory for the Design of Reinforced Concrete Slabs. Proceedings, 6th Congress of International Association of Bridge and Structural Engineering, Stockholm.
[5] Holan J. and Štefan R. (2020) Web-based application for the calculation of bending moments in a reinfoced-concrete slab using the Marcus Theory. Under preparation.


Cite as: Holan J. and Štefan R. Web-based application for the calculation of bending moments in a reinfoced-concrete slab using the Marcus Theory. 27th International Conference Concrete Days 2020. Solid State Phenomena, 2021.

Authors: Jakub Holan, Radek Štefan
jakub.holan@fsv.cvut.cz, radek.stefan@fsv.cvut.cz

This work was supported by the Grant Agency of the Czech Technical University in Prague, project no. SGS20/041/OHK1/1T/11.