MarMOn – Marcus Method Online

Inputs

Load f_d: kN/m2

Module 1 - Bending moments

Instructions

In order to carry out the calculations, the slab geometry and loading must first be specified.

In terms of the slab loading, the value of the total uniformly distributed load (including the dead load) in kN/m² must be specified.

In terms of the slab geometry, both dimensions and support conditions must be specified. All supports are assumed to be ideally fixed in the horizontal and vertical direction. However, the resistance to rotation of each support must be specified by the designer. The supports can be assumed either as ideally free (simply) or ideally fixed (continuous).

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.

Background information

The MarMOn program calculates the bending moments using the Marcus Method [1,2] which is an adaptation of the Strip Method [3,4]. Marcus Method introduces a correction factor to the Rankine-Grashoff Theory of Equal Deflections [1] in order to account for the torsional restraints at the corners. 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. For detailed information regarding the Marcus Theory see [1,2], 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.

Author: 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.