This article deals with a simple planar and statically determinate pin-connected truss. It demonstrates the processes and methods of derivations and solutions according to 1st and 2nd order theories. The article applies linear and nonlinear approaches and their simplifications via a Maclaurin series. Programming connected with the stochastic Simulation-Based Reliability Method (i.e. the direct Monte Carlo approach) is used to conduct a probabilistic reliability assessment (i.e. a calculation of the probability that plastic deformation will occur in members of the truss).
 Bažant, Z.P., Cedolin, L. Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories. Oxford University Press, New York, 1991 (3rd ed., 2010), pp. 1-1011.
 Dunaiski, P., Galishnikova, V., Pahl, P. J. Geometrically Nonlinear Analysis of Plane Trusses and Frames. ISBN 9781920109486, AFRICAN SUN MeDIA, 2009, pp. 1-382
 Frydrýšek, K. Basic Nonlinear Mechanics of Deformable Bodies in Examples 1. Department of Applied Mechanics, Faculty of Mechanical Engineering, VSB-Technical university of Ostrava, Ostrava, Czech Republic, 2017, (in print).
 Frydrýšek, K. Probabilistic Calculations in Mechanics 1 (Pravděpodobnostní výpočty v mechanice 1). Department of Mechanics of Materials, Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, ISBN 978-80-248-2314-0, Ostrava, Czech Republic, 2010, pp. 1-149 (written in Czech).
 Frydrýšek, K. Probabilistic Approaches Applied in the Solution of Problems in Mining and Biomechanics. in ENGINEERING MECHANICS 2011, pp. 151-154, Svratka, 2011, ISBN: 978-80-87012-33-8.
 Marek, P., Brozzetti, J., Guštar, M., Tikalsky P et al. Probabilistic Assessment of Structures Using Monte Carlo Simulation Background, Exercises and Software, (2nd extended edition). ISBN 80-86246-19-1, ITAM CAS, Prague, Czech Republic, 2003, pp. 1-471.
 Marek, P., Guštar, M., Anagnos, T. et al. Simulation-Based Reliability Assessment For Structural Engineers. CRC Press, Boca Raton, USA, ISBN 0-8493-8286-6, pp. 1-365, 1995.
 Frydrýšek, K. Basic Strength and Elasticity of Materials. ISBN 978-80-248-3870-0, Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, Ostrava, Czech Republic, 2016, pp. 1-264.
 Hoschl, C., Okrouhlik, M. Solution of Systems of Nonlinear Equations. Journal of Mechanical Engineering, ISSN 0039-2472, vol. 54, 4, 2003, Slovakia, pp. 197-227.
 Jančo, R. Solution of Thermo-Elastic-Plastic Problems with Consistent Integration of Constitutive Equations. Journal of Mechanical Engineering, ISSN 0039-2472, vol. 53, 4, 2002, Slovakia, pp. 197-214.