The beam of the prestressed concrete

object model

Carried out a verification calculation and examination of the floor beams prestressed concrete.

Type of study reinforced concrete beam: SBE18-2V2 (Option 2). Armature d = 18 mm, the material - the steel grade AV (prestress value σ 0 = 650 MPa). The geometrical dimensions of the beam: 950 mm length 17, width 300 mm, height 1490 mm. Total estimated model beam, made in the module APM Structure3D, is shown below.

Fig. 1 Fragment of a solid model of the beam
Fig. 2 Detail of the model of a beam with reinforcement

onsidered beam is pivotally supported on a building column. Span 17 600 mm.

Load, impact and combinations thereof

     load values ​​were set in accordance with the requirements

     1. SP 20.13330.2011 Loads and effects.

     Uploading models performed several load types: constant (own weight of the structure, prestressing reinforcement) and time (the load of the weight of the equipment, the people, the stored materials and products, and snow load).

     The calculated beam provides the use of a pre-stressed reinforcement. As used tendon and thermomechanically hot rolled hardened steel AV (A800) class. The magnitude of the prestress is 650 MPa.

Fig. Scheme 3 reinforcement preliminary deformation

 After all the stress on individual loadings were created linear combinations of loads to which each of the loadings entered with the corresponding coefficients.

Verification load

      To assess the quality of the constructed model, as well as its operation, beams verification calculation was performed at the specified test load in IL rafters 26-79 SB3-18-1V2, SB3-18-2V2. Load application circuit is shown below. The amount of force F = 13.4 m.

Fig. 4 Arrangement for testing the strength of the beam (Sheet 4, IL rafters 26-79 SB3-18-1V2, SB3-18-2V2)
Fig. 5 Calculated test load circuit to the beam

Analysis verification calculation

      According sheet 4 IL rafters 26-79 SB3-18-1V2, SB3-18-2V2 controlling the vertical deflection of the beam under consideration when tested for toughness and crack resistance, of the corresponding load is 5.7 mm. 

      The results of static analysis are in good agreement with the experimental data given. Maximum deflection pattern at said load, in the center of the span is 5.714 mm.

Fig. 6 Target loads when tested for stiffness and fracture toughness (Sheet 4, IL rafters 26-79 SB3-18-1V2, SB3-18-2V2)
Fig. 7 The distribution map vertical displacement of the beam under load verification (scale factor 100); UZ, mm

The calculation results

Fig. 8 Map axial stress distribution in the beam, MPa
Fig. 9 axial stress distribution map in the armature, MPa
Fig. 10 Map of the distribution of the total displacement of the beam, mm
Fig. 11 Map of the distribution of vertical displacements, mm
Fig. 12 Map deformations supporting beam