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An Individual Core Structure of a Sandwich Beam Due to the “Broken Line” Theory of the Shear Effect–Three-Point Bending

 and   
Mar 31, 2025

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Fig. 1.

Scheme of the cross section of the sandwich beam
Scheme of the cross section of the sandwich beam

Fig. 2.

Scheme of a planar cross section deformation of this beam
Scheme of a planar cross section deformation of this beam

Fig. 3.

Scheme of the selected part of this beam cross section
Scheme of the selected part of this beam cross section

Fig. 4.

Scheme of the three-point bending of the beam
Scheme of the three-point bending of the beam

Fig. 5.

Scheme of reactions in left end-part of this beam
Scheme of reactions in left end-part of this beam

Fig. 6.

The graph of the dimensionless displacement function ψ̄f(ξ)
The graph of the dimensionless displacement function ψ̄f(ξ)

Fig. 7.

Graphs of the function fc(η) for the selected structures of the beam
Graphs of the function fc(η) for the selected structures of the beam

Fig. 8.

Graphs of the function 



τ¯xyc14,η
\bar \tau _{{\rm{xy}}}^{\left( c \right)}\left( {{1 \over 4},\eta } \right)


 for the selected structures of the beam
Graphs of the function τ¯xyc14,η \bar \tau _{{\rm{xy}}}^{\left( c \right)}\left( {{1 \over 4},\eta } \right) for the selected structures of the beam

The results of calculations of the selected structures of beam

χc 18/20 17/20 16/20
C0 0.21375 0.29484375 0.36
ψ̄f(1⁄4) 10.730 10.997 10.915
Cse 0.248714 0.349100 0.433171
max 56.507 45.361 39.169