Optimized design method for section of multi-rib type T-shaped beam bridge
An optimized design, T-shaped beam technology, applied in calculation, special data processing applications, instruments, etc., can solve the problems of overall stiffness reduction, excessive down deflection, flange and web cracking, etc.
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[0063] For multi-ribbed T-shaped beams, the material parameters and geometric parameters are E=3.5×10 4 MPa; G=1.5×10 4 MPa, the original design flange length is b 1 = 1.75m; b 2 =2.25m; b 3 = 3.75m; t 1 = t 2 = t 3 =0.3m, the thickness of ribs is t w =0.25m, the beam height is h=1.5m. The concentrated force P in static analysis k1 (z)=147000N, uniform force q k2 (z) = 14700 N / m.
[0064] The calculation method of stress and displacement change of multi-rib T-beam is as follows:
[0065] (1) Refer to figure 2 As shown, when n=3, according to the variational principle, the differential equation and natural boundary conditions of the multi-ribbed T-beam are:
[0066] Differential equation:
[0067] EIθ”+EI s1 u 1 "+EI s2 U' 2 '+EI s3 u 3 "-kGA(θ-w')=0(17)
[0068] EI s1 θ"+EI t1 u 1 "-Gk x1 u 1 +EI a1 U' 2 '+EI a2 U' 3 '=0(18)
[0069] EI s2 θ"+EI a1 u 1 "+EI t2 U' 2 '-Gk x2 u 2 +EI a3 u 3 "=0(19)
[0070] EI s3 θ"+EI a2 u 1 "+EI a3 U...
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