A Calculation Method for Seismic Fortification Length of Tunnel Entrance Section
A calculation method and tunnel technology, which is applied in tunnels, mining equipment, earthwork drilling and mining, etc., can solve the problem that there is no clear conclusion on the fortification length of the tunnel entrance section, and achieve the effect of improving integrity and accuracy
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[0079] figure 2 Shown is the schematic diagram of the unit taken out with length dx from the foundation beam by the present invention. For the beam element, it can be obtained from the dynamic balance condition:
[0080]
[0081] In the formula:
[0082] Q is the beam section shear force, v(x,t) is the tunnel lateral displacement, ρ is the beam density, s is the beam cross-sectional area, k l is the lateral deformation coefficient of the foundation beam, g l (x, t) is the lateral displacement of foundation soil.
[0083] From the moment balance condition, we can get:
[0084]
[0085] In the formula:
[0086] M is the bending moment of the beam.
[0087] Simplify the above formula to get:
[0088]
[0089] Substitute formula (3.2) into formula (3.1):
[0090]
[0091] From elementary bending theory we get:
[0092]
[0093] In the formula:
[0094] E is the modulus of elasticity of the beam, I is the moment of inertia of the beam section,
[0095] Subs...
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