A method for quickly extracting the mid-span displacement influence line of a simply supported girder bridge when vehicles pass slowly
A technology of displacement influence line and simply supported girder bridge, applied in instrument, geometric CAD, electrical digital data processing, etc., can solve the problems of inability to compare with the measured value, difficult to obtain the measured value of the influence line, unclear mechanics concept, etc.
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specific Embodiment approach 1
[0085] Specific Embodiment 1: This embodiment records a method for quickly extracting the displacement influence line of a vehicle slowly passing through the mid-span of a simply supported girder bridge. The driving speed of the vehicle is less than 5 km / h. Three-axle truck, the method is as follows:
[0086] Situation 1: Influence line of mid-span displacement under the action of double-axle truck
[0087] For the corresponding two-axle truck, the axle loads of the front axle and the rear axle are P / 2 respectively, the total weight is P, and the wheelbase is s; the distance from the front axle to the left fulcrum of the bridge is x 1 =x, the distance x from the rear axle to the left fulcrum of the bridge 2 =x-s;
[0088] The mid-span vertical displacement formula is as follows:
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[0095] IV.
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[0097] In the above formula, E is the modulus of elasticity, I is the moment o...
Embodiment 1
[0143] A method for quickly extracting the displacement influence line of a vehicle slowly passing through the mid-span of a simply supported beam bridge. The specific application steps are as follows: Figure 11 Shown:
[0144] Two-axle trucks pass slowly across the bridge. Calculate the concrete simply supported beam bridge with a span of l=40m. The two-axle trucks pass slowly through the bridge. The total weight of the vehicle is P=300kN, and the weights of the corresponding front and rear axles are both P 1 =P 2 =150kN, wheelbase s=3m.
[0145] The displacement sensor is arranged across the section, and its displacement curve is as follows Figure 12 As shown, the mid-span vertical displacement influence line obtained after separation by this method is as follows: Figure 13 As shown, through the finite element model analysis, the theoretical value of the mid-span vertical displacement influence line is as follows: Figure 14 As shown, comparing the two, the relative e...
Embodiment 2
[0147] Three-axle trucks pass slowly across the bridge. Calculate a concrete simply supported beam bridge with a span of l=40m. Two-axle trucks pass slowly through the bridge. The total weight of the vehicle is P=300kN, and the corresponding weight of the front axle is P 1 =60kN, the weight of the center axle and the rear axle are both P 2 =P 3 =120kN, the distance from the front axle to the middle axle s 1 =4m, distance s from central axis to rear axle 2 = 1.4m.
[0148] The displacement sensor is arranged across the section, and its displacement curve is as follows Figure 16 As shown, the mid-span vertical displacement influence line obtained after separation by this method is as follows: Figure 17 As shown, through the finite element model analysis, the theoretical value of the mid-span vertical displacement influence line is as follows: Figure 14 As shown, comparing the two, the relative error is as Figure 18 As shown, it can be seen that for the section near the...
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