Method for calculating load coefficient of uniform cross-section and simply-supported beam under action of blast load
A technology of load factor and explosion load, applied in the field of explosion-proof design of structural engineering, can solve problems such as the discrepancy between calculated values and actual conditions, and achieve the effect of reducing design risks and calculating accurate and reliable
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Embodiment 1
[0046] Taking a 20-meter-long single-span equal-section simply supported beam as an example, an explosive explosion occurs 5 meters above it, and the explosive equivalent is 1 kilogram. Calculate the load factor K for the design of the equivalent single-degree-of-freedom structure L .
[0047] (1) Take the mid-span position of the beam with a length of 20 meters, that is, 10 meters as the coordinate origin, take the horizontal and rightward parallel beam direction as the x-axis direction, and the downward direction perpendicular to the x-axis as the y-axis direction to establish coordinates.
[0048](2) The constraint conditions at both ends of a simply supported beam of equal section are the same, the first-order mode shape of the structure and the effect of the explosion load are positively symmetrical about x=0, and the explosion load coefficient is
[0049] (3) The overpressure peak function generated by the explosion is:
[0050]
[0051] (4) Select the values of...
Embodiment 2
[0061] Taking a 30-meter-long single-span equal-section simply supported beam as an example, an explosive explosion occurs 2 meters above it, and the explosive equivalent is 10 kilograms. Calculate the load factor K for the design of the equivalent single-degree-of-freedom structure L .
[0062] (1) Take the mid-span position of the beam with a length of 30 meters, that is, 15 meters as the coordinate origin, take the horizontal and rightward parallel beam direction as the x-axis direction, and the downward direction perpendicular to the x-axis as the y-axis direction to establish coordinates.
[0063] (2) The constraint conditions at both ends of a simply supported beam of equal section are the same, the first-order mode shape of the structure and the effect of the explosion load are positively symmetrical about x=0, and the explosion load coefficient is
[0064] (3) The overpressure peak function generated by the explosion is:
[0065]
[0066] (4) Select the typical ...
Embodiment 3
[0076] Taking a 10-meter-long single-span equal-section simply supported beam as an example, an explosive explosion occurs at a height of 0.5 meters to 50 meters above it, and the explosive equivalent is 1 kg. Calculate the load factor K for the design of the equivalent single-degree-of-freedom structure L Numerical continuity plot with h / l as variable.
[0077] (1) Take the mid-span position of the beam with a length of 10 meters, that is, 5 meters, as the coordinate origin, take the horizontal and rightward parallel beam direction as the x-axis direction, and the downward direction perpendicular to the x-axis as the y-axis direction to establish coordinates.
[0078] (2) The constraint conditions at both ends of a simply supported beam of equal section are the same, the first-order mode shape of the structure and the effect of the explosion load are positively symmetrical about x=0, and the explosion load coefficient is
[0079]
[0080] (3) The overpressure peak functio...
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