Where s stands for arch arc length, B0 stands for clear width and H stands for clear height.
If you need to calculate the quarter arch height of a three-center arch, you can use the following formula: h1/4 = h-(H2-h0 2)/(8 * B0), where H0 is the height of the arch foot.
Calculation formula of three-center arch engineering quantity: v = s× l, where V stands for three-center arch engineering quantity, S stands for three-center arch area, and L stands for three-center arch length.
Three-center arch is an arch structure with three centers, which is usually used for beams, slabs, arches and other components in building engineering. The above formula can be used to calculate the square quantity of three-center arch, where the clear width b refers to the bottom width of three-center arch and the clear height h is the vertical height of three-center arch from bottom to top. The formula can be deduced by some mathematics, and the specific process is complicated. In actual calculation, the formula can be substituted according to the specific size of the three-center arch.
It should be noted that this formula is only applicable to three-center arch with regular shape, and other methods may be needed to calculate three-center arch with irregular shape. In addition, when using formulas for calculation, it is necessary to ensure that the units used are consistent to avoid calculation errors.
Application fields of three-center arch:
1, arch bridge design: the arch bridge design can adopt the principle of three-center arch, so that the arch bridge can bear the load from vehicles and people, maintain stability, and avoid structural deformation and damage.
2. Design of arched buildings and tunnels: The principle of three-center arch can also be applied to the design of arched buildings, tunnels and other structures to improve the strength and stability of the structure.
3. Water conservancy projects: In water conservancy projects, dams, aqueducts and other structures can be designed by using the principle of three-center arch to ensure their stability and safety.
4. Underground engineering: In underground engineering, the principle of three-center arch can be applied to the design of subway, basement and other structures, which can withstand the influence of surrounding water and soil pressure and maintain the stability of the structure.
5. Bridge reinforcement and maintenance: For the existing bridge structure, if there are problems such as aging and damage, the three-center arch principle can be used for reinforcement and maintenance to prolong the service life of the bridge.
6. Protection of ancient buildings: Some ancient buildings, such as ancient bridges and pagodas, can be protected and repaired by using the principle of three-heart arch to maintain their historical and cultural values.