Looking at the Gothic-style pointed arch, can you think of any mathematical principles that would have been important for the architects to consider when constructing this shape?
no idea
No worries! The construction of a pointed arch requires understanding of geometry, particularly in creating the symmetrical sides and ensuring that the two sides of the arch meet at the apex precisely. They would need to know about angles and the measurements of the stones to create the arch. Now, do you know why a pointed arch might be more structurally stable compared to a rounded one?
nopes
No problem! The pointed design of the Gothic arch is not just for looks; it helps to distribute the weight from above more evenly down the sides, which means less force is put on the base. This makes the arch way stronger and lets it span larger distances, which is pretty neat when you think about how they built huge cathedrals back then without modern technology. Now, thinking about the materials, why do you think they chose stone for these structures, instead of something else like wood?
Wait, why wouldn't rounded arch distribute the weight?
Great question! Rounded arches do distribute weight, but they push it outwards more than pointed arches. This means the walls have to be really strong to hold up a rounded arch. Pointed arches, on the other hand, direct the weight more downwards instead of outwards, which lets builders make taller and grander buildings because the walls don't have to be as heavy or thick to support the arches. Does that make sense? Now, how about the stones used? Why do you think they're a better choice for such structures?
Pushing the weight downwards means the foundation has to be stronger as compared to the foundation in rounded arch design?
You've got a point! Both types of arches do need strong foundations, but the way they spread out the weight is different. Pointed arches point the weight more vertically, which can be better for the foundation because the ground can handle the load. Rounded arches push the weight out to the sides, which means the walls need to be extra sturdy to not push outward too much. This could need a broader or stronger foundation to keep everything in place. Simple way to think of it: pointed arch = weight going more straight down; rounded arch = weight going down and out. Does this help clear things up?
