Wednesday, January 23, 2013
Why steep roofs are better
Looking at snow on various roofs, I decided to settle a question that had puzzled me for a long time.
It's clear that steep roofs are better in snowy places.
One reason is obvious but not very important. When snow is 'shed-able', steep roofs will shed it faster. Powdery snow is inclined to fall or blow off, and it falls faster from a steep roof. However, most snow doesn't blow or slide easily. It sticks equally on all roofs. (This year's Spokane snow is especially glue-like, presumably because the temperature has been especially steady at 20 degrees.)
The other reason is more general, but I couldn't wrap my mind around it properly: Steep roofs can hold the load better. This is usually described in terms of pounds per square foot, but that doesn't hit the mark. The important variable for breaking or weakening a roof is the bending force applied at the middle of the rafters. I could sense that the bending force was different for a steep roof, but I needed a diagram to pin it down.
Here's the diagram. The animation varies the roof from steep to nearly flat. Three vector arrows represent the relevant forces felt by the middle of a rafter. The black arrow, always pointing straight down and always the same strength, is the pull of gravity on the snow. The green arrow represents the component of gravity along the rafter. This force tends to pull the house apart, and it is actually worse** for the steep roof. Most important is the red arrow, the component that tries to bend the rafters. This force is weak on a steep roof, strong on a flat roof.
Looking at snow on various roofs, I decided to settle a question that had puzzled me for a long time.
It's clear that steep roofs are better in snowy places.
One reason is obvious but not very important. When snow is 'shed-able', steep roofs will shed it faster. Powdery snow is inclined to fall or blow off, and it falls faster from a steep roof. However, most snow doesn't blow or slide easily. It sticks equally on all roofs. (This year's Spokane snow is especially glue-like, presumably because the temperature has been especially steady at 20 degrees.)
The other reason is more general, but I couldn't wrap my mind around it properly: Steep roofs can hold the load better. This is usually described in terms of pounds per square foot, but that doesn't hit the mark. The important variable for breaking or weakening a roof is the bending force applied at the middle of the rafters. I could sense that the bending force was different for a steep roof, but I needed a diagram to pin it down.
Here's the diagram. The animation varies the roof from steep to nearly flat. Three vector arrows represent the relevant forces felt by the middle of a rafter. The black arrow, always pointing straight down and always the same strength, is the pull of gravity on the snow. The green arrow represents the component of gravity along the rafter. This force tends to pull the house apart, and it is actually worse** for the steep roof. Most important is the red arrow, the component that tries to bend the rafters. This force is weak on a steep roof, strong on a flat roof.
