Inclined member can be troublesome especially when the loading applied on it is not parallel to any of its local axis. As a rule of thumb, the load needs to be resolved into transverse and longitudinal components before we proceed with determining the internal forces.
There are three common types of loads that we may encounter for an inclined beam. The first type of load is exerted by pressure, which usually acting along the transverse direction of member. This kind of load is ready for next step i.e. determination of internal force functions.
The second type of loading is usually exerted by weight of structure and non-structural items. This kind of loading usually acts in gravity direction (global y axis). The third type of loading usually comes from rain and snow, which acting along the projected length of inclined member. Both loadings need to be resolved into local x and y components first.
The following shows the procedure to resolve the forces acting on an inclined member. Watch the video above for full details.
Member overview
An inclined member's local axes do not coincide with their counterparts in global coordination system.
Loading type 1
The loading is acting along the local y axis of member, distributed along the length of member.
Loading type 1
The sources for this type of loading are water and wind pressure.
Loading type 2
The loading is acting along the global y axis of member, distributed along the length of member.
Loading type 2
The sources for this type of loading are self weight of member, and superimposed dead load on the structure.
Resolving for loading type 2
Loading type 3
The loading is acting along the global y axis of member, distributed along the projected length of member.
Loading type 3
The sources for this type of loading are rain and snow, where total magnitude of loading solely depends on the plan area/length.
Resolving for loading type 3
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