Adjustable modules for variable depth structures
A structural plane is presented for forming a variable depth structure constructed of adjustable modules. Each module is formed of four links connected with revolute joints. The modules are connected at adjacent lateral joints and by upper and lower chords connecting the upper and lower revolute joints of the modules. The ultimate lateral joints of the modules at each end are connected to each end of the structural plane. The adjustable module and other components can form two- and three-hinged arches made of standard rolled steel sections.
1. A structural plane for forming a variable depth structure having a first end and a second end comprising:
a plurality of adjustable modules, each module comprising:
a first link with a first end and a second end;
a second link with a first end and a second end operably connected to the first end of the first link with an upper revolute joint;
a third link with a first end and a second end operably connected to the first end of the second link with a first lateral revolute joint;
a fourth link with a first end and a second end operably connected to the first end of the third link with a lower revolute joint and operably connected to the first link at a second lateral revolute joint;
an upper chord connecting the upper revolute joint of one of the plurality of adjustable modules to the upper revolute of an adjacent one of the plurality of adjustable modules;
a lower chord connecting the lower revolute joint of the one of the plurality of adjustable modules to the lower revolute of the adjacent one of the plurality of adjustable modules;
wherein the second lateral revolute joint of the one of the plurality of adjustable modules is operably connected to the first lateral revolute joint of the adjacent one of the plurality of adjustable modules;
wherein the first and second ends of the structural plane are restrained;
wherein the first lateral revolute joint of one of the plurality of adjustable modules nearest a first end of the structural plane is a first ultimate lateral revolute joint;
wherein the second lateral revolute joint of one of the plurality of adjustable modules nearest a second end of the structural plane is a second ultimate revolute joint; and
wherein the first end is operably connected to the first ultimate lateral revolute joint, and the second end is operably connected to the second ultimate lateral revolute joint.
2. The structural plane of claim 1 , wherein the adjustable modules, the upper chord, the and lower chord are constructed of steel.
3. The structural plane of claim 1 , wherein each link is the same length.
4. The structural plane of claim 3 , wherein the link length is 10 feet.
5. The structural plane of claim 1 wherein the adjustable modules are arranged such that the first lateral revolute joint of one of the adjustable modules is positioned at the midpoint of the structural plane.
6. The structural plane of claim 1 , wherein the structural plane is formed as a three-hinged arch.
7. The structural plane of claim 1 , wherein the adjustable modules are arranged such that the upper revolute joint and lower revolute joint of one of the adjustable modules are both positioned at the midpoint of the structural plane.
8. The structural plane of claim 1 , wherein the structural plane is formed as a two-hinged arch.
9. The structural plane of claim 1 , wherein the structural plane is formed as a fixed arch.
10. The structural plane of claim 1 , wherein the links are angle sections.
11. The structural plane of claim 1 , wherein the chord segments are wide flange sections.
12. The structural plane of claim 1 , wherein two of the upper chords that are connected to the same upper revolute joint are connected to each other by a moment-resisting connection.
13. The structural plane of claim 1 , wherein two of the lower cords that are connected to the same lower revolute joint are connected to each other by a moment-resisting connection.
14. The structural plane of claim 1 , wherein the variable depth structure is one of following: a bridge, roof structure, building frame component, or a grid shell.