Elongate structures, structural assemblies with elongate structures, and methods for supporting a structural load
A structural assembly includes a support structure and an elongate structure intersecting the support structure. The elongate structure has a length and a mass. The mass of the elongate structure varies along the length of the elongate structure. A localized mass of the elongate structure decreases toward the support structure and increases away from the support structure.
1. A structural assembly ( 100 ), comprising:
a support structure ( 104 A), comprising:
a first side;
a second side, opposite the first side; and
an opening ( 206 ), extending from the first side to the second side;
an elongate structure ( 102 ) that passes through the opening ( 206 ) in the support structure ( 104 A), the elongate structure ( 102 ) comprising:
a web ( 120 ); and
a lower flange ( 122 ), extending from the web ( 120 ); and
a panel structure ( 108 ), coupled to the lower flange ( 122 ) of the elongate structure ( 102 ),
wherein:
a first virtual cross-section of the elongate structure ( 102 ) is spaced away from the first side of the support structure ( 104 );
the first side of the support structure ( 104 A) faces toward the first virtual cross-section, and the second side of the support structure ( 104 A) faces away from the first virtual cross-section;
a second virtual cross-section of the elongate structure ( 102 ) is spaced away from the second side of the support structure ( 104 A);
the second side of the support structure ( 104 A) faces toward the second virtual cross-section, and the first side of the support structure ( 104 A) faces away from the second virtual cross-section;
a third virtual cross-section of the elongate structure ( 102 ) is in the opening ( 206 ) of the support structure ( 104 A);
the web ( 120 ) has a first height at the first virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a second height at the second virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a third height at the third virtual cross-section of the elongate structure ( 102 );
the third height of the web ( 120 ) is smaller than the first height of the web ( 120 );
the third height of the web ( 120 ) is smaller than the second height of the web ( 120 );
the lower flange ( 122 ) has a first width at the first virtual cross-section of the elongate structure ( 102 );
the lower flange ( 122 ) has a second width at the second virtual cross-section of the elongate structure ( 102 );
the lower flange ( 122 ) has a third width at the third virtual cross-section of the elongate structure ( 102 );
the third width of the lower flange ( 122 ) is smaller than the first width of the lower flange ( 122 ); and
the third width of the lower flange ( 122 ) is smaller than the second width of the lower flange ( 122 ).
2. The structural assembly ( 100 ) of claim 1 , wherein:
the first virtual cross-section of the elongate structure ( 102 ) has a first area;
the second virtual cross-section of the elongate structure ( 102 ) has a second area;
the third virtual cross-section of the elongate structure ( 102 ) has a third area;
the third area of the elongate structure ( 102 ) is smaller than the first area of the elongate structure ( 102 ); and
the third area of the elongate structure ( 102 ) is smaller than the second area of the elongate structure ( 102 ).
3. The structural assembly ( 100 ) of claim 1 , wherein:
the web ( 120 ) has a minimum height and a maximum height;
the third height of the web ( 120 ) is equal to the minimum height of the web ( 120 ); and
at least one of the first height and the second height of the web ( 120 ) is equal to the maximum height of the web ( 120 ).
4. The structural assembly ( 100 ) of claim 1 , wherein:
the opening ( 206 ) in the support structure ( 104 A) has a height; and
the height of the opening ( 206 ) is smaller than at least one of the first height and the second height of the web ( 120 ) of the elongate structure ( 102 ).
5. The structural assembly ( 100 ) of claim 1 , further comprising a second support structure ( 104 B), spaced away from the support structure ( 104 A), wherein the second support structure ( 104 B) comprises:
a third side;
a fourth side, opposite the third side; and
a second opening, extending from the third side to the fourth side,
wherein:
the elongate structure ( 102 ) passes through the second opening in the second support structure ( 104 B);
the second virtual cross-section of the elongate structure ( 102 ) is spaced away from the third side of the second support structure ( 104 B);
the third side of the second support structure ( 104 B) faces toward the second virtual cross-section;
the fourth side of the second support structure ( 104 B) faces away from the second virtual cross-section;
a fourth virtual cross-section of the elongate structure ( 102 ) is spaced away from the fourth side of the second support structure ( 104 B);
the fourth side of the second support structure ( 104 B) faces toward the fourth virtual cross-section;
the third side of the second support structure ( 104 B) faces away from the fourth virtual cross-section;
a fifth virtual cross-section of the elongate structure ( 102 ) is in the second opening of the second support structure ( 104 B);
the web ( 120 ) has a fourth height at the fourth virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a fifth height at the fifth virtual cross-section of the elongate structure ( 102 );
the fifth height of the web ( 120 ) is smaller than the second height of the web ( 120 ); and
the fifth height of the web ( 120 ) is smaller than the fourth height of the web ( 120 ).
6. The structural assembly ( 100 ) of claim 1 , wherein the lower flange ( 122 ) extends from the web ( 120 ) along an entirety of the elongate structure ( 102 ).
7. The structural assembly ( 100 ) of claim 1 , wherein:
the web ( 120 ) has a first thickness at the first virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a second thickness at the second virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a third thickness at the third virtual cross-section of the elongate structure ( 102 );
the third thickness of the web ( 120 ) is smaller than the first thickness of the web ( 120 ); and
the third thickness of the web ( 120 ) is smaller than the second thickness of the web ( 120 ).
8. The structural assembly ( 100 ) of claim 7 , wherein:
the first virtual cross-section of the elongate structure ( 102 ) has a first area;
the second virtual cross-section of the elongate structure ( 102 ) has a second area;
the third virtual cross-section of the elongate structure ( 102 ) has a third area;
the third area of the elongate structure ( 102 ) is smaller than the first area of the elongate structure ( 102 ); and
the third area of the elongate structure ( 102 ) is smaller than the second area of the elongate structure ( 102 ).
9. The structural assembly ( 100 ) of claim 1 , wherein the elongate structure ( 102 ) further comprises an upper flange ( 128 ), extending from the web ( 120 ), opposite the lower flange ( 122 ),
wherein:
the upper flange ( 128 ) has a first width at the first virtual cross-section of the elongate structure ( 102 );
the upper flange ( 128 ) has a second width at the second virtual cross-section of the elongate structure ( 102 );
the upper flange ( 128 ) has a third width at the third virtual cross-section of the elongate structure ( 102 );
the third width of the upper flange ( 128 ) is smaller than the first width of the upper flange ( 128 ); and
the third width of the upper flange ( 128 ) is smaller than the second width of the upper flange ( 128 ).
10. The structural assembly ( 100 ) of claim 9 , wherein:
the upper flange ( 128 ) has a minimum width and a maximum width;
the third width of the upper flange ( 128 ) is equal to the minimum width of the upper flange ( 128 ); and
at least one of the first width and the second width of the upper flange ( 128 ) is equal to the maximum width of the upper flange ( 128 ).
11. The structural assembly ( 100 ) of claim 1 , wherein the elongate structure ( 102 ) is a monolithic structure.
12. The structural assembly ( 100 ) of claim 1 , wherein:
the elongate structure ( 102 ) is coupled to the support structure ( 104 A); and
the panel structure ( 108 ) is coupled to the support structure ( 104 A).
13. The structural assembly ( 100 ) of claim 1 , wherein:
the support structure ( 104 A) is a frame of an aircraft ( 1200 );
the elongate structure ( 102 ) is a stringer of the aircraft ( 1200 ); and
the panel structure ( 108 ) is a skin panel of the aircraft ( 1200 ).
14. The structural assembly ( 100 ) of claim 1 , wherein:
the lower flange ( 122 ) has a minimum width and a maximum width;
the third width of the lower flange ( 122 ) is equal to the minimum width of the lower flange ( 122 ); and
at least one of the first width and the second width of the lower flange ( 122 ) is equal to the maximum width of the lower flange ( 122 ).
15. An elongate structure ( 102 ) for a structural assembly ( 100 ), the elongate structure ( 102 ) comprising:
a web ( 120 );
a lower flange ( 122 ), extending from the web ( 120 );
a first virtual cross-section;
a second virtual cross-section, spaced away from the first virtual cross-section; and
a third virtual cross-section between the first virtual cross-section and the second virtual cross-section,
wherein:
the web ( 120 ) has a first height at the first virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a second height at the second virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a third height at the third virtual cross-section of the elongate structure ( 102 );
the third height of the web ( 120 ) is smaller than the first height of the web ( 120 );
the third height of the web ( 120 ) is smaller than the second height of the web ( 120 );
the lower flange ( 122 ) has a first width at the first virtual cross-section of the elongate structure ( 102 );
the lower flange ( 122 ) has a second width at the second virtual cross-section of the elongate structure ( 102 );
the lower flange ( 122 ) has a third width at the third virtual cross-section of the elongate structure ( 102 );
the third width of the lower flange ( 122 ) is smaller than the first width of the lower flange ( 122 ); and
the third width of the lower flange ( 122 ) is smaller than the second width of the lower flange ( 122 ).
16. The elongate structure ( 102 ) of claim 15 , wherein:
the first virtual cross-section of the elongate structure ( 102 ) has a first area;
the second virtual cross-section of the elongate structure ( 102 ) has a second area;
the third virtual cross-section of the elongate structure ( 102 ) has a third area;
the third area of the elongate structure ( 102 ) is smaller than the first area of the elongate structure ( 102 ); and
the third area of the elongate structure ( 102 ) is smaller than the second area of the elongate structure ( 102 ).
17. The elongate structure ( 102 ) of claim 15 , wherein:
the web ( 120 ) has a first thickness at the first virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a second thickness at the second virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a third thickness at the third virtual cross-section of the elongate structure ( 102 );
the third thickness of the web ( 120 ) is smaller than the first thickness of the web ( 120 ); and
the third thickness of the web ( 120 ) is smaller than the second thickness of the web ( 120 ).
18. A method for supporting a load in a structural assembly ( 100 ), comprising a support structure ( 104 A), an elongate structure ( 102 ), and a panel structure ( 108 ), the method comprising steps of:
coupling the support structure ( 104 A) to the panel structure ( 108 ), wherein the support structure ( 104 A) comprises:
a first side;
a second side, opposite the first side; and
an opening ( 206 ), extending from the first side to the second side;
coupling the elongate structure ( 102 ) to the panel structure ( 108 ) such that the elongate structure ( 102 ) passes through the opening ( 206 ) in the support structure ( 104 A), wherein the elongate structure comprises:
a web ( 120 ); and
a lower flange ( 122 ), extending from the web ( 120 );
applying the load to the panel structure ( 108 );
transferring the load from the panel structure ( 108 ) to the elongate structure ( 102 );
reacting the load in the web ( 120 ) to resist a bending moment in the elongate structure ( 102 ); and
removing the load from the panel structure ( 108 ),
wherein:
a first virtual cross-section of the elongate structure ( 102 ) is spaced away from the first side of the support structure ( 104 A);
the first side of the support structure ( 104 A) faces toward the first virtual cross-section, and the second side of the support structure ( 104 A) faces away from the first virtual cross-section;
a second virtual cross-section of the elongate structure ( 102 ) is spaced away from the second side of the support structure ( 104 A);
the second side of the support structure ( 104 A) faces toward the second virtual cross-section, and the first side of the support structure ( 104 A) faces away from the second virtual cross-section;
a third virtual cross-section of the elongate structure ( 102 ) is in the opening ( 206 ) of the support structure ( 104 A);
the web ( 120 ) has a first height at the first virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a second height at the second virtual cross-section of the elongate structure ( 102 );
the web ( 120 ) has a third height at the third virtual cross-section of the elongate structure ( 102 );
the third height of the web ( 120 ) is smaller than the first height of the web ( 120 ) and the second height of the web ( 120 );
the lower flange ( 122 ) has a first width at the first virtual cross-section of the elongate structure ( 102 );
the lower flange ( 122 ) has a second width at the second virtual cross-section of the elongate structure ( 102 );
the lower flange ( 122 ) has a third width at the third virtual cross-section of the elongate structure ( 102 );
the third width of the lower flange ( 122 ) is smaller than the first width of the lower flange ( 122 ); and
the third width of the lower flange ( 122 ) is smaller than the second width of the lower flange ( 122 ).
19. The method of claim 18 , wherein:
the load is received at least by a first portion of the elongate structure ( 102 ) and a second portion of the elongate structure ( 102 );
the first portion of the elongate structure ( 102 ) contains the first virtual cross-section;
the second portion of the elongate structure ( 102 ) contains the second virtual cross-section; and
the first portion of the elongate structure ( 102 ) and the second portion of the elongate structure ( 102 ) do not overlap each other.
20. The method of claim 18 , wherein:
a first portion of the load is received by a first portion of the elongate structure ( 102 );
the first portion of the elongate structure ( 102 ) contains the first virtual cross-section;
a second portion of the load is received by a second portion of the elongate structure ( 102 );
the second portion of the elongate structure ( 102 ) contains the second virtual cross-section;
a third portion of the load is received by a third portion of the elongate structure ( 102 );
the third portion of the elongate structure ( 102 ) contains the third virtual cross-section;
the third portion of the load is less than the first portion of the load; and
the third portion of the load is less than the second portion of the load.