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To be able to identify zero-force members and understand their importance in truss analysis.
Zero-force members occur frequently in trusses and are typically used either to stabilize a truss during construction or to carry transient loads. Truss analysis can be greatly simplified by identifying and, subsequently, eliminating zero-force members.
Zero-force members
Zero-force members are truss members that carry no load under a given load configuration. Because they carry no load and their weight is negligible, compared with the loads carried by the truss, zero-force members experience no force. These members can be identified by drawing a free-body diagram of each joint and applying the conditions
?Fx=0 ?Fy=0
where x and y refer to the coordinate system applied at each joint.
Application of the equilibrium conditions leads to a simple method for identifying the zero-force members in planar trusses:
If the only members of an unloaded joint are two noncollinear members, both members are zero-force members.
If an unloaded joint has two collinear members and one noncollinear member only, the noncollinear member is a zero-force member.
Part A - Identifying zero-force members
Consider the truss shown below. Identify the zero-force members.
Check all that apply.
(1) | AB |
(2) | DE |
(3) | CE |
(4) | BE |
(5) | AE |
(6) | BC |
(7) | CD |
Show transcribed image text Zero-Force Members Learning Goal: To be able to identify zero-force members and understand their importance in truss analysis. Zero-force members occur frequently in trusses and are typically used either to stabilize a truss during construction or to carry transient loads. Truss analysis can be greatly simplified by identifying and, subsequently, eliminating zero-force members. Zero-force members Zero-force members are truss members that carry no load under a given load configuration. Because they carry no load and their weight is negligible, compared with the loads carried by the truss, zero-force members experience no force. These members can be identified by drawing a free-body diagram of each joint and applying the conditions ?Fx=0 ?Fy=0 where x and y refer to the coordinate system applied at each joint. Application of the equilibrium conditions leads to a simple method for identifying the zero-force members in planar trusses: If the only members of an unloaded joint are two noncollinear members, both members are zero-force members. If an unloaded joint has two collinear members and one noncollinear member only, the noncollinear member is a zero-force member. Part A - Identifying zero-force members Consider the truss shown below. Identify the zero-force members. Check all that apply.
May 13 2020 View more View Less
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