GATE ME 2025 Set 1 — Question 27
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Engineering Mechanics → Statics → Trusses (Joints & Sections)
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Question
A truss structure is loaded as shown in the figure below. Among the options given, which member in the truss is a zero-force member?
Correct answer
(A) BD
Solution
Geometry from the figure: (pin) and (roller) are 1 m apart on the ground, is 1 m directly above , and lies on member with . The load acts horizontally at .Joint B. Three members meet at : and are collinear (both lie along the line ), and is not collinear with them. No external load or support acts at . Resolving forces perpendicular to at , only has a component, soThe other members carry load: joint has the external force and only two members ( and ), so both are loaded; carries the same force as (collinear at with ). Joint has a support reaction, so the zero-force rule cannot be applied there.Answer: (A) BD
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