Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, AE. Members QR, RS, and ST have the same length L. Angles QBT, RCT, SDT are all 90°. Angles BQT, CRT, DST are all 30°. The joint T carries a vertical load P. The vertical deflection of joint T is k(PL/AE). What is the value of k?

GATE 2023 Civil Engineering Q39 — Civil Engineering

GATE 2023Set 1Q39MCQanswer keyexplanation soonhard

Civil Engineering · Structural Analysis - Trusses

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Figure from the original GATE 2023 paper. (IIT Kanpur archive)

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Structural Analysis - Trusses has appeared in GATE Civil Engineering 12 times across 9 years (2022, 2023, 2024, 2025, 2026, ...).

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trussdeflectionaxial rigiditystructural analysis