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GATE 2026 MN – Question 63

Geomechanics and Ground Control · Engineering Mechanics · 2 marks · Numerical answer

The pin-jointed triangular truss PQR has span PR=5 m, angles60° at P and30° at R, and a10 kN vertical downward load at Q. Find the force magnitude in PR in kN to two decimals.

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Correct answer: 4.00 to 4.50

Explanation

At joint Q, the bar directions follow the60° and30° base angles. Resolving horizontally and vertically gives compression in PQ of8.660 kN and QR of5 kN. The horizontal component at P is8.660cos60°=4.330 kN, balanced by tension in PR. Thus PR carries4.33 kN in tension.

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