Civil Engineering
2026 · Paper 2
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Complete GATE CE 2026 Paper 2 overview, original pages and practice · Timed previous-paper practice
Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.
Question 49
Open questionCENAT2 marksNeeds review
A rigid-jointed portal frame, shown in the figure, consists of beam and columns of equal length L. The frame has a fixed support at one end and a roller support at the other end. The frame is subjected to a uniformly distributed load w and a lateral load P as shown in the figure. The plastic moment capacity of the beam and column sections is
. Consider a combined beam-column mechanism for plastic collapse. By applying the virtual work equation corresponding to the combined plastic collapse mechanism,
is expressed as
where C₁ and C₂ are constants.

The value of (C₁/C₂) is ______ (in integer).
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Open questionCENAT2 marksNeeds review
Linearly elastic, homogeneous, uniform bars BC and FG shown in the figure have fixed supports at B and G, respectively. For both the bars, axial rigidity is 2000 kN. A gap of 2 mm exists between D and F prior to application of any load (i.e. P = 0). Small deformation and infinitesimal strain assumptions are valid for the given bars.

The magnitude of the horizontal reaction (in kN) at B after application of the axial force P of 20 kN at C is ______ (rounded off to the nearest integer).
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Open questionCENAT2 marksNeeds review
A simply-supported rectangular reinforced concrete beam has a width 250 mm and an overall depth 600 mm. The effective span of the beam is 6.23 m. The beam carries a live load of 5 kN/m and a super imposed dead load of 5 kN/m, in addition to its own weight. The unit weight of reinforced concrete is 25 kN/m³. Consider the load factor of 1.5 for all stated loads.
The design bending moment (in kN-m) for the limit state of collapse is ______ (rounded off to two decimal places).
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