2025 · Paper 1

Complete GATE AE 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 58–60 of 65. Imported answers require review unless explicitly marked reviewed.

Question 58

Open question

AENAT2 marksNeeds review

A prismatic vertical column of cross-section



and length



is rigidly fixed at the bottom and free at the top. A compressive force P is applied along the centroidal axis at the top surface. The Young’s modulus of the material is 200 GPa and the uniaxial yield stress is 400 MPa. If the critical value of P for yielding and for buckling of the column are equal, the value of



is ____ (rounded off to one decimal place).



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Question 59

Open question

AENAT2 marksNeeds review

A thin flat plate is subjected to the following stresses:



MPa;



MPa;



MPa.

Factor of safety is defined as the ratio of the yield stress to the applied stress. The yield stress of the material under uniaxial tensile load is 250 MPa. The factor of safety for the plate assuming that material failure is governed by the von Mises criterion is ____ (rounded off to two decimal places).



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Question 60

Open question

AENAT2 marksNeeds review

Two designs A and B, shown in the figure, are proposed for a thin-walled closed section that is expected to carry only torque. Both A and B have a semi-circular nose and are made of the same material with a wall thickness of 1 mm. With strength as the only criterion for failure, the ratio of maximum torque that B can support to the maximum torque that A can support is__ (rounded off to two decimal places).



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