Engineering Sciences
2024 · Paper 1
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Complete GATE XE 2024 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 79–81 of 175. Imported answers require review unless explicitly marked reviewed.
Question 79
Open questionXE-DMSQ2 marksNeeds review
A critical point on a component is subjected to the state of stress
as given in the following. The yield strength of the material is 400 MPa. By considering maximum shear stress (Tresca) theory, the possible value(s) of
at the onset of yielding is/are,
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Open questionXE-DNAT2 marksNeeds review
A plane passing through a point Q inside a body is shown. The unit normal of the plane is
, as shown in the figure. The traction (stress) vector on the plane at point Q is given by
MPa. Given that at point Q,
, the shear stress component
(in MPa, rounded off to two decimal places) is __________ . 
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Open questionXE-DNAT2 marksNeeds review
A rigid massless bar PQ is hinged at its end P and supported through a spring of stiffness
at point Q. A vertically downward force
is applied at the free end R of the bar. If the vertical component of the displacement at R is 30 mm, then the stiffness of the spring (in kN/m, rounded off to one decimal place) is ___. 
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