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Concept drill

plane stress

GATE Mechanical Engineering · Strength of Materials - Principal Stresses · 2009-2025

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2025 Q56

The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (εzz) is ________ (rounded off to...

hard
2023 Q27

Which of the plot(s) shown is/are valid Mohr's circle representations of a plane stress state in a material? (The center of each circle is indicated by O.)

medium
2022 PYQ

A structural member under loading has a uniform state of plane stress which in usual notations is given by σ x = 3P, σ y = -2P and τ xy = √2 P, where P > 0. The yield strength of t...

mediumanswer keybasic explanation
2018 Q29

The state of stress at a point, for a body in plane stress, is shown in the figure below. If the minimum principal stress is 10 kPa, then the normal stress $\sigma_y$ (in kPa) is

mediumanswer key
2015 PYQ

In a plane stress condition, the components of stress at a point are $${\sigma _x} = 20$$ MPa, $${\sigma _y} = 80$$ MPa and $${\tau _{xy}} = 40$$ MPa, The maximum shear stress (in...

easyanswer key
2012 PYQ

The state of stress at a point under plane stress condition is $${\sigma _{xx}} = 40\,$$ MPa, $${\sigma _{yy}} = 100\,$$ MPa & $${\tau _{xy}} = 40$$ MPa. The radius of the Mohr's c...

easyanswer key
2010 PYQ

The state of plane-stress at a point is given by $${\sigma _x}\,\, = 200$$ MPa, $${\sigma _x}\,\, = 100$$ MPa and $${\tau _{xy}} = 100$$ MPa. The maximum shear stress (in MPa) is

easyanswer key
2009 PYQ

If the principal stresses in a plane stress problem are $${\sigma _1}$$ $$= 100$$ MPa, $${\sigma _2}$$ $$= 40$$ MPa, the magnitude of the maximum shear stress (in MPa) wil be

mediumanswer key