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GATE CE Strength of Materials — practice questions

26 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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Stress is defined as:Hooke's law (linear elastic regime): ![diagram](https://qallery.app/diagrams/v2_nptel_som_seed_1/img-8.jpeg)Working stress (allowable stress) is obtained as:For an isotropic linear elastic material, only how many independent elastic constants are needed?Elongation of a uniformly loaded prismatic bar is: ![diagram](https://qallery.app/diagrams/v2_nptel_som_seed_Strain energy stored in an axially loaded member is:For a hollow circular shaft (outer dia D, inner dia d), polar moment of inertia J =For a simply supported beam of length L with central point load P, maximum bending moment is: ![diagram](httpFor a simply supported beam of length L with UDL w (per unit length), maximum bending moment is: ![diagram](hFor a cantilever beam of length L with point load P at free end: ![diagram](https://qallery.app/diagrams/v2_nFor cantilever beam with UDL w along entire length L:Relationship between shear force V and bending moment M along beam length:Shear stress distribution in a rectangular beam is: ![diagram](https://qallery.app/diagrams/v2_nptel_som_seedMaximum shear stress in a rectangular beam relative to average shear stress is:Differential equation of elastic curve (Euler-Bernoulli):Max deflection at center of simply-supported beam with central P:Euler buckling load for a column with both ends pinned: ![diagram](https://qallery.app/diagrams/v2_nptel_som_Effective length L_e for fixed-free (cantilever) column is:Slenderness ratio of a column is:Principal planes are characterized by:Maximum shear stress occurs on planes oriented at ___ to principal planes:For pure shear (σ_x = σ_y = 0, τ_xy = τ), principal stresses are:For thin cylinder under internal pressure p (diameter d, thickness t):For a thin sphere under internal pressure p:Yield strength of structural mild steel (IS 226):Modulus of elasticity for concrete (per IS 456):