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cantilever beam

GATE Mechanical Engineering · Strength of Materials - Shear Force and Bending Moment Diagrams · 2012-2026

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2026 Q40

A cantilever beam of length L is subjected to a concentrated load P and a moment M as shown in the figure below. Neglecting the mass of the beam, which one of the following options...

mediumanswer key
2025 Q42

The system shown in the figure below consists of a cantilever beam (with flexural rigidity $EI$ and negligible mass), a spring (with spring constant $K$ and negligible mass) and a...

mediumanswer keyelite explanation
2023 Q16

The effective stiffness of a cantilever beam of length L and flexural rigidity EI subjected to a transverse tip load W is

medium
2021 Q17

A cantilever beam of length, L, and flexural rigidity, EI, is subjected to an end moment, M, as shown in the figure. The deflection of the beam at x = L/2 is

mediumanswer key
2021 Q53

A cantilever beam with a uniform flexural rigidity (EI = 200 x 10⁶ N.m²) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding t...

mediumanswer key
2021 Q54

A machine part in the form of cantilever beam is subjected to fluctuating load as shown in the figure. The load varies from 800 N to 1600 N. The modified endurance, yield and ultim...

hardanswer key
2021 Q55

A cantilever beam of rectangular cross-section is welded to a support by means of two fillet welds as shown in figure. A vertical load of 2 kN acts at free end of the beam. Conside...

mediumanswer key
2019 Q31

A prismatic, straight, elastic, cantilever beam is subjected to a linearly distributed transverse load as shown below. If the beam length is L, Young's modulus E, and area moment o...

mediumanswer key
2019 Q37

A horizontal cantilever beam of circular cross-section, length 1.0 m and flexural rigidity EI = 200 N·m² is subjected to an applied moment MA = 1.0 N·m at the free end as shown in...

mediumanswer key
2018 Q8

For a loaded cantilever beam of uniform cross-section, the bending moment (in N·mm) along the length is $M(x) = 5x^2 + 10x$, where x is the distance (in mm) measured from the free...

mediumanswer key
2018 Q9

A cantilever beam of length L and flexural modulus EI is subjected to a point load P at the free end. The elastic strain energy stored in the beam due to bending (neglecting transv...

mediumanswer key
2017 PYQ

A cantilever beam of length $$L$$ and flexural modulus $$EI$$ is subjected to a point load $$P$$ at the free end. The elastic strain energy stored in the beam due to bending (negle...

easyanswer key
2017 PYQ

For a loaded cantilever beam of uniform cross-section, the bending moment (in N-mm) along the length is M(x) = 5x 2 +10x, where x is the distance (in mm) measured from the free end...

easy
2016 PYQ

A cantilever beam having square cross-section of side $$a$$ is subjected to an end load. If a is increases by $$19$$%, the tip deflection decreases approximately by

mediumanswer key
2014 PYQ

A cantilever beam of length, $$L,$$ with uniform cross-section and flexural rigidity $$ EI,$$ is loaded uniformly by a vertical load, $$w$$ per unit length. The maximum vertical de...

easyanswer key
2014 PYQ

Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length $$0.01m$$. The frequency of vibration of the beam, with a $$0.5$$ kg mass attached at...

medium
2012 PYQ

A cantilever beam of length $$L$$ is subjected to a moment $$M$$ at the free end. The moment of inertia of the beam cross section about the neutral axis is $$I$$ and the Young’s mo...

easyanswer key