Beams

Which of the following beam(s) is/are statically indeterminate?

Consider a beam with circular cross-section of diameter $$d.$$ The ratio of the second moment of area about the neutral axis to the section modulus of the area is

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 transverse shear) is

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 of the beam. The magnitude of shear for...

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

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 deflection of the beam is given by

Consider a simply supported beam of length $$50$$h, with a rectangular cross-section of depth h, and width $$2$$h. The beam carries a vertical point load P, at its mid-point. The ratio of the maximum shear stress to the...

A simply supported beam of length $$L$$ is subjected to a varying distributed load $$\sin \left( {3\pi x/L} \right)N{m^{ - 1}},$$ where the distance $$x$$ is measured from the left support. The magnitude of the vertical...

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 modulus is $$E$$. The magnitude of the max...

A simply supported beam of span length $$6$$m and $$75$$ mm diameter carries a udl of $$1.5$$ kN/m What is the maximum value of bending moment?

A simply supported beam of span length $$6$$m and $$75$$ mm diameter carries a udl of $$1.5$$ kN/m What is the maximum value of bending stress?

The beams, one having square cross section and another circular cross-section,are subjected to the same amount of bending moment. If the cross sectional area as well as the material of both the beams are the same then

A simply supported laterally loaded beam was found to deflect more than a specified value. Which of the following measures will reduce the deflection?

A concentrated load $$P$$ acts on a simply supported beam of span $$L$$ at a distance $${L \over 3}$$ from the left support. The bending moment at the point of application of the load is given by

For a simply supporting beam on two end supports the Bending Moment is maximum: