Strain Energy

Q. If the strain energy absorbed in a cantilever beam in bending under its own weight is Ktimes greater than the strain energy absorbed in an identical simply supported beam in bending under its own weight, then the magnitude of K is

1. 2
2. 4
3. 6
4. 8

Q. For a linear elastic beam shown in the figure, the flexural rigidity EI, is $781250kN-m^2$. When $w=100kN/m$, the vertical reaction $R_A$ for $w=100kN/m$ is

1. $500kN$
2. $425kN$
3. $250kN$
4. $75kN$

Q. In a system two weightless rigid bars AB and BC of length 'a' each having hinge supports at the' ends A and C, respectively, are connected to each other at B by a frictionless hinge (internal hinge). The rotation at the hinge is restrained by a rotational spring of stiffness k and system assumes a straight line configuration ABC. The rotation at the supports due to vertical load P acting at joint B is

1. $\frac{Pa}{2k}$
2. $\frac{Pa}{4k}$
3. $\frac{Pa}{k}$
4. $\frac{2Pa}{k}$

Q. A simply supported beam of span I and flexual rigidity EI carries at unit load at its mid -span. The strain energy at this condition in the beam due to bending is

1. $\frac{I^3}{48EI}$
2. $\frac{I^3}{96EI}$
3. $\frac{I^3}{192EI}$
4. $\frac{I^3}{16EI}$