In a material under a state of plane strain, a 10×10 mm square centered at a point gets deformed as shown in the figure. If the shear strain $$\gamma_{xy}$$ at this point is expressed as 0.001k (in rad), the value of k is

Consider the portal frame shown in the figure and assume the modulus of elasticity, $$E = \,2.5 \times {10^4}\,\,MPa$$ and the moment of inertia, $${\rm I} = 8 \times {10^8}\,\,m{m^4}$$ for all the members of the frame.

The rotation (in degrees, up to decimal place) at the rigid joint $$Q$$ would be ____________

Consider the frame shown in the figure.

If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematical indeterminacy would be equal to

While aligning a hill road with a ruling gradient of 6%, a horizontal curve of radius 50 m is encountered. The grade compensation (in percentage, up to two decimal places) to be provided for this case would be ______.