For the following questions answer them individually
If the normal stresses due to longitudinal and transverse loads on a bar are $$\sigma_1$$ and $$\sigma_2$$ respectively, the tangential component of the stress on an inclined plane through $$\theta^\circ$$, the longitudinal load is
If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 x 105 N/mm2) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm2, the angle of twist in radians is
In case of a simply supported rectangular beam of span L and loaded with a central load W, the length of elasto-plastic zone of the plastic hinge is
There are two hinged semicircular arches A,B and C of radii 5 m, 7.5 m, and 10 m respectively and each carries a concentrated load W at their crowns. The horizontal thrust at their supports will be in the ratio of
For determining the support reactions at A and B of a three-hinged arch, points B and C are joined and produced to intersect the load line at D and a line parallel to the load line through A at D'. Distances AD,DD' and AD' when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is
The equivalent length of a column of length L having one end fixed at the other end free is