A bracket connection is made with four bolts of $$10$$ $$mm$$ diameter and supports a load of $$10$$ $$kN$$ a an eccentricity of $$100$$ $$mm.$$ The maximum force to be resisted by any bolt will be

A steel flat of rectangular section of size $$70 \times 6\,\,mm$$ is connected to a gusset plate by three bolts each having a shear capacity of $$15$$ $$kN$$ in holes having diameter $$11.5$$ $$mm.$$ If the allowable tensile stress in the flat is $$150$$ $$MPa,$$ the maximum tension that can be applied to the flat is

For an isotropic material, the relationship between the young’s modulus (E), shear modulus (G) and Poisson’s ratio (μ) is given by

A metal bar of length 100mm is inserted between two rigid supports and its temperature is increased by $$10^o$$C. If the coefficient of thermal expansion is 12 x$$10^{-6}$$ per $$^o$$C and the Young’s modulus is 2 x $$10^{5}$$ MPa, the stress in the bar is