Tutorial No: $11$

Course Coordinator: Dr$.$ Visalakshi Talakokula Date of submission:$04$ Sat $2024(4$ PM$)$

A solid round bar $60$ mm in diameter and $2\mathrm{.}5$ m long is used as a strut. One end of the strut is fixed, while its other end is hinged. Find the safe compressive load, for this strut, using Euler's formula. Assume E $=200G\frac{N}{m^2}$ and factor of safety $=3.$

A slender pin ended aluminium column $1\mathrm{.}8$ m long and of circular cross$-$section is to have an outside diameter of $50$ mm $.$ Calculate the necessary internal diameter to prevent failure by buckling if the actual load applied is $13\mathrm{.}6$ kN and the critical load applied is twice the actual load. Take $Ea=70G\frac{N}{m}2.$

Find the Euler's crushing load for a hollow cylindrical cast iron column, $15$ cm external diameter and $2$ cm thick, if it is $6$ m long and hinged at both ends. $E=80$GPa. Compare this load with the crushing load as given by the Rankine's formula, using $c=550$MPa and $a=\frac{1}{600}.$ For what length of the strut of this cross$-$section does the Euler's formula ceases to apply?

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