Question

Or Rajab Fahdaw 1) A vertically positioned beam was subjected t o 85 Kg axial load. Is the load capable of buckling the beam to failure if you know that the beam is free from both ends and has the following specifications : Le 60 cm , cross section as shown modulus of elasticity 210 Gpa. 口4mn 20ma 2) On the back put the coordinates on each graph. 3) A) Name 6 pieces of information that can be obtained from tensile test. B)what are the branches of deflection of beams experiment

Answer 1

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As the two ends are free for rotation so no reaction moments will be present at the ends. Also the equivalent length of the beam will be equal to the actual length of the beam.

i. e. l_e = l = 60cm = 600 mm

As the load applied over the beam (85kg) is much more than the crippling load or the load required to buckle the beam (62.53 kg), so the beam will buckle for sure.

Note: We need to take the minimum moment of inertia in the formula. Out of the two moment of inertias (Along XX and YY axis), take the minimum one. Because if we plug minimum value of inertia in the formula , we will get minimun load require to buckle it. Means it will easily buckle along XX axis in comparison with along the YY axis.

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