A square iron beam, 1.2 m long built in at it ends, is subjected to a point load of 100 kg at the center of the beam. The maximum allowable deflection of the beam is limited to 1.2 mm. If the iron beam is replaced with a square composite beam calculate:

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter10: Statically Indeterminate Beams
Section: Chapter Questions
Problem 10.3.2P: A fixed-end b earn is subjected to a point load at mid-span. The beam has a rectangular cross...
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Question 4
A square iron beam, 1.2 m long built in at it ends, is subjected to a point load of 100 kg at
the center of the beam. The maximum allowable deflection of the beam is limited to
1.2 mm. If the iron beam is replaced with a square composite beam calculate:
4.1 The cross sectional dimensions of the composite beam manufactured from polycarbonate
reinforced with high strength carbon fibers, with a fiber volume ratio of x = 20 %, which
will not deflect more than the maximum allowable deflection of 1.2 mm.
4.2 The weight saving, if the iron beam is replaced by the composite beam.
Take Eiron = 190 GPa and the density of polycarbonate as 1.2 g/cm3
Transcribed Image Text:Question 4 A square iron beam, 1.2 m long built in at it ends, is subjected to a point load of 100 kg at the center of the beam. The maximum allowable deflection of the beam is limited to 1.2 mm. If the iron beam is replaced with a square composite beam calculate: 4.1 The cross sectional dimensions of the composite beam manufactured from polycarbonate reinforced with high strength carbon fibers, with a fiber volume ratio of x = 20 %, which will not deflect more than the maximum allowable deflection of 1.2 mm. 4.2 The weight saving, if the iron beam is replaced by the composite beam. Take Eiron = 190 GPa and the density of polycarbonate as 1.2 g/cm3
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