A simply supported beam has a span of 4 m, a rectangular cross section 100 mm wide by 200 mm deep and carries a uniformly distributed load of intensity w N/mm over its complete span. A rectangular strain gauge rosette positioned at mid-span on the upper surface of the beam and in the vertical plane of symmetry recorded the following values of strain: e =-900 x 10-6, ep = -200 × 10-6, ec =+300 × 10-6 If Young's modulus E is 200000 N/mm² calculate the value of Poisson's ratio, the principal stresses at the point and hence the load intensity. Ans. v=0.33, o1 =0, 0=-180 N/mm², w=60 N/mm.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A simply supported beam has a span of 4 m, a rectangular cross section 100 mm wide by 200 mm
deep and carries a uniformly distributed load of intensity w N/mm over its complete span. A
rectangular strain gauge rosette positioned at mid-span on the upper surface of the beam and in the
vertical plane of symmetry recorded the following values of strain:
€ = -900 x 10-6, €r = -200 × 10-6, ɛc =+300 × 10-6
If Young's modulus E is 200000 N/mm? calculate the value of Poisson's ratio, the principal
stresses at the point and hence the load intensity.
Ans. v=0.33, o1=0, 01=-180 N/mm², w=60 N/mm.
Transcribed Image Text:A simply supported beam has a span of 4 m, a rectangular cross section 100 mm wide by 200 mm deep and carries a uniformly distributed load of intensity w N/mm over its complete span. A rectangular strain gauge rosette positioned at mid-span on the upper surface of the beam and in the vertical plane of symmetry recorded the following values of strain: € = -900 x 10-6, €r = -200 × 10-6, ɛc =+300 × 10-6 If Young's modulus E is 200000 N/mm? calculate the value of Poisson's ratio, the principal stresses at the point and hence the load intensity. Ans. v=0.33, o1=0, 01=-180 N/mm², w=60 N/mm.
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