A beam has a rectangular thin-walled box section 50 mm wide by 100 mm deep and has walls 2 mm thick. At a particular section the beam carries a bending moment M and a torque T. A rectangular strain gauge rosette positioned on the top horizontal wall of the beam at this section recorded the following values of strain: e, = 1000×10-6, ep = -200×10-“, ɛc = -300×10-6. If the strain gauge 'a' is aligned with the longitudinal axis of the beam and the strain gauge 'c' is perpendicular to the longitudinal axis, calculate the values of M and T. Take E= 200 000 N/mm² and v=0.3. Ans. M=3333 Nm, T=1692 Nm.
A beam has a rectangular thin-walled box section 50 mm wide by 100 mm deep and has walls 2 mm thick. At a particular section the beam carries a bending moment M and a torque T. A rectangular strain gauge rosette positioned on the top horizontal wall of the beam at this section recorded the following values of strain: e, = 1000×10-6, ep = -200×10-“, ɛc = -300×10-6. If the strain gauge 'a' is aligned with the longitudinal axis of the beam and the strain gauge 'c' is perpendicular to the longitudinal axis, calculate the values of M and T. Take E= 200 000 N/mm² and v=0.3. Ans. M=3333 Nm, T=1692 Nm.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A beam has a rectangular thin-walled box section 50 mm wide by 100 mm deep and has walls 2 mm
thick. At a particular section the beam carries a bending moment M and a torque T. A rectangular
strain gauge rosette positioned on the top horizontal wall of the beam at this section recorded the
following values of strain: e, = 1000×10-6, ɛ, = -200×10-, ɛc = -300×10-6. If the strain
gauge 'a' is aligned with the longitudinal axis of the beam and the strain gauge c' is perpendicular to
the longitudinal axis, calculate the values of M and T. Take E= 200 000 N/mm² and v=0.3.
Ans. M=3333 Nm, T=1692 Nm.
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