Problem 4. Two strain gages are mounted on a thin-walled cylindrical pressure vessel. One strain gage is oriented parallel to the longitudinal axis of the thin-walled cylindrical pressure vessel while the other strain gage is perpendicular to the first. The tank has radius r= 20 in. and wall thickness of t= 0.4 in. It is made from a material that has Young's Modulus E = 15x10° psi and Poisson's Ratio v = 0.31. The strain gages in. report the following after the tank is pressurized: & =133.0µ and & = 591.5µ- in. in. in. E From Hooke's Law: o =: (1-v²) E (& + vɛH) and o, =- (1-v²) (&n + vɛ_ ) Determine: Gage Pressurep

Structural Analysis
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Chapter2: Loads On Structures
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Problem 4. Two strain gages are mounted on a thin-walled cylindrical pressure vessel.
One strain gage is oriented parallel to the longitudinal axis of the thin-walled cylindrical
pressure vessel while the other strain gage is perpendicular to the first. The tank has
radius r= 20 in. and wall thickness of t= 0.4 in. It is made from a material that has
%3D
Young's Modulus E = 15x10® psi and Poisson's Ratio v =0.31. The strain gages
in.
report the following after the tank is pressurized: & = 133.0µ and ɛy = 591.5µ.
in.
in.
in.
E
(& + v&µ) and ơ
E
From Hooke's Law: 0
(1-v*)
(1-v²)
Determine:
Gage Pressure p
Transcribed Image Text:Problem 4. Two strain gages are mounted on a thin-walled cylindrical pressure vessel. One strain gage is oriented parallel to the longitudinal axis of the thin-walled cylindrical pressure vessel while the other strain gage is perpendicular to the first. The tank has radius r= 20 in. and wall thickness of t= 0.4 in. It is made from a material that has %3D Young's Modulus E = 15x10® psi and Poisson's Ratio v =0.31. The strain gages in. report the following after the tank is pressurized: & = 133.0µ and ɛy = 591.5µ. in. in. in. E (& + v&µ) and ơ E From Hooke's Law: 0 (1-v*) (1-v²) Determine: Gage Pressure p
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