A band of polyisoprene is to hold together a bundle of steel rods for up to 1 year (52 weeks). If the stress on the band is less than 10MPa at that stage, the band will not hold the rods tightly any longer. Determine the initial stress that must be applied to the polyisoprene band when it is slipped over the steel. A series of tests showed that an initial stress of 7MPa decreased to 6.8MPa after 6 weeks. In a simple model, the rate at which stress relaxation occurs in elastomers is related to the relaxation time λ, which is considered a property of the elastomer. The stress after time t, is given by σ = σoexp(-t/λ) where σo = original stress
A band of polyisoprene is to hold together a bundle of steel rods for up to 1 year (52 weeks). If the stress on the band is less than 10MPa at that stage, the band will not hold the rods tightly any longer. Determine the initial stress that must be applied to the polyisoprene band when it is slipped over the steel. A series of tests showed that an initial stress of 7MPa decreased to 6.8MPa after 6 weeks.
In a simple model, the rate at which stress relaxation occurs in elastomers is related to the relaxation time λ, which is considered a property of the elastomer. The stress after time t, is given by σ = σoexp(-t/λ) where σo = original stress
- A.
None of the mentioned
- B.
σ = 11.73 MPa
- C.
σ = 10.29 MPa
- D.
σ = 13.03 MPa
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