Abstract
There is no industry accepted analytical model to compute the critical temperature differential for the buckling of an unloaded curved track in North American literature. In this paper, the critical temperature differential for the buckling of an unloaded curved track is formulated by incorporating a value of unity for the factor of safety in the previously developed formula, which was developed considering thermal loading only. The factor of safety was the ratio between the resistance of a tie in an unloaded track against lateral displacement in the ballast and the lateral thermal load on a tie. The derived formula of the critical temperature differential for the buckling of an unloaded curved track is simple opposed to a complicated formula endorsed in the current European literature from 1969. The new formula is also validated in this paper. The critical temperature differentials for buckling of sharp and super-sharp curves have significant implications for track design and maintenance.
Highlights
A couple of field tests were conducted on tangent track from 1932 to 1966 to determine buckling load.[1]
A minimum factor of safety of 2.5 is recommended for an unloaded curved track.[5]
It is preferable to avoid a ballasted track if DT exceeds the value of DTC computed using equation (5); otherwise, tie anchors should be used to augment lateral resistance
Summary
A couple of field tests were conducted on tangent track from 1932 to 1966 to determine buckling load.[1]. The following formula from recent literature is used to compute the critical temperature differential of a curved track4,6: 8 3 IÃ DTc =À+as3ffiffiRffiffiaffiffi3ffiffi3ffiffiffifffiffiAÃ8ffiffiffi33ffiffiffiffiffiIRffiffiÃffiffi3ffiffiffiffiffifffiffiÃffiffiffiffiffi2ffiffiffi+ffiffiffiffiffiffiffiaffi1ffi2ffi6ffiffi3ffi3ffiffiffiffiAffiIffiffi2Ãffiffiffi33ffiffiffiffiEffiFffiffiffiQ3ffiffiVffiffiWffiIffiffiÃffiffi ð1Þ
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