Friction losses - Revision history

Ok: Text replacement - "" to " $"$

2024-10-22T00:37:46Z Text replacement - "<tex>" to "<math>"

← Older revision		Revision as of 02:37, 22 October 2024
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	Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The friction loss has two parts: the length or wobble effect and the curvature effect. The tendon force <~~tex~~>P_x</math> at the distance <~~tex~~>x</math> from the jacking end can be expressed as:		Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The friction loss has two parts: the length or wobble effect and the curvature effect. The tendon force <math>P_x</math> at the distance <math>x</math> from the jacking end can be expressed as:

	<~~tex~~>P_x = P_0 e^{-(\mu \alpha + K x)}</math>		<math>P_x = P_0 e^{-(\mu \alpha + K x)}</math>

	where:		where:

	* <~~tex~~>P_0</math> = tendon forces at the jacking end		* <math>P_0</math> = tendon forces at the jacking end
	* <~~tex~~>\mu</math> = curvature friction coefficient		* <math>\mu</math> = curvature friction coefficient
	* <~~tex~~>\alpha</math> = cumulative angle (in radians) by which tangent to the tendon profile has changed between the jacking end and location x		* <math>\alpha</math> = cumulative angle (in radians) by which tangent to the tendon profile has changed between the jacking end and location x
	* <~~tex~~>K</math> = wobble friction coefficient		* <math>K</math> = wobble friction coefficient
	* <~~tex~~>x</math> = distance along tendon from jacking end to point under consideration		* <math>x</math> = distance along tendon from jacking end to point under consideration

Ok: Text replacement - "" to ""

2024-10-22T00:16:01Z

Text replacement - "</tex>" to "</math>"

← Older revision		Revision as of 02:16, 22 October 2024
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	Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The friction loss has two parts: the length or wobble effect and the curvature effect. The tendon force <tex>P_x</~~tex~~> at the distance <tex>x</~~tex~~> from the jacking end can be expressed as:		Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The friction loss has two parts: the length or wobble effect and the curvature effect. The tendon force <tex>P_x</math> at the distance <tex>x</math> from the jacking end can be expressed as:

	<tex>P_x = P_0 e^{-(\mu \alpha + K x)}</~~tex~~>		<tex>P_x = P_0 e^{-(\mu \alpha + K x)}</math>

	where:		where:

	* <tex>P_0</~~tex~~> = tendon forces at the jacking end		* <tex>P_0</math> = tendon forces at the jacking end
	* <tex>\mu</~~tex~~> = curvature friction coefficient		* <tex>\mu</math> = curvature friction coefficient
	* <tex>\alpha</~~tex~~> = cumulative angle (in radians) by which tangent to the tendon profile has changed between the jacking end and location x		* <tex>\alpha</math> = cumulative angle (in radians) by which tangent to the tendon profile has changed between the jacking end and location x
	* <tex>K</~~tex~~> = wobble friction coefficient		* <tex>K</math> = wobble friction coefficient
	* <tex>x</~~tex~~> = distance along tendon from jacking end to point under consideration		* <tex>x</math> = distance along tendon from jacking end to point under consideration

Ok at 03:04, 3 November 2010

2010-11-03T03:04:28Z

← Older revision		Revision as of 05:04, 3 November 2010
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	* Deepak Choudry: Analysis of Curved Nonprismatic Reinforced and Prestressed Concrete Box Girder Bridges, Report No. UCB/SEMM-86/13, December 1986; p. 42 (Section 3.4.1: Friction Losses)		* Deepak Choudry: Analysis of Curved Nonprismatic Reinforced and Prestressed Concrete Box Girder Bridges, Report No. UCB/SEMM-86/13, December 1986; p. 42 (Section 3.4.1: Friction Losses)
	* Jaroslav Navratil: Prestressed concrete structures, CERM, 2006; ISBN ~~8072044621~~; p. 53 (Section 4.1: Loss of prestressing due to friction)		* Jaroslav Navratil: Prestressed concrete structures, CERM, 2006; ISBN 80-7204-462-1; p. 53 (Section 4.1: Loss of prestressing due to friction)

	{{Prestressed Concrete}}		{{Prestressed Concrete}}

Ok: /* References */

2010-11-03T03:01:17Z

References

← Older revision		Revision as of 05:01, 3 November 2010
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	* Deepak Choudry: Analysis of Curved Nonprismatic Reinforced and Prestressed Concrete Box Girder Bridges, Report No. UCB/SEMM-86/13, December 1986; p. 42 (Section 3.4.1: Friction Losses)		* Deepak Choudry: Analysis of Curved Nonprismatic Reinforced and Prestressed Concrete Box Girder Bridges, Report No. UCB/SEMM-86/13, December 1986; p. 42 (Section 3.4.1: Friction Losses)
			* Jaroslav Navratil: Prestressed concrete structures, CERM, 2006; ISBN 8072044621; p. 53 (Section 4.1: Loss of prestressing due to friction)

	{{Prestressed Concrete}}		{{Prestressed Concrete}}

Ok at 20:23, 22 April 2009

2009-04-22T20:23:26Z

← Older revision		Revision as of 22:23, 22 April 2009
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	Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The friction loss has two parts: the length or wobble effect and the curvature effect. The tendon force <tex>P_x</tex> at the distance <tex>x</tex> from the jacking end can be expressed as:		Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The friction loss has two parts: the length or wobble effect and the curvature effect. The tendon force <tex>P_x</tex> at the distance <tex>x</tex> from the jacking end can be expressed as:

	<tex>P_x = P_0 e^{(\mu \alpha + K x)}</tex>		<tex>P_x = P_0 e^{-(\mu \alpha + K x)}</tex>

	where:		where:

Ok at 01:01, 18 February 2009

2009-02-18T01:01:43Z

← Older revision		Revision as of 03:01, 18 February 2009
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	* Deepak Choudry: Analysis of Curved Nonprismatic Reinforced and Prestressed Concrete Box Girder Bridges, Report No. UCB/SEMM-86/13, December 1986; p. 42 (Section 3.4.1: Friction Losses)		* Deepak Choudry: Analysis of Curved Nonprismatic Reinforced and Prestressed Concrete Box Girder Bridges, Report No. UCB/SEMM-86/13, December 1986; p. 42 (Section 3.4.1: Friction Losses)

			{{Prestressed Concrete}}

Ok: Friction loss moved to Friction losses

2009-02-18T00:59:50Z

Friction loss moved to Friction losses

← Older revision	Revision as of 02:59, 18 February 2009
(No difference)

Ok: New page: Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The frictio...

2009-02-18T00:59:32Z

New page: Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The frictio...

New page

Due to friction between the tendon and the duct during jacking, the tendon force at the jacking end is greater than the tendon force as some distance away from the jacking end. The friction loss has two parts: the length or wobble effect and the curvature effect. The tendon force <tex>P_x</tex> at the distance <tex>x</tex> from the jacking end can be expressed as:

<tex>P_x = P_0 e^{(\mu \alpha + K x)}</tex>

where:

* <tex>P_0</tex> = tendon forces at the jacking end
* <tex>\mu</tex> = curvature friction coefficient
* <tex>\alpha</tex> = cumulative angle (in radians) by which tangent to the tendon profile has changed between the jacking end and location x
* <tex>K</tex> = wobble friction coefficient
* <tex>x</tex> = distance along tendon from jacking end to point under consideration

== References ==

* Deepak Choudry: Analysis of Curved Nonprismatic Reinforced and Prestressed Concrete Box Girder Bridges, Report No. UCB/SEMM-86/13, December 1986; p. 42 (Section 3.4.1: Friction Losses)