wanyu/IteraTeR_v2 huggingface dataset:
Original:  All other factor being equal, a cluster of tubes with a diameter H and a wall thickness e, compared to a solid bar of equal volume in a material caracterised by ρ , σ , E et G , presents an apparent density ρa = 4k( 1-k )ρ with k = e/H, allowable stress σa = 4k( 1-k )σ, Young modulus , shear modulus .
Revised:  All other factor being equal, a cluster of tubes with a diameter H and a wall thickness e, compared to a solid bar of equal volume in a material caracterised by ρ , σ , E et G , presents an apparent density ρa = 4k( 1 − k )ρ with k = e/H, allowable stress σa = 4k( 1-k )σ, Young modulus , shear modulus .
Edit intent: fluency
Original:  Thus  and Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei OTTO and now Werner SOBEK, which refers to indices named Tra and Bic.
Revised:  Thus Thus and Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei OTTO and now Werner SOBEK, which refers to indices named Tra and Bic.
Edit intent: fluency
Original:  Dr. Ir. Werner SOBEK). tel : 00.49.711.685.35.99 - fax :00.49.711.685.37.89 The Tra is defined as the product of the length of the trajectory of the force Fr, (causing the collapse of the structure) onto the supports by the intensity of this force, and the Bic is the relationship of the mass of the structure with Tra.
Revised:  Dr. Ir. Werner SOBEK). tel : 00.49.711.685.35.99 – fax :00.49.711.685.37.89 The Tra is defined as the product of the length of the trajectory of the force Fr, (causing the collapse of the structure) onto the supports by the intensity of this force, and the Bic is the relationship of the mass of the structure with Tra.
Edit intent: fluency
Original:  Since ρ* is the density of the material (in kg/ m ), and α is, like W, a constant depending on the type of structure and the loading case: and ;
Revised:  Since ρ* is the density of the material (in kg/ m ), and α is, like W, a constant depending on the type of structure and the loading case: 
Edit intent: coherence
Original:  and as . - In general, the second order effects have very little influence on W, but they can have a significant impact on Δ.
Revised:  and as . In general, the second order effects have very little influence on W, but they can have a significant impact on Δ.
Edit intent: fluency
Original:  W and Δ therefore also depend on E/σ. -
Revised:  W and Δ therefore also depend on E/σ. 
Edit intent: fluency
Original:  The shearing force T may be crucial in the case of short and continuous elements, subject to bending so that W does not fall below a given value, regardless of the reduction of the slenderness L/H. However, this limitation is very theoretical because it is always possible to remove it by transferring material from the flanges to the web of the section, close to the supports. -
Revised:  The shearing force T may be crucial in the case of short and continuous elements, subject to bending so that W does not fall below a given value, regardless of the reduction of the slenderness L/H. However, this limitation is very theoretical because it is always possible to remove it by transferring material from the flanges to the web of the section, close to the supports. 
Edit intent: fluency
Original:  - The allowable stress σ is also often reduced by the need to limit the displacement δ of the structure since it is not possible to significantly alter E for a given material. -
Revised:  The allowable stress σ is also often reduced by the need to limit the displacement δ of the structure since it is not possible to significantly alter E for a given material. -
Edit intent: fluency
Original:  - The allowable stress σ is also often reduced by the need to limit the displacement δ of the structure since it is not possible to significantly alter E for a given material. -
Revised:  - The allowable stress σ is also often reduced by the need to limit the displacement δ of the structure since it is not possible to significantly alter E for a given material. 
Edit intent: fluency
Original:  Considerations regarding fatigue, ductility and dynamic forces also limit the working stress. - It is not always straightforward to establish the nature and the overall maximum intensity of the forces F(including dead weight) to which the structure is subject, which again has a direct influence on the working stress. - The connections of an element in compression or in traction are considered as hinged.
Revised:  Considerations regarding fatigue, ductility and dynamic forces also limit the working stress. It is not always straightforward to establish the nature and the overall maximum intensity of the forces F(including dead weight) to which the structure is subject, which again has a direct influence on the working stress. - The connections of an element in compression or in traction are considered as hinged.
Edit intent: fluency
Original:  Considerations regarding fatigue, ductility and dynamic forces also limit the working stress. - It is not always straightforward to establish the nature and the overall maximum intensity of the forces F(including dead weight) to which the structure is subject, which again has a direct influence on the working stress. - The connections of an element in compression or in traction are considered as hinged.
Revised:  Considerations regarding fatigue, ductility and dynamic forces also limit the working stress. - It is not always straightforward to establish the nature and the overall maximum intensity of the forces F(including dead weight) to which the structure is subject, which again has a direct influence on the working stress. The connections of an element in compression or in traction are considered as hinged.
Edit intent: fluency
Original:  Any clamping, even partial ones, introduce parasitic forces which add extra weight to the structure. - For certain types of the structures, the volume of the connections adds to the net volume defined by W. Its importance depends on the nature of the material and the context in which it is used;
Revised:  Any clamping, even partial ones, introduce parasitic forces which add extra weight to the structure. For certain types of the structures, the volume of the connections adds to the net volume defined by W. Its importance depends on the nature of the material and the context in which it is used;
Edit intent: fluency
Original:  However, its maximum displacement δ remains proportional to the span L and the morphological factor Δ, as well as the ratio between its working stress σ and the modulus of elasticity E. - the working stress is reduced by at least 25\% ;
Revised:  However, its maximum displacement δ remains proportional to the span L and the morphological factor Δ, as well as the ratio between its working stress σ and the modulus of elasticity E. the working stress is reduced by at least 25\% ;
Edit intent: fluency
Original:  - de dessiner les éléments comprimés et les assemblages avec discernement. - great attention is paid to the design of compressed parts and connections.
Revised:  de dessiner les éléments comprimés et les assemblages avec discernement. - great attention is paid to the design of compressed parts and connections.
Edit intent: fluency
Original:  - de dessiner les éléments comprimés et les assemblages avec discernement. - great attention is paid to the design of compressed parts and connections.
Revised:  - de dessiner les éléments comprimés et les assemblages avec discernement. great attention is paid to the design of compressed parts and connections.
Edit intent: fluency
Original:  This use is consistent when the related deviation c between two successive values kn and kn+1 is constant, thus : (kn+1 - kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = %DIFDELCMD < {{%%% math|(c+1)n k0. Some examples of composite structures with minimum W W '' can easily be determined in order to optimise structures made up of a number of different construction elements (see « reference book » page 100-106 ) as shown, for instance, for the wind turbine in figure 8.
Revised:  This use is consistent when the related deviation c between two successive values kn and kn+1 is constant, thus : (kn+1 − kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = %DIFDELCMD < {{%%% math|(c+1)n k0. Some examples of composite structures with minimum W W '' can easily be determined in order to optimise structures made up of a number of different construction elements (see « reference book » page 100-106 ) as shown, for instance, for the wind turbine in figure 8.
Edit intent: fluency
Original:  This use is consistent when the related deviation c between two successive values kn and kn+1 is constant, thus : (kn+1 - kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = %DIFDELCMD < {{%%% math|(c+1)n k0. Some examples of composite structures with minimum W W '' can easily be determined in order to optimise structures made up of a number of different construction elements (see « reference book » page 100-106 ) as shown, for instance, for the wind turbine in figure 8.
Revised:  This use is consistent when the related deviation c between two successive values kn and kn+1 is constant, thus : (kn+1 - kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = %DIFDELCMD < {{%%% k0. Some examples of composite structures with minimum W W '' can easily be determined in order to optimise structures made up of a number of different construction elements (see « reference book » page 100-106 ) as shown, for instance, for the wind turbine in figure 8.
Edit intent: coherence
Original:  This use is consistent when the related deviation c between two successive values kn and kn+1 is constant, thus : (kn+1 - kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = %DIFDELCMD < {{%%% math|(c+1)n k0. Some examples of composite structures with minimum W W '' can easily be determined in order to optimise structures made up of a number of different construction elements (see « reference book » page 100-106 ) as shown, for instance, for the wind turbine in figure 8.
Revised:  This use is consistent when the related deviation c between two successive values kn and kn+1 is constant, thus : (kn+1 - kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = %DIFDELCMD < {{%%% math|(c+1)n k0. Some examples of composite structures with minimum W W can easily be determined in order to optimise structures made up of a number of different construction elements (see « reference book » page 100-106 ) as shown, for instance, for the wind turbine in figure 8.
Edit intent: fluency
Original:  This use is consistent when the related deviation c between two successive values kn and kn+1 is constant, thus : (kn+1 - kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = %DIFDELCMD < {{%%% math|(c+1)n k0. Some examples of composite structures with minimum W W '' can easily be determined in order to optimise structures made up of a number of different construction elements (see « reference book » page 100-106 ) as shown, for instance, for the wind turbine in figure 8.
Revised:  This use is consistent when the related deviation c between two successive values kn and kn+1 is constant, thus : (kn+1 - kn) / kn = c or kn+1 = (c + 1) kn or kn+1 = %DIFDELCMD < {{%%% math|(c+1)n k0. Some examples of composite structures with minimum W W '' can easily be determined in order to optimise structures made up of a number of different construction elements (see « reference book » pages 100–106 ) as shown, for instance, for the wind turbine in figure 8.
Edit intent: fluency
Original:  The optimisation of the King Cross truss for the facade of the Europa building in Brussels (see referenceJean ATTALI, EUROPA, European Council and Council of the European Union, Lannoo-Racine, Tielt-Bruxelles, 2013, 256 p. (ISBN 978 940 1414494) (www.samynandpartners.com for online e-book) page 93-101 for detailed analysis) is another example.
Revised:  The optimisation of the King Cross truss for the facade of the Europa building in Brussels (see referenceJean ATTALI, EUROPA, European Council and Council of the European Union, Lannoo-Racine, Tielt-Bruxelles, 2013, 256 p. (ISBN 978 940 1414494) (www.samynandpartners.com for online e-book) pages 93–101 for detailed analysis) is another example.
Edit intent: clarity
Original: The "reference book",Philippe SAMYN , Étude de la morphologie des structures à l’aide des indicateurs de volume et de déplacement, Académie royale de Belgique, Bruxelles, 2004, 482 p;
Revised: The "reference book",Philippe Samyn , Étude de la morphologie des structures à l’aide des indicateurs de volume et de déplacement, Académie royale de Belgique, Bruxelles, 2004, 482 p;
Edit intent: fluency
Original:  www.samynandpartners.com (for online e-book), (ISBN 2-8031-0201-3). since the reference thesis,Philippe SAMYN , Étude comparée du volume et du déplacement de structures bidimensionnelles, sous charges verticales entre deux appuis vers un outil d'évaluation et de prédimensionnement des structures, Tome I: Mémoire, 175 p.;
Revised:  www.samynandpartners.com (for online e-book), (ISBN 2-8031-0201-3). since the reference thesis,Philippe Samyn , Étude comparée du volume et du déplacement de structures bidimensionnelles, sous charges verticales entre deux appuis vers un outil d'évaluation et de prédimensionnement des structures, Tome I: Mémoire, 175 p.;
Edit intent: fluency
Original:  It echos the work of M.F. ASHBY : "Materials Selection in Mechanical Design" (1992).
Revised:  It echos the work of M.F. Ashby : "Materials Selection in Mechanical Design" (1992).
Edit intent: fluency
Original: M.F. ASHBY , Materials Selection in Mechanical Design, 311 pages, 1997.
Revised: M.F. Ashby , Materials Selection in Mechanical Design, 311 pages, 1997.
Edit intent: fluency
Original:  Oxford (first edition in 1992 by Pergamon Press Ltd), UK. He analyses {Ge} and {Ma} separately as, for his studies, {Ma} relates to a large amount of the materials physical propreties . Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei OTTO and now Werner SOBEK , which refers to indices named Tra and Bic.
Revised:  Oxford (first edition in 1992 by Pergamon Press Ltd), UK. He analyses {Ge} and {Ma} separately as, for his studies, {Ma} relates to a large amount of the materials physical properties . Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei OTTO and now Werner SOBEK , which refers to indices named Tra and Bic.
Edit intent: fluency
Original:  Oxford (first edition in 1992 by Pergamon Press Ltd), UK. He analyses {Ge} and {Ma} separately as, for his studies, {Ma} relates to a large amount of the materials physical propreties . Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei OTTO and now Werner SOBEK , which refers to indices named Tra and Bic.
Revised:  Oxford (first edition in 1992 by Pergamon Press Ltd), UK. He analyses {Ge} and {Ma} separately as, for his studies, {Ma} relates to a large amount of the materials physical propreties . Different and complementary, it can also be placed alongside work carried out since 1969 by the Institut Für Leichte Flächentragwerke in Stuttgart under the direction of Frei OTTO and now Werner SOBEK , which refers to indices named Tra and Bic.
Edit intent: fluency
Original:  Oxford (first edition in 1992 by Pergamon Press Ltd), UK. He analyses {Ge} and {Ma} separately as, for his studies, {Ma} relates to a large amount of the materials physical propreties . Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei OTTO and now Werner SOBEK , which refers to indices named Tra and Bic.
Revised:  Oxford (first edition in 1992 by Pergamon Press Ltd), UK. He analyses {Ge} and {Ma} separately as, for his studies, {Ma} relates to a large amount of the materials physical propreties . Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei Otto and now Werner SOBEK , which refers to indices named Tra and Bic.
Edit intent: fluency
Original:  Oxford (first edition in 1992 by Pergamon Press Ltd), UK. He analyses {Ge} and {Ma} separately as, for his studies, {Ma} relates to a large amount of the materials physical propreties . Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei OTTO and now Werner SOBEK , which refers to indices named Tra and Bic.
Revised:  Oxford (first edition in 1992 by Pergamon Press Ltd), UK. He analyses {Ge} and {Ma} separately as, for his studies, {Ma} relates to a large amount of the materials physical propreties . Different and complementary, it can also be placed alongside work carried out since 1969 by the INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE in Stuttgart under the direction of Frei OTTO and now Werner SobekK , which refers to indices named Tra and Bic.
Edit intent: fluency
Original:  IL PUBLIKATIONEN : INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE, UNIVERSITÄT STUTTGART plaffenwaldring, 14, 70569 STUTTGART ;
Revised:  Il Publikationen: Institut Für Leichte Flächentragwerke, Universität Stuttgart, plaffenwaldring, 14, 70569 STUTTGART ;
Edit intent: fluency
Original:  IL PUBLIKATIONEN : INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE, UNIVERSITÄT STUTTGART plaffenwaldring, 14, 70569 STUTTGART ;
Revised:  IL PUBLIKATIONEN : INSTITUT FÜR LEICHTE FLÄCHENTRAGWERKE, UNIVERSITÄT STUTTGART plaffenwaldring, 14, 70569 Stuttgart ;
Edit intent: clarity
Original:  Dr. Ir. Werner SOBEK ). tel : 00.49.711.685.35.99 – fax : 00.49.711.685.37.89 The Tra is defined as the product of the length of the trajectory of the force Fr, (causing the collapse of the structure) onto the supports by the intensity of this force, and the Bic is the relationship of the mass of the structure with Tra.
Revised:  Dr. Ir. Werner Sobek ). tel : 00.49.711.685.35.99 – fax : 00.49.711.685.37.89 The Tra is defined as the product of the length of the trajectory of the force Fr, (causing the collapse of the structure) onto the supports by the intensity of this force, and the Bic is the relationship of the mass of the structure with Tra.
Edit intent: fluency
Original:  Dr. Ir. Werner SOBEK ). tel : 00.49.711.685.35.99 – fax : 00.49.711.685.37.89 The Tra is defined as the product of the length of the trajectory of the force Fr, (causing the collapse of the structure) onto the supports by the intensity of this force, and the Bic is the relationship of the mass of the structure with Tra.
Revised:  Dr. Ir. Werner SOBEK ). tel 00.49.711.685.35.99 – fax : 00.49.711.685.37.89 The Tra is defined as the product of the length of the trajectory of the force Fr, (causing the collapse of the structure) onto the supports by the intensity of this force, and the Bic is the relationship of the mass of the structure with Tra.
Edit intent: fluency
Original:  Dr. Ir. Werner SOBEK ). tel : 00.49.711.685.35.99 – fax : 00.49.711.685.37.89 The Tra is defined as the product of the length of the trajectory of the force Fr, (causing the collapse of the structure) onto the supports by the intensity of this force, and the Bic is the relationship of the mass of the structure with Tra.
Revised:  Dr. Ir. Werner SOBEK ). tel : 00.49.711.685.35.99 – fax 00.49.711.685.37.89 The Tra is defined as the product of the length of the trajectory of the force Fr, (causing the collapse of the structure) onto the supports by the intensity of this force, and the Bic is the relationship of the mass of the structure with Tra.
Edit intent: fluency
Original:  It appears that only V. QUINTAS RIPOLLValentin Quintas RIPOLL , Pro.
Revised:  It appears that only V. Quintas RipollValentin Quintas Ripoll , Pro.
Edit intent: fluency
Original: ,Valentin Quintas RIPOLL , Sobre las formas de minimo volumen de las celosías de sección constante, Informes de la Construcción, Vol 43, n°418, marzo/abril 1992, pages 61 à 77, Madrid. and W. ZALEWSKI and St. KUSW. ZALEWSKI , St. KUS , Shaping structures for least Weight, proceedings of the I.A.S.S International Congress on Shells and Spatial Structures, Stuttgart, 1992, pages 376 à 383. mentioned the volume indicator W without examining it in depth.
Revised: ,Valentin Quintas Ripoll , Sobre las formas de minimo volumen de las celosías de sección constante, Informes de la Construcción, Vol 43, n°418, marzo/abril 1992, pages 61 à 77, Madrid. and W. ZALEWSKI and St. KUSW. ZALEWSKI , St. KUS , Shaping structures for least Weight, proceedings of the I.A.S.S International Congress on Shells and Spatial Structures, Stuttgart, 1992, pages 376 à 383. mentioned the volume indicator W without examining it in depth.
Edit intent: fluency
Original: ,Valentin Quintas RIPOLL , Sobre las formas de minimo volumen de las celosías de sección constante, Informes de la Construcción, Vol 43, n°418, marzo/abril 1992, pages 61 à 77, Madrid. and W. ZALEWSKI and St. KUSW. ZALEWSKI , St. KUS , Shaping structures for least Weight, proceedings of the I.A.S.S International Congress on Shells and Spatial Structures, Stuttgart, 1992, pages 376 à 383. mentioned the volume indicator W without examining it in depth.
Revised: ,Valentin Quintas RIPOLL , Sobre las formas de minimo volumen de las celosías de sección constante, Informes de la Construcción, Vol 43, n°418, marzo/abril 1992, pages 61 à 77, Madrid. and W. Zalewski and St. KUSW. ZALEWSKI , St. KUS , Shaping structures for least Weight, proceedings of the I.A.S.S International Congress on Shells and Spatial Structures, Stuttgart, 1992, pages 376 à 383. mentioned the volume indicator W without examining it in depth.
Edit intent: fluency
Original: ,Valentin Quintas RIPOLL , Sobre las formas de minimo volumen de las celosías de sección constante, Informes de la Construcción, Vol 43, n°418, marzo/abril 1992, pages 61 à 77, Madrid. and W. ZALEWSKI and St. KUSW. ZALEWSKI , St. KUS , Shaping structures for least Weight, proceedings of the I.A.S.S International Congress on Shells and Spatial Structures, Stuttgart, 1992, pages 376 à 383. mentioned the volume indicator W without examining it in depth.
Revised: ,Valentin Quintas RIPOLL , Sobre las formas de minimo volumen de las celosías de sección constante, Informes de la Construcción, Vol 43, n°418, marzo/abril 1992, pages 61 à 77, Madrid. and W. ZALEWSKI and St. KusW. Zalewski , St. KUS , Shaping structures for least Weight, proceedings of the I.A.S.S International Congress on Shells and Spatial Structures, Stuttgart, 1992, pages 376 à 383. mentioned the volume indicator W without examining it in depth.
Edit intent: fluency
Original: ,Valentin Quintas RIPOLL , Sobre las formas de minimo volumen de las celosías de sección constante, Informes de la Construcción, Vol 43, n°418, marzo/abril 1992, pages 61 à 77, Madrid. and W. ZALEWSKI and St. KUSW. ZALEWSKI , St. KUS , Shaping structures for least Weight, proceedings of the I.A.S.S International Congress on Shells and Spatial Structures, Stuttgart, 1992, pages 376 à 383. mentioned the volume indicator W without examining it in depth.
Revised: ,Valentin Quintas RIPOLL , Sobre las formas de minimo volumen de las celosías de sección constante, Informes de la Construcción, Vol 43, n°418, marzo/abril 1992, pages 61 à 77, Madrid. and W. ZALEWSKI and St. KUSW. ZALEWSKI , St. Kus , Shaping structures for least Weight, proceedings of the I.A.S.S International Congress on Shells and Spatial Structures, Stuttgart, 1992, pages 376 à 383. mentioned the volume indicator W without examining it in depth.
Edit intent: fluency