MECHANICS OF MATERIALS 7TH EDITION BEER SOLUTION MANUAL PDF



Mechanics Of Materials 7th Edition Beer Solution Manual Pdf

Mechanics Of Materials 6th Edition Solution Manual Beer Pdf. If you want to go for online solutions, then you can see the solutions from Chegg.com. Actually no one wants online solution manuals, I guess. If you have an account in SlideShare.net , you’ll get it there and download also. The link is- Solution, (b) Show that the same elongation would be obtained if the cable were horizontaland if a force equal to half of its weight were applied at each end.SOLUTION(a) For element at point identified by coordinate y, P weight of portion below the point gA(L y) d Pdy gA(L y)dy g(L y) dy EA EA E L g(L y) dy g Ly 1 y2 L 0 E E 2 0 g L2 L 2 1 gL2 E 2 2 E (b) Total weight: W gAL F EA EA 1 gL2 1 gAL F 1W L L.

Mechanics of Materials Chapter 2 Scribd

Solution Manual Mechanics of Materials 7th Edition Beer. Solution manual of mechanics of material by beer johnston Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website., Sign in. Mechanics of Materials 4th Edition - Ferdinand Beer, E. Russell Johnston and John DeWolf.pdf - Google Drive. Sign in.

material to be used is a bronze for which E 14 × 106 psi. Determine the largest load that can be applied, knowing that the normal stress must not exceed 18 ksi and th at the decrease in length of the block should be at most 0.12% of its original length. SOLUTION … 11/07/2018 · This is completed downloadable Solution Manual for Mechanics of Materials 7th Edition by Ferdinand P. Beer,‎ E. Russell Johnston Jr,‎ John T.DeWolf, ‎ David F. Mazurek. Instant Download Solution Manual for Mechanics of Materials 7th Edition by Ferdinand P.Beer , E. Russell Johnston Jr ,‎ John T. DeWolf ,‎ David F. Mazurek.

Get This Link to read/download book >>> Mechanics of Materials, 7th Edition Mechanics of Materials is the uncontested leader for the teaching of solid mechanics. Used by thousands of students around the globe since publication, Mechanics of Materi... INSTRUCTOR’S SOLUTIONS MANUAL FOR MECHANICS OF MATERIALS 7TH EDITION BY BEER. The solutions manual holds the correct answers to all questions within your textbook, therefore, It could save you time and effort.

01/03/2017В В· Solution manual Mechanics Of Materials Edition 4 Beer, Johnston, De WolfSolucionario mecanica de materiales edicion 4 Skip to main content This banner text can have markup . Solution Manual Mechanics of Materials 7th Edition Beer. Seventh Edition Mechanics of Materials Ferdinand P. Beer Late of Lehigh University E. Russ...

Get This Link to read/download book >>> Mechanics of Materials, 7th Edition Mechanics of Materials is the uncontested leader for the teaching of solid mechanics. Used by thousands of students around the globe since publication, Mechanics of Materi... Access Loose Leaf for Mechanics of Materials 7th Edition Chapter 3 solutions now. Our solutions are written by Chegg experts so you can be assured of the highest quality!

NOTE: This product includes the Mechanics of Materials 7th edition PDF eBook and the Mechanics of Materials 7e instructor’s solution manual (ISM). No online codes … Solution manual for Mechanics of Materials 7th Edition by Beer Johnston DeWolf and Mazurek

01/03/2017В В· Solution manual Mechanics Of Materials Edition 4 Beer, Johnston, De WolfSolucionario mecanica de materiales edicion 4 Skip to main content This banner text can have markup . Mechanics Of Materials 5th Beer Johnston Solution Manual.pdf -- DOWNLOAD mechanics of materials beer and johnston 6th edition pdf solution manualmechanics of materials 6th edition beer johnston solution manualsolution manual mechanics of materials 6th edition beer johnston.pdf freebeer and johnston mechanics of materials solution manualbeer and johnston mechanics of materials 5th edition

Mechanics of Materials Chapter 1 - Free download as PDF File (.pdf) or read online for free. Get This Link to read/download book >>> Mechanics of Materials, 7th Edition Mechanics of Materials is the uncontested leader for the teaching of solid mechanics. Used by thousands of students around the globe since publication, Mechanics of Materi...

Mechanics Of Materials 5th Beer Johnston Solution Manualpdf

mechanics of materials 7th edition beer solution manual pdf

Mechanics Of Materials 7th Edition Beer. Free Download. problem 2.45 (continued) pa 5 p 1 p 21 p pa 0.525p 8 2 5 40 pc 0.275p pc 3 p 1 p 11 p 8 2 5 40check:pa pb pc 1.000p ok proprietary material., Description This is completed downloadable of Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual Instant download Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual pdf docx epub after payment..

Mechanics of Materials 8th Edition by Gere and Goodno. If you want to go for online solutions, then you can see the solutions from Chegg.com. Actually no one wants online solution manuals, I guess. If you have an account in SlideShare.net , you’ll get it there and download also. The link is- Solution, FLIP HTML5 is a Interactive html5 digital publishing platform that makes it easy to create interactive digital publications, including magazines, catalogs, newspapers, books, and more online..

Mechanics Of Materials 5th Beer Johnston Solution Manualpdf

mechanics of materials 7th edition beer solution manual pdf

Mechanics Of Materials 7th Edition Beer Pdf.pdf Free. Solution manual of mechanics of material by beer johnston Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. Access Loose Leaf for Mechanics of Materials 7th Edition Chapter 3 solutions now. Our solutions are written by Chegg experts so you can be assured of the highest quality!.

mechanics of materials 7th edition beer solution manual pdf


29/05/2019В В· Download Mechanics Of Materials Beer Johnston 6th Edition Solutions book pdf free download link or read online here in PDF. Read online Mechanics Of Materials Beer Johnston 6th Edition Solutions book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library Mechanics of Materials 7th Edition Beer Solutions Manual - Test bank, Solutions manual, exam bank, quiz bank, answer key for textbook download instantly!

mechanics of materials beer solution manual mechanics of materials 7th edition solutions slideshare mechanics of materials 7th edition beer solution manual pdf chapter 3 mechanics of materials 7th edition beer pdf download free Solution Manual Mechanics of Materials 7th Edition Beer. Seventh Edition Mechanics of Materials Ferdinand P. Beer Late of Lehigh University E. Russ...

beer-mechanics-of-materials-5e-solutions-chapter-4 Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. Mechanics of Materials Chapter 1 - Free download as PDF File (.pdf) or read online for free.

29/05/2019В В· Download Mechanics Of Materials Beer Johnston 6th Edition Solutions book pdf free download link or read online here in PDF. Read online Mechanics Of Materials Beer Johnston 6th Edition Solutions book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library Solution Manual Mechanics of Materials 7th Edition Beer. Seventh Edition Mechanics of Materials Ferdinand P. Beer Late of Lehigh University E. Russ...

Prepare to receive your Mechanics of Materials Solution Manual in the next moment. If you have any questions, or would like a receive a sample chapter before your purchase, please contact us at support@testbanknew.com. Mechanics of Materials Solution Manual. Mechanics of Materials Beer DeWolf 7th Edition Solutions Manual ISBN: 0073398233 beer-mechanics-of-materials-5e-solutions-chapter-4 Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website.

Description This is completed downloadable of Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual Instant download Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual pdf docx epub after payment. material to be used is a bronze for which E 14 × 106 psi. Determine the largest load that can be applied, knowing that the normal stress must not exceed 18 ksi and th at the decrease in length of the block should be at most 0.12% of its original length. SOLUTION …

Description This is completed downloadable of Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual Instant download Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual pdf docx epub after payment. 01/03/2017В В· Solution manual Mechanics Of Materials Edition 4 Beer, Johnston, De WolfSolucionario mecanica de materiales edicion 4 Skip to main content This banner text can have markup .

INSTRUCTOR’S SOLUTIONS MANUAL FOR MECHANICS OF MATERIALS 7TH EDITION BY BEER. The solutions manual holds the correct answers to all questions within your textbook, therefore, It could save you time and effort. Mechanics of Materials 7th Edition Beer Solutions Manual - Test bank, Solutions manual, exam bank, quiz bank, answer key for textbook download instantly!

mechanics of materials 7th edition beer solution manual pdf

material to be used is a bronze for which E 14 × 106 psi. Determine the largest load that can be applied, knowing that the normal stress must not exceed 18 ksi and th at the decrease in length of the block should be at most 0.12% of its original length. SOLUTION … Solution manual for Mechanics of Materials 7th Edition by Beer Johnston DeWolf and Mazurek

Mechanics of Materials 7th Edition Beer Solutions Manual

mechanics of materials 7th edition beer solution manual pdf

Mechanics of Materials Chapter 1 Scribd. NOTE: This product includes the Mechanics of Materials 7th edition PDF eBook and the Mechanics of Materials 7e instructor’s solution manual (ISM). No online codes …, Mechanics Of Materials 5th Beer Johnston Solution Manual.pdf -- DOWNLOAD mechanics of materials beer and johnston 6th edition pdf solution manualmechanics of materials 6th edition beer johnston solution manualsolution manual mechanics of materials 6th edition beer johnston.pdf freebeer and johnston mechanics of materials solution manualbeer and johnston mechanics of materials 5th edition.

Solution Manual Strength of Materials 7th Edition StuDocu

Mechanics Of Materials 7th Edition Beer. Free Download. Mechanics-materials-7th-edition-beer-solutions-manual.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily., 01/03/2017В В· Solution manual Mechanics Of Materials Edition 4 Beer, Johnston, De WolfSolucionario mecanica de materiales edicion 4 Skip to main content This banner text can have markup ..

Solution Manual Mechanics of Materials 7th Edition Beer. Seventh Edition Mechanics of Materials Ferdinand P. Beer Late of Lehigh University E. Russ... Solution manual of mechanics of material by beer johnston Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website.

Solution 1.3-6 Tensile test of a plastic. Using the stress-strain data given in the problem statement, plot the stress-strain curve: PL proportional limit PL 47 MPa Modulus of elasticity (slope) 2.4 GPa Y yield stress at 0.2% offset Y 53 MPa Material is brittle, because the strain after the proportional limit is exceeded is relatively small Mechanics Of Materials 8th Edition Beer.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily.

05/06/2018 · Mechanics Of Materials 7th Edition Beer. Item Preview remove-circle Share or Embed This Item. EMBED EMBED (for wordpress.com hosted blogs and archive.org item tags If you want to go for online solutions, then you can see the solutions from Chegg.com. Actually no one wants online solution manuals, I guess. If you have an account in SlideShare.net , you’ll get it there and download also. The link is- Solution

Mechanics Of Materials 8th Edition Beer.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily. Get This Link to read/download book >>> Mechanics of Materials, 7th Edition Mechanics of Materials is the uncontested leader for the teaching of solid mechanics. Used by thousands of students around the globe since publication, Mechanics of Materi...

11/09/2017 · PROBLEM 2.3 An 18-m-long steel wire of 5-mm diameter is to be used in the manufacture of a prestressed concrete beam. It is observed that the … Unlike static PDF Mechanics Of Materials 7th Edition solution manuals or printed answer keys, our experts show you how to solve each problem step-by-step. No need to wait for office hours or assignments to be graded to find out where you took a wrong turn. You can check your reasoning as you tackle a problem using our interactive solutions viewer.

mechanics of materials beer solution manual mechanics of materials 7th edition solutions slideshare mechanics of materials 7th edition beer solution manual pdf chapter 3 mechanics of materials 7th edition beer pdf download free Mechanics Of Materials Beer 7th Edition Solutions Manual Pdf pro.txt - Download as Text file (.txt), PDF File (.pdf) or read online. (PDF)solution manual for

Mechanics Of Materials 8th Edition Beer.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily. Get This Link to read/download book >>> Mechanics of Materials, 7th Edition Mechanics of Materials is the uncontested leader for the teaching of solid mechanics. Used by thousands of students around the globe since publication, Mechanics of Materi...

If you want to go for online solutions, then you can see the solutions from Chegg.com. Actually no one wants online solution manuals, I guess. If you have an account in SlideShare.net , you’ll get it there and download also. The link is- Solution Mechanics Of Materials Beer 7th Edition Solutions Manual Pdf pro.txt - Download as Text file (.txt), PDF File (.pdf) or read online. (PDF)solution manual for

Solution manual for Mechanics of Materials 7th Edition by Beer Johnston DeWolf and Mazurek save Save Mechanics of Materials Chapter 2 For Later. Info. Embed. Share. Print. Related titles. Carousel Previous Carousel Next. Chapter 03 Solutions Mechanics of Materials 6th Edition. Mechanics of Materials Chapter 1. Beer Johnston Mechanics of Materials Solution Manual 6th PDF. Mechanics of Materials 7th Edition Beer Johnson Chapter 4 . Solutions Chapter 4 . Strengths of Materials - CH.10

Unlike static PDF Loose Leaf For Mechanics Of Materials 7th Edition solution manuals or printed answer keys, our experts show you how to solve each problem step-by-step. No need to wait for office hours or assignments to be graded to find out where you took a wrong turn. You can check your reasoning as you tackle a problem using our interactive solutions viewer. Mechanics Of Materials 5th Beer Johnston Solution Manual.pdf -- DOWNLOAD mechanics of materials beer and johnston 6th edition pdf solution manualmechanics of materials 6th edition beer johnston solution manualsolution manual mechanics of materials 6th edition beer johnston.pdf freebeer and johnston mechanics of materials solution manualbeer and johnston mechanics of materials 5th edition

Description This is completed downloadable of Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual Instant download Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual pdf docx epub after payment. Mechanics Of Materials Beer 7th Edition Solutions Manual Pdf pro.txt - Download as Text file (.txt), PDF File (.pdf) or read online. (PDF)solution manual for

Description This is completed downloadable of Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual Instant download Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual pdf docx epub after payment. Solution manual for Mechanics of Materials 7th Edition by Beer Johnston DeWolf and Mazurek

Mechanics of materials Beer and Johnston, 6th ed - Solutions Solution manual of mechanics of material by beer johnston Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website.

29/05/2019В В· Download Mechanics Of Materials Beer Johnston 6th Edition Solutions book pdf free download link or read online here in PDF. Read online Mechanics Of Materials Beer Johnston 6th Edition Solutions book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library mechanics of materials beer solution manual mechanics of materials 7th edition solutions slideshare mechanics of materials 7th edition beer solution manual pdf chapter 3 mechanics of materials 7th edition beer pdf download free

(PDF) Solution manual for Mechanics of Materials 7th. Mechanics of Materials Chapter 1 - Free download as PDF File (.pdf) or read online for free., Solution manual for Mechanics of Materials 7th Edition by Beer Johnston DeWolf and Mazurek.

Mechanics of Materials 8th Edition by Gere and Goodno

mechanics of materials 7th edition beer solution manual pdf

Solution Manual Strength of Materials 7th Edition StuDocu. FLIP HTML5 is a Interactive html5 digital publishing platform that makes it easy to create interactive digital publications, including magazines, catalogs, newspapers, books, and more online., (b) Show that the same elongation would be obtained if the cable were horizontaland if a force equal to half of its weight were applied at each end.SOLUTION(a) For element at point identified by coordinate y, P weight of portion below the point gA(L y) d Pdy gA(L y)dy g(L y) dy EA EA E L g(L y) dy g Ly 1 y2 L 0 E E 2 0 g L2 L 2 1 gL2 E 2 2 E (b) Total weight: W gAL F EA EA 1 gL2 1 gAL F 1W L L.

Where can I download Solution Manual for Mechanics of. Description This is completed downloadable of Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual Instant download Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual pdf docx epub after payment., Unlike static PDF Loose Leaf For Mechanics Of Materials 7th Edition solution manuals or printed answer keys, our experts show you how to solve each problem step-by-step. No need to wait for office hours or assignments to be graded to find out where you took a wrong turn. You can check your reasoning as you tackle a problem using our interactive solutions viewer..

Mechanics of Materials 8th Edition by Gere and Goodno

mechanics of materials 7th edition beer solution manual pdf

Mechanics of Materials 7th Edition SOLUTIONS MANUAL by. Mechanics Of Materials Beer 7th Edition Solutions Manual Pdf pro.txt - Download as Text file (.txt), PDF File (.pdf) or read online. (PDF)solution manual for Mechanics Of Materials 8th Edition Beer.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily..

mechanics of materials 7th edition beer solution manual pdf


05/06/2018В В· Mechanics Of Materials 7th Edition Beer. Item Preview remove-circle Share or Embed This Item. EMBED EMBED (for wordpress.com hosted blogs and archive.org item tags Mechanics Of Materials Beer 7th Edition Solutions Manual Pdf pro.txt - Download as Text file (.txt), PDF File (.pdf) or read online. (PDF)solution manual for

NOTE: This product includes the Mechanics of Materials 7th edition PDF eBook and the Mechanics of Materials 7e instructor’s solution manual (ISM). No online codes … mechanics of materials beer solution manual mechanics of materials 7th edition solutions slideshare mechanics of materials 7th edition beer solution manual pdf chapter 3 mechanics of materials 7th edition beer pdf download free

07/08/2019В В· Download Mechanics Of Materials 6th Edition Solution Manual Beer Pdf book pdf free download link or read online here in PDF. Read online Mechanics Of Materials 6th Edition Solution Manual Beer Pdf book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library beer-mechanics-of-materials-5e-solutions-chapter-4 Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website.

01/03/2017В В· Solution manual Mechanics Of Materials Edition 4 Beer, Johnston, De WolfSolucionario mecanica de materiales edicion 4 Skip to main content This banner text can have markup . 01/03/2017В В· Solution manual Mechanics Of Materials Edition 4 Beer, Johnston, De WolfSolucionario mecanica de materiales edicion 4 Skip to main content This banner text can have markup .

01/03/2017В В· Solution manual Mechanics Of Materials Edition 4 Beer, Johnston, De WolfSolucionario mecanica de materiales edicion 4 Skip to main content This banner text can have markup . (b) Show that the same elongation would be obtained if the cable were horizontaland if a force equal to half of its weight were applied at each end.SOLUTION(a) For element at point identified by coordinate y, P weight of portion below the point gA(L y) d Pdy gA(L y)dy g(L y) dy EA EA E L g(L y) dy g Ly 1 y2 L 0 E E 2 0 g L2 L 2 1 gL2 E 2 2 E (b) Total weight: W gAL F EA EA 1 gL2 1 gAL F 1W L L

Mechanics Of Materials 7th Edition Beer Pdf.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily. Mechanics Of Materials 8th Edition Beer.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily.

Unlike static PDF Mechanics Of Materials 7th Edition solution manuals or printed answer keys, our experts show you how to solve each problem step-by-step. No need to wait for office hours or assignments to be graded to find out where you took a wrong turn. You can check your reasoning as you tackle a problem using our interactive solutions viewer. If you want to go for online solutions, then you can see the solutions from Chegg.com. Actually no one wants online solution manuals, I guess. If you have an account in SlideShare.net , you’ll get it there and download also. The link is- Solution

(b) Show that the same elongation would be obtained if the cable were horizontaland if a force equal to half of its weight were applied at each end.SOLUTION(a) For element at point identified by coordinate y, P weight of portion below the point gA(L y) d Pdy gA(L y)dy g(L y) dy EA EA E L g(L y) dy g Ly 1 y2 L 0 E E 2 0 g L2 L 2 1 gL2 E 2 2 E (b) Total weight: W gAL F EA EA 1 gL2 1 gAL F 1W L L 07/08/2019В В· Download Mechanics Of Materials 6th Edition Solution Manual Beer Pdf book pdf free download link or read online here in PDF. Read online Mechanics Of Materials 6th Edition Solution Manual Beer Pdf book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library

11/07/2018 · This is completed downloadable Solution Manual for Mechanics of Materials 7th Edition by Ferdinand P. Beer,‎ E. Russell Johnston Jr,‎ John T.DeWolf, ‎ David F. Mazurek. Instant Download Solution Manual for Mechanics of Materials 7th Edition by Ferdinand P.Beer , E. Russell Johnston Jr ,‎ John T. DeWolf ,‎ David F. Mazurek. If you want to go for online solutions, then you can see the solutions from Chegg.com. Actually no one wants online solution manuals, I guess. If you have an account in SlideShare.net , you’ll get it there and download also. The link is- Solution

29/05/2019В В· Download Mechanics Of Materials Beer Johnston 6th Edition Solutions book pdf free download link or read online here in PDF. Read online Mechanics Of Materials Beer Johnston 6th Edition Solutions book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it. This site is like a library Mechanics Of Materials 8th Edition Beer.pdf - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily.

Prepare to receive your Mechanics of Materials Solution Manual in the next moment. If you have any questions, or would like a receive a sample chapter before your purchase, please contact us at support@testbanknew.com. Mechanics of Materials Solution Manual. Mechanics of Materials Beer DeWolf 7th Edition Solutions Manual ISBN: 0073398233 Solution manual of mechanics of material by beer johnston Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website.

Mechanics of materials Beer and Johnston, 6th ed - Solutions problem 2.45 (continued) pa 5 p 1 p 21 p pa 0.525p 8 2 5 40 pc 0.275p pc 3 p 1 p 11 p 8 2 5 40check:pa pb pc 1.000p ok proprietary material.

mechanics of materials 7th edition beer solution manual pdf

NOTE: This product includes the Mechanics of Materials 7th edition PDF eBook and the Mechanics of Materials 7e instructor’s solution manual (ISM). No online codes … Description This is completed downloadable of Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual Instant download Mechanics of Materials 8th Edition by James M. Gere, Barry J. Goodno Solution Manual pdf docx epub after payment.