Question
Download Solution PDFThe ILD of thrust in a 2 hinge parabolic arch is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The influence line diagram for thrust in parabolic arch:
The horizontal thrust due to a concentrated load W at a distance x from end A is given by:
\({\rm{H}} = \frac{5}{8}\frac{{\rm{W}}}{{{{\rm{L}}^3}{\rm{h}}}}{\rm{x}}\left( {{\rm{L}} - {\rm{x}}} \right)\left( {{{\rm{L}}^2} + {\rm{xL}} - {{\rm{x}}^2}} \right)\)
Which is a 4° parabolic equation.
Now, to draw influence line diagram for horizontal thrust, W = 1 kN
\({\rm{H}} = \frac{5}{{8{\rm{h}}{{\rm{L}}^3}}}{\rm{x}}\left( {{\rm{L}} - {\rm{x}}} \right)\left( {{{\rm{L}}^2} + {\rm{xL}} - {{\rm{x}}^2}} \right)\)
\(\Rightarrow {\rm{H}} = \frac{5}{{8{\rm{h}}}}{\rm{x}}\left( {1 - \frac{{2{{\rm{x}}^2}}}{{{{\rm{L}}^2}}} + \frac{{{{\rm{x}}^3}}}{{{{\rm{L}}^3}}}} \right)\)
Last updated on Jun 13, 2025
-> UPPSC AE Mains Exam 2025 registration has been started.
-> UPPSC AE Mains registration window is available till June 27. However, last date to send the documents is July 4.
-> UPPSC AE result 2025 has been released for Prelims exam.
-> UPPSC AE Answer Key 2025 has been uploaded on 23rd April 2025.
-> UPPSC AE Exam was conducted 20th April 2025 on its official website.
-> The UPPSC AE Exam Date 2025 has been released.
-> The Prelims & Mains exam will be conducted on 20th April & 28th September 2025 respectively.
-> A total of 604 vacancies have been released.
-> The applications must be submitted online between 17th December 2024 to 17th January 2025.
-> The selection process includes a written exam, interview, and document verification.
-> Candidates with a BE/B.Tech degree in the relevant discipline, between 21 to 40 years of age are eligible for this post.