(b) The SDOF system with elasto-plastic resistance function as shown in Figure Q3(b), is subjected to a blast load with a peak of F KN and duration td seconds. Derive the expressions for the quasi-static and impulsive asymptotes of the Pressure-Impulse diagram as a function of the inelastic displacement ratio n, where n = Um/uy, for the SDOF system. (10 Marks) B Useful formula: Asin 0 + Bcos = √√A² + B² sin + tan A P (kN) Ро R (KN) Rm 0.36k Ry t (ms) u (m) td Uy Um Figure Q3(a) Figure Q3(b)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
(b) The SDOF system with elasto-plastic resistance function as shown in
Figure Q3(b), is subjected to a blast load with a peak of F KN and duration
td seconds. Derive the expressions for the quasi-static and impulsive
asymptotes of the Pressure-Impulse diagram as a function of the inelastic
displacement ratio n, where n = Um/uy, for the SDOF system.
(10 Marks)
B
Useful formula: Asin 0 + Bcos = √√A² + B² sin + tan
A
P (kN)
Ро
R (KN)
Rm
0.36k
Ry
t (ms)
u (m)
td
Uy
Um
Figure Q3(a)
Figure Q3(b)
Transcribed Image Text:(b) The SDOF system with elasto-plastic resistance function as shown in Figure Q3(b), is subjected to a blast load with a peak of F KN and duration td seconds. Derive the expressions for the quasi-static and impulsive asymptotes of the Pressure-Impulse diagram as a function of the inelastic displacement ratio n, where n = Um/uy, for the SDOF system. (10 Marks) B Useful formula: Asin 0 + Bcos = √√A² + B² sin + tan A P (kN) Ро R (KN) Rm 0.36k Ry t (ms) u (m) td Uy Um Figure Q3(a) Figure Q3(b)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning