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(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)

(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
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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(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)
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