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The water tank of Fig P5-la can be treated as a SDOF structure with the following properties: m = 4 kips-sec²/in, k = 40 kips/in. As a result of an explosion, the tank is subjected to the dynamic-load history shown in Fig P5-1b. Compute approximately the maximum overturning moment Mo at the base of the tower using [5-21] and evaluating the impulse integral by means of Simpson's rule: y(t) = At [pdt = (P₁ +4P₁ +2P₂ +4P3 + P₂) ma M₂ (a) p(t) 150 ft (S" P(1)dt sin cof C FIGURE P5-1 p(1) 35 kips 1 50 kips 0.05 0.05 2 0.05 (b) 15 kips 3 0.05 t, sec [5-21]

The water tank of Fig P5-la can be treated as a SDOF structure with the following properties: m = 4 kips-sec²/in, k = 40 kips/in. As a result of an explosion, the tank is subjected to the dynamic-load history shown in Fig P5-1b. Compute approximately the maximum overturning moment Mo at the base of the tower using [5-21] and evaluating the impulse integral by means of Simpson's rule: y(t) = At [pdt = (P₁ +4P₁ +2P₂ +4P3 + P₂) ma M₂ (a) p(t) 150 ft (S" P(1)dt sin cof C FIGURE P5-1 p(1) 35 kips 1 50 kips 0.05 0.05 2 0.05 (b) 15 kips 3 0.05 t, sec [5-21]

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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The water tank of Figure P5-1a can be treated as a SDOF structure with the following properties: m=4 kips-sec²/in, k=40 kips/in. As a result of an explosion, the tank is subjected to the dynamic load history shown in Figure P5-1b. Compute approximately the maximum overturning moment Mo at the base of the tower using [5-21] and evaluating the impulse integral by means of Simpson's rule.

= 5.5 The water tank of Fig P5-la can be treated as a SDOF structure with the following properties: m = 4 kips-sec²/in, k 40 kips/in. As a result of an explosion, the tank is subjected to the dynamic-load history shown in Fig P5-1b. Compute approximately the maximum overturning moment Mo at the base of the tower using [5-21] and evaluating the impulse integral by means of Simpson's rule: y(t): At [pdt = (P₁ +4P₁ +2P₂ +4P3 + P₂) 3 1 ma m Mo (a) p(t) 150 ft "P(1)dt sin cof FIGURE P5-1 p(1) 50 kip 35 kips IL 15 kips 0 2 3 0.05 0.05 0.05 0.05 (b) 4 t, sec [5-21]
Transcribed Image Text:= 5.5 The water tank of Fig P5-la can be treated as a SDOF structure with the following properties: m = 4 kips-sec²/in, k 40 kips/in. As a result of an explosion, the tank is subjected to the dynamic-load history shown in Fig P5-1b. Compute approximately the maximum overturning moment Mo at the base of the tower using [5-21] and evaluating the impulse integral by means of Simpson's rule: y(t): At [pdt = (P₁ +4P₁ +2P₂ +4P3 + P₂) 3 1 ma m Mo (a) p(t) 150 ft "P(1)dt sin cof FIGURE P5-1 p(1) 50 kip 35 kips IL 15 kips 0 2 3 0.05 0.05 0.05 0.05 (b) 4 t, sec [5-21]
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