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]
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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f84a722-cb93-4984-ad70-39f671dd6c38%2Ff2c3bb5d-b29d-4fbe-bc0f-bee024302987%2F5u6pv1i_processed.png&w=3840&q=75)
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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