Show the resultant of hydrostatic force acting on a submerged plane. Show the force P is applied at a point C P called the center of pressure whose coordinates are x P = I x y / A y ¯ and y P = I x / A y ¯ Show that the difference of coordinates y P − y is equal to k ¯ 2 x ′ / y ¯ .

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Answer 1

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Chapter 9.2, Problem 9.66P

To determine

Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

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This problem studies the response of two single degree of freedom bridge systems shown in Figure 1 under three loading cases. The problem has two parts. Part A and Part B use the same loading cases but the system is modified. Assume the following three loading cases in both Part A and Part B: (a) Harmonic wind load acting on the bridge deck pw(t) = powsin(ωwt) with amplitude pow and forcing circular frequency ωw. (b) Harmonic displacement base excitation acting at the base of the bridge pier ug(t) = ugosin(ωgt) with amplitude ugo and displacement circular frequency ωg. (c) Rectangular pulse load acting on the bridge deck with amplitude pop and pulse duration td. Part A The system includes part of a bridge deck and a bridge pier shown in Figure 1(a). For each loading case find the symbolic expression of the peak shear force in the bridge pier assuming the following: • The bridge deck is rigid and it has a mass m. • The bridge deck is rigidly connected with the bridge pier (i.e.,…

Answer 2

Question

Chapter 9.2, Problem 9.66P

To determine

Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

Expert Solution & Answer

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Answer 3

Question

Chapter 9.2, Problem 9.66P

To determine

Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

Expert Solution & Answer

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Answer 4

Question

Chapter 9.2, Problem 9.66P

To determine

Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 9.2, Problem 9.66P

To determine

Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

Answer 6

Chapter 9.2, Problem 9.66P

To determine

Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

Answer 7

Chapter 9.2, Problem 9.66P

To determine

Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Show the resultant of hydrostatic force acting on a submerged plane. Show the force P is applied at a point C P called the center of pressure whose coordinates are x P = I x y / A y ¯ and y P = I x / A y ¯ Show that the difference of coordinates y P − y is equal to k ¯ 2 x ′ / y ¯ .

Solution Summary: The author shows the resultant of hydrostatic force acting on a submerged plane.

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Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

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Chapter 9 Solutions

Show the resultant of hydrostatic force acting on a submerged plane. Show the force P is applied at a point C P called the center of pressure whose coordinates are x P = I x y / A y ¯ and y P = I x / A y ¯ Show that the difference of coordinates y P − y is equal to k ¯ 2 x ′ / y ¯ .

Solution Summary: The author shows the resultant of hydrostatic force acting on a submerged plane.

Concept explainers

Videos

Show the resultant of hydrostatic force acting on a submerged plane. Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯ Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.

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Chapter 9 Solutions

Show the resultant of hydrostatic force acting on a submerged plane.

Show the force P is applied at a point CP called the center of pressure whose coordinates are xP=Ixy/Ay¯ and yP=Ix/Ay¯

Show that the difference of coordinates yP−y is equal to k¯2x′/y¯.