To determine The depth of the water in reservoir that will cause to open the gate. Explanation Given: The mass of the gate is 8.50 Mg . The width of the gate ( b ) is 1 m . The length of the gate ( l A B ) is 3 m. Calculation: Calculate the height of the point A from ground. h A = h − 2 m − 3 sin 30 ° = h − 3.5 m Calculate the height of the point B from ground. h B = h − 2 m = ( h - 2 ) m Calculate the load acting at point B ( w B ) . w B = ρ w g h B b w B = 1 , 000 kg / m 3 × 9.81 m/s 2 × ( h − 2 ) m × 1 m = 9810 ( h − 2 ) N/m . Calculate the load acting at point A ( w A ) . w A = ρ w g h A b w A = 1 , 000 kg / m 3 × 9.81 m/s 2 × ( h − 3.5 ) m × 1 m = 9810 ( h − 3.5 ) N/m . Calculate the force acting at point B ( F p ) 1 . ( F p ) 1 = w A l A B ( F p ) 1 = [ 9810 ( h − 3

2nd Edition

ISBN: 9780134649290

Author: Russell C. Hibbeler

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 2, Problem 54P

To determine

The depth of the water in reservoir that will cause to open the gate.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 2, Problem 53P

Chapter 2, Problem 55P

Students have asked these similar questions

CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD. The cantilevered spandrel beam shown whose depth tapers from d1 to d2, has a constant width of 120mm. It carries a triangularly distributed end reaction.Given: d1 = 600 mm, d2 = 120 mm, L = 1 m, w = 100 kN/m1. Calculate the maximum flexural stress at the support, in kN-m.2. Determine the distance (m), from the free end, of the section with maximum flexural stress.3. Determine the maximum flexural stress in the beam, in MPa.ANSWERS: (1) 4.630 MPa; (2) 905.8688 m; (3) 4.65 MPa

CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I REALLY NEED FBD A concrete wall retains water as shown. Assume that the wall is fixed at the base. Given: H = 3 m, t = 0.5m, Concrete unit weight = 23 kN/m3Unit weight of water = 9.81 kN/m3(Hint: The pressure of water is linearly increasing from the surface to the bottom with intensity 9.81d.)1. Find the maximum compressive stress (MPa) at the base of the wall if the water reaches the top.2. If the maximum compressive stress at the base of the wall is not to exceed 0.40 MPa, what is the maximum allowable depth(m) of the water?3. If the tensile stress at the base is zero, what is the maximum allowable depth (m) of the water?ANSWERS: (1) 1.13 MPa, (2) 2.0 m, (3) 1.20 m

CORRECT AND DETAILED SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. I NEED FBD A short plate is attached to the center of the shaft as shown. The bottom of the shaft is fixed to the ground.Given: a = 75 mm, h = 125 mm, D = 38 mmP1 = 24 kN, P2 = 28 kN1. Calculate the maximum torsional stress in the shaft, in MPa.2. Calculate the maximum flexural stress in the shaft, in MPa.3. Calculate the maximum horizontal shear stress in the shaft, in MPa.ANSWERS: (1) 167.07 MPa; (2) 679.77 MPa; (3) 28.22 MPa

Chapter 2 Solutions

Fluid Mechanics (2nd Edition)

Ch. 2 - Prob. 1FP Ch. 2 - The container is partially filled with oil, water,...Ch. 2 - The U-tube manometer is filled with mercury,...Ch. 2 - The tube is filled with mercury from A to B, and...Ch. 2 - The air pressure in the pipe at A is 300 kPa....Ch. 2 - Determine the absolute pressure of the water in...Ch. 2 - The bin is 1.5 m wide and is filled with water to...Ch. 2 - The bin is 2 m wide and is filled with oil to the...Ch. 2 - The 2-m-wide container is filled with water to the...Ch. 2 - Determine the resultant force of the water acting...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.