1. Determine the pressure at the bottom of the tank. A sp gr 0.80 B sp gr 1.00 C sp gr 1.60 75° 1.8m 3.0m 1.2m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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1. Determine the pressure at the bottom of the tank.
A
sp gr 0.80
B
sp gr 1.00
sp gr 1.60
75°
1.8m
3.0m
1.2m
2. A cohesive soil specimen has a shearing resistance equal to 28° and a cohesion of 32KPa. If the
maximum shearing stress of the soil sample is equal to 64KPa, compute the normal stress at the
point of maximum shear.
3. Water from a reservoir flowing through a pipe having a diameter of 600mm with velocity of 1.75 m/s
is completely stopped by a closure of a valve situated 150m from the reservoir. Assume that the
pressure increased at a uniform rate and there is no damping of the pressure wave. The pipe has a
thickness of 20mm and bulk modulus of water is 2.2 x 10⁹ N/m² and modulus of elasticity of steel is
1.4 x 10¹1 N/m². Compute the celerity of the pressure wave.
4. Pipeline 1, 2 and 3 are connected with parallel to each other with pipeline 1 having diameter of
450mm, 600m long, pipeline 2, 400mm in diameter, 800m long and pipeline 3, 500mm in diameter,
700m long. The 3 pipes carry combined discharge of 0.86 m³/s, Assuming f = 0.02 for all pipes.
Compute the discharge of pipeline 3.
5. A woman with a glass of water having a height of 300mm is inside the elevator with an upward
acceleration of 3 m/s2. Determine the pressure at the bottom of the glass.
6. A trapezoidal canal has a bottom width of 4m and size slopes of 2 horizontal to 1 vertical. When the
depth of flow is 1.2m, the flow is 3030m³/sec. The roughness coefficient n = 0.015. Evaluate the
slope of channel using Manning's formula.
7. A rectangular gate 1.5m wide and 3m high is vertically submerged in water with its top edge
horizontal and 2m below the water surface. Obtain the location of force from the liquid surface in
meters.
8. A solid block having a specific gravity of 3.5 is placed in a container containing liquid having a
specific gravity of 13.6. If the volume of the block is 0.020 m³, evaluate the percentage volume of the
block that floats above the liquid surface.
Transcribed Image Text:1. Determine the pressure at the bottom of the tank. A sp gr 0.80 B sp gr 1.00 sp gr 1.60 75° 1.8m 3.0m 1.2m 2. A cohesive soil specimen has a shearing resistance equal to 28° and a cohesion of 32KPa. If the maximum shearing stress of the soil sample is equal to 64KPa, compute the normal stress at the point of maximum shear. 3. Water from a reservoir flowing through a pipe having a diameter of 600mm with velocity of 1.75 m/s is completely stopped by a closure of a valve situated 150m from the reservoir. Assume that the pressure increased at a uniform rate and there is no damping of the pressure wave. The pipe has a thickness of 20mm and bulk modulus of water is 2.2 x 10⁹ N/m² and modulus of elasticity of steel is 1.4 x 10¹1 N/m². Compute the celerity of the pressure wave. 4. Pipeline 1, 2 and 3 are connected with parallel to each other with pipeline 1 having diameter of 450mm, 600m long, pipeline 2, 400mm in diameter, 800m long and pipeline 3, 500mm in diameter, 700m long. The 3 pipes carry combined discharge of 0.86 m³/s, Assuming f = 0.02 for all pipes. Compute the discharge of pipeline 3. 5. A woman with a glass of water having a height of 300mm is inside the elevator with an upward acceleration of 3 m/s2. Determine the pressure at the bottom of the glass. 6. A trapezoidal canal has a bottom width of 4m and size slopes of 2 horizontal to 1 vertical. When the depth of flow is 1.2m, the flow is 3030m³/sec. The roughness coefficient n = 0.015. Evaluate the slope of channel using Manning's formula. 7. A rectangular gate 1.5m wide and 3m high is vertically submerged in water with its top edge horizontal and 2m below the water surface. Obtain the location of force from the liquid surface in meters. 8. A solid block having a specific gravity of 3.5 is placed in a container containing liquid having a specific gravity of 13.6. If the volume of the block is 0.020 m³, evaluate the percentage volume of the block that floats above the liquid surface.
1. A simply supported beam 300mm by 700mm and span of 10m is prestressed by a straight tendon
with a force of 1500KN at an eccentricity of 200mm from the centroid. The beam supports a live load
of 50 KN at the midspan and a dead load of 30 KN/m including the beam's weight.
a. Calculate the final stress at the top fiber in MPa
b. Calculate the final stress at the bottom fiber in MPa
2. A 600mm-by-600mm column carries a dead load of 1340 KN and 720 KN. The allowable soil
pressure is 260 KPa, the dimension of the footing is 3m by 3m, there is a 060m soil at the top of the
footing with 15.70 KN/m³. The footing is reinforced with 18- 25mm bars, the total depth of the
footing is 625mm. The material properties for the footing are as follows: fc = 20.7 MPa, fy = 276.5
MPa.
a. Determine the wide beam shear stress at the ultimate loads.
b. Determine the punching shear stress at ultimate loads.
c. Determine the ultimate bending moment.
3. A 12m simply supported beam is provided by an additional support at midspan. The beam has a
width of 300mm and the total depth h = 450mm. It is reinforced with 4-25mm bars at the tension
side and 2 - 25mm bars at the compression side with 70mm cover to centroid of reinforcement. f'c =
30MPa and fy = 415 MPa. Use 0.75 Phal = 0.023
a. Determine the depth of the compression block
b. Determine the total factored uniform load including the beam's weight considering moment.
capacity reduction factor of 0.90.
4. Classify the following structure as determinate, indeterminate or unstable. If found to be
indeterminate, state the degree of indeterminacy..
a.
b.
17777
17777
O
m
Transcribed Image Text:1. A simply supported beam 300mm by 700mm and span of 10m is prestressed by a straight tendon with a force of 1500KN at an eccentricity of 200mm from the centroid. The beam supports a live load of 50 KN at the midspan and a dead load of 30 KN/m including the beam's weight. a. Calculate the final stress at the top fiber in MPa b. Calculate the final stress at the bottom fiber in MPa 2. A 600mm-by-600mm column carries a dead load of 1340 KN and 720 KN. The allowable soil pressure is 260 KPa, the dimension of the footing is 3m by 3m, there is a 060m soil at the top of the footing with 15.70 KN/m³. The footing is reinforced with 18- 25mm bars, the total depth of the footing is 625mm. The material properties for the footing are as follows: fc = 20.7 MPa, fy = 276.5 MPa. a. Determine the wide beam shear stress at the ultimate loads. b. Determine the punching shear stress at ultimate loads. c. Determine the ultimate bending moment. 3. A 12m simply supported beam is provided by an additional support at midspan. The beam has a width of 300mm and the total depth h = 450mm. It is reinforced with 4-25mm bars at the tension side and 2 - 25mm bars at the compression side with 70mm cover to centroid of reinforcement. f'c = 30MPa and fy = 415 MPa. Use 0.75 Phal = 0.023 a. Determine the depth of the compression block b. Determine the total factored uniform load including the beam's weight considering moment. capacity reduction factor of 0.90. 4. Classify the following structure as determinate, indeterminate or unstable. If found to be indeterminate, state the degree of indeterminacy.. a. b. 17777 17777 O m
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