Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 6, Problem 103P
.
To determine
The force needed to prevent the plate from moving horizontally.
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Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
A cantilevered rectangular prismatic beam has three loads applied. 10,000N in the positive x
direction, 500N in the positive z direction and 750 in the negative y direction. You have been tasked
with analysing the stresses at three points on the beam, a, b and c.
32mm
60mm
24mm
180mm
15mm
15mm
40mm
750N
16mm
500N
x
10,000N
Figure 2: Idealisation of the structure and the applied loading (right). Photograph of the new product
(left). Picture sourced from amazon.com.au.
To assess the design, you will:
a) Determine state of stress at all points (a, b and c). These points are located on the exterior
surface of the beam. Point a is located along the centreline of the beam, point b is 15mm
from the centreline and point c is located on the edge of the beam. When calculating the
stresses you must consider the stresses due to bending and transverse shear. Present your
results in a table and ensure that your sign convention is clearly shown (and applied
consistently!)
(3%)
b) You have identified…
7.82 Water flows from the reservoir on the left to the reservoir
on the right at a rate of 16 cfs. The formula for the head losses
in the pipes is h₁ = 0.02(L/D)(V²/2g). What elevation in the left
reservoir is required to produce this flow? Also carefully sketch
the HGL and the EGL for the system. Note: Assume the head-loss
formula can be used for the smaller pipe as well as for the larger
pipe. Assume α = 1.0 at all locations.
Elevation = ?
200 ft
300 ft
D₁ = 1.128 ft
D2=1.596 ft
12
2012
Problem 7.82
Elevation
= 110 ft
Chapter 6 Solutions
Fluid Mechanics Fundamentals And Applications
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Ch. 6 - A rocket in space (no friction or resistance to...Ch. 6 - Describe in terms of momentum and airflow how a...Ch. 6 - Does it take more, equal, or less power for a...Ch. 6 - In a given location, would a helicopter require...Ch. 6 - A horizontal water jet from a nozzle of constant...Ch. 6 - Describe body forces and surface forces, and...Ch. 6 - A constant-velocity horizontal water jet from a...Ch. 6 - A horizontal water jet of constant velocity V from...Ch. 6 - Water enters a 10-cm-diameter pipe steadily with a...Ch. 6 - A 2.5-cm-diameter horizontal water jet with a...Ch. 6 - A horizontal water jet of constant velocity V...Ch. 6 - A 90 elbow in a horizontal pipe is used to direct...Ch. 6 - Repeat Prob. 6-20 for the case of another...Ch. 6 - A horizontal water jet impinges against a vertical...Ch. 6 - A reducing elbow in a horizontal pipe is used to...Ch. 6 - Repeat Prob. 6-24 for the case of = 125°.Ch. 6 - Reconsider Prob. 627. If the mass of the cart is...Ch. 6 - A 100-ft3/s water jet is moving in the positive...Ch. 6 - Reconsider Prob. 6-26E. Using appropriate...Ch. 6 - A horizontal 5-cm-diameter water jet with a...Ch. 6 - A fan with 24-in-diameter blades moves 2000 cfm...Ch. 6 - A 3-in-diameter horizontal jet of water, with...Ch. 6 - Firefighters are holding a nozzle at the end of a...Ch. 6 - A 5-cm-diameter horizontal jet of water with a...Ch. 6 - A 3-in-diameter horizontal water jet having a...Ch. 6 - An unloaded helicopter of mass 12,000 kg hovers at...Ch. 6 - Water is flowing through a 10-cm-diameter water...Ch. 6 - The weight of a water tank open to the atmosphere...Ch. 6 - Commercially available large wind turbines have...Ch. 6 - Water enters a centrifugal pump axially at...Ch. 6 - An incompressible fluid of density and viscosity ...Ch. 6 - Consider the curved duct of Prob. 6-41, except...Ch. 6 - As a follow-up to Prob. 6-41, it turns out that...Ch. 6 - An incompressible fluid of density and viscosity ...Ch. 6 - Water of density =998.2kg/m3 flows through a...Ch. 6 - Water flowing in a horizontal 25-cm-diameter pipe...Ch. 6 - A sluice gate, which controls flow rate in a...Ch. 6 - How is the angular momentum equation obtained from...Ch. 6 - Prob. 52CPCh. 6 - Prob. 53CPCh. 6 - Prob. 54CPCh. 6 - Water is flowing through a 15-cm-diameter pipe...Ch. 6 - A large lawn sprinkler with two identical arms is...Ch. 6 - Prob. 57EPCh. 6 - Prob. 58PCh. 6 - The impeller of a centrifugal blower has a radius...Ch. 6 - Prob. 60PCh. 6 - Repeat Prob. 6-56 for a water flow rate of 60 L/s.Ch. 6 - Prob. 62PCh. 6 - Water enters the impeller of a centrifugal pump...Ch. 6 - A lawn sprinkler with three identical antis is...Ch. 6 - Prob. 66PCh. 6 - Water flowing steadily at a rate of 0.16 m3/s is...Ch. 6 - Repeat Prob. 6-66 by taking into consideration the...Ch. 6 - Prob. 70PCh. 6 - Water enters vertically and steadily at a rate of...Ch. 6 - Repeal Prob. 6-69 for the case of unequal anus-the...Ch. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76PCh. 6 - A spacecraft cruising in space at a constant...Ch. 6 - A 60-kg ice skater is standing on ice with ice...Ch. 6 - Prob. 80PCh. 6 - Water is flowing into and discharging from a pipe...Ch. 6 - Indiana Jones needs So ascend a 10-m-high...Ch. 6 - Prob. 83EPCh. 6 - Prob. 84PCh. 6 - A walnut with a mass of 50 g requires a force of...Ch. 6 - Prob. 86PCh. 6 - Prob. 87PCh. 6 - Show that the force exerted by a liquid jet on a...Ch. 6 - Prob. 89PCh. 6 - Prob. 90PCh. 6 - Prob. 91PCh. 6 - Water enters a two-armed lawn sprinkler along the...Ch. 6 - Prob. 94PCh. 6 - Prob. 95PCh. 6 - Prob. 96PCh. 6 - Water flows steadily through a splitter as shown...Ch. 6 - Prob. 98PCh. 6 - Prob. 99PCh. 6 - Consider water flow through a horizontal, short...Ch. 6 - Consider water flow through a horizontal. short...Ch. 6 - Prob. 103PCh. 6 - Prob. 104PCh. 6 - Prob. 105PCh. 6 - Prob. 106PCh. 6 - The velocity of wind at a wind turbine is measured...Ch. 6 - The ve1ocity of wind at a wind turbine is measured...Ch. 6 - Prob. 109PCh. 6 - Prob. 110PCh. 6 - Prob. 111PCh. 6 - Prob. 112PCh. 6 - Consider the impeller of a centrifugal pump with a...Ch. 6 - Prob. 114P
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