Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 11, Problem 92EP
To determine
The drag force
The lift force
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Students have asked these similar questions
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
and bending moment.
(2%)
c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
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…
Chapter 11 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 11 - Which bicyclist is more likely to go faster: one...Ch. 11 - Consider laminar flow over a flat plate. How does...Ch. 11 - Define the frontal area of a body subjected to...Ch. 11 - Define the planform area of a body subjected to...Ch. 11 - Prob. 5CPCh. 11 - Prob. 6CPCh. 11 - What is the difference between streamlined and...Ch. 11 - Prob. 8CPCh. 11 - What is drag? What causes it? Why do we usually...Ch. 11 - Prob. 10CP
Ch. 11 - During flow over a given body, the drag force, the...Ch. 11 - During flow over a given slender body such as a...Ch. 11 - What is terminal velocity? How is it determined?Ch. 11 - What is the difference between skin friction drag...Ch. 11 - What is the effect of surface roughness on the...Ch. 11 - Prob. 16CPCh. 11 - What is flow separation? What causes it? What is...Ch. 11 - Prob. 18CPCh. 11 - In general, how does the drag coefficient vary...Ch. 11 - Fairings are attached to the front and back of a...Ch. 11 - Prob. 21PCh. 11 - The resultant of the pressure and wall shear...Ch. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - To reduce the drag coefficient and thus to improve...Ch. 11 - A circular sign has a diameter of 50 cm and is...Ch. 11 - Prob. 28EPCh. 11 - Prob. 29PCh. 11 - At highway speeds, about half of the power...Ch. 11 - A submarine can be treated as an ellipsoid with a...Ch. 11 - Prob. 32EPCh. 11 - Prob. 33PCh. 11 - A 70-kg bicyclist is riding her 1 5-kg bicycle...Ch. 11 - A wind turbine with two or four hollow...Ch. 11 - Prob. 37EPCh. 11 - During steady motion of a vehicle on a level road,...Ch. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - The drag coefficient of a vehicle increases when...Ch. 11 - To reduce the drag coefficient and thus to improve...Ch. 11 - How is the average friction coefficient determined...Ch. 11 - What fluid property is responsible for the...Ch. 11 - What does the friction coefficient represent in...Ch. 11 - Prob. 49PCh. 11 - The local atmospheric pressure in Denver, Colorado...Ch. 11 - The top surface of the passenger car of a train...Ch. 11 - The forming section of a plastics plant puts out a...Ch. 11 - Prob. 54EPCh. 11 - Prob. 55EPCh. 11 - Air at 25C and 1 atm is flowing over a long flat...Ch. 11 - Prob. 58PCh. 11 - Prob. 59PCh. 11 - Prob. 60PCh. 11 - Why is flow separation in flow over cylinders...Ch. 11 - Prob. 62CPCh. 11 - Prob. 63CPCh. 11 - Prob. 64PCh. 11 - A 1ong 5-cm-diameter steam pipe passes through...Ch. 11 - Consider 0.8-cm-diameter hail that is falling...Ch. 11 - Prob. 67EPCh. 11 - Prob. 68PCh. 11 - Prob. 69PCh. 11 - Prob. 70PCh. 11 - Prob. 71EPCh. 11 - One of the popular demonstrations in science...Ch. 11 - Prob. 73CPCh. 11 - Air is flowing past a symmetrical airfoil at an...Ch. 11 - What is stall? What causes an airfoil to stall?...Ch. 11 - Prob. 76CPCh. 11 - Air is flowing past a symmetrical airfoil at zero...Ch. 11 - Both the lift and the drag of an airfoil increase...Ch. 11 - Prob. 79CPCh. 11 - Prob. 80CPCh. 11 - Prob. 81CPCh. 11 - Prob. 82CPCh. 11 - Prob. 83CPCh. 11 - How do flaps affect the lift and the drag of...Ch. 11 - A small aircraft has a wing area of 35 m2 a lift...Ch. 11 - Consider an aircraft that takes off at 260 km/h...Ch. 11 - Prob. 87PCh. 11 - Prob. 88EPCh. 11 - Prob. 89PCh. 11 - A tennis ball with a mass of 57 and a diameter of...Ch. 11 - Prob. 92EPCh. 11 - Prob. 93PCh. 11 - Consider a light plane that has a total weight of...Ch. 11 - A small airplane has a total mass of 1800 kg and a...Ch. 11 - Prob. 97PCh. 11 - Prob. 98PCh. 11 - A 2-zn-high, 4-zn-wide rectangular advertisement...Ch. 11 - 11-97 A plastic boat whose bottom surface can be...Ch. 11 - Prob. 102PCh. 11 - Prob. 103EPCh. 11 - A commercial airplane has a total mass of 150.000...Ch. 11 - Prob. 105PCh. 11 - A paratrooper and his 8-m-diameter parachute weigh...Ch. 11 - Prob. 107PCh. 11 - Prob. 108PCh. 11 - Prob. 110PCh. 11 - Prob. 112PCh. 11 - Prob. 113PCh. 11 - Prob. 114PCh. 11 - Prob. 117PCh. 11 - Prob. 118PCh. 11 - Prob. 119PCh. 11 - Prob. 120PCh. 11 - Prob. 121PCh. 11 - The region of flow trailing the body where the...Ch. 11 - Prob. 123PCh. 11 - Prob. 124PCh. 11 - Prob. 125PCh. 11 - Prob. 126PCh. 11 - Prob. 127PCh. 11 - Prob. 128PCh. 11 - An airplane has a total mass of 3.000kg and a wing...Ch. 11 - Prob. 130PCh. 11 - Write a report on the history of the reduction of...Ch. 11 - Write a report oil the flips used at the leading...Ch. 11 - Large commercial airplanes cruise at high...Ch. 11 - Many drivers turn off their air conditioners and...
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