
Fluid Mechanics (2nd Edition)
2nd Edition
ISBN: 9780134649290
Author: Russell C. Hibbeler
Publisher: PEARSON
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Question
Chapter 1, Problem 51P
To determine
The boiling temperature of water required to prepare a cup of coffee.
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2. Express the following complex numbers in rectangular form.
(a) z₁ = 2еjл/6
(b) Z2=-3e-jπ/4
(c) Z3 =
√√√3e-j³/4
(d) z4 = − j³
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…
Chapter 1 Solutions
Fluid Mechanics (2nd Edition)
Ch. 1 - Prob. 1PCh. 1 - Evaluate each of the following to three...Ch. 1 - Evaluate each of the following to three...Ch. 1 - Convert the following temperatures: (a) 250 K to...Ch. 1 - The tank contains a liquid having a density of...Ch. 1 - If air within the tank is at an absolute pressure...Ch. 1 - The bottle tank has a volume of 0.35 m3 and...Ch. 1 - The bottle tank contains nitrogen having a...Ch. 1 - Prob. 9PCh. 1 - Dry air at 25°C has a density of 1.23 kg/m3. But...
Ch. 1 - The tanker carries 900(103) barrels of crude oil...Ch. 1 - Water in the swimming pool has a measured depth of...Ch. 1 - Determine the weight of carbon tetrachloride that...Ch. 1 - The tank contains air at a temperature of 18°C and...Ch. 1 - The tank contains 4 kg of air at an absolute...Ch. 1 - The 8-m-diameter spherical balloon is filled with...Ch. 1 - Gasoline is mixed with 8 ft3 of kerosene so that...Ch. 1 - Determine the change in the density of oxygen when...Ch. 1 - The container is filled with water at a...Ch. 1 - The rain cloud has an approximate volume of 6.50...Ch. 1 - A volume of 8 m3 of oxygen initially at 80 kPa of...Ch. 1 - Prob. 22PCh. 1 - Water at 20°C is subjected to a pressure increase...Ch. 1 - Prob. 24PCh. 1 - At a point deep in the ocean, the specific weight...Ch. 1 - A 2-kg mass of oxygen is held at a constant...Ch. 1 - The viscosity of SAE 10 W30 oil is μ = 0.100...Ch. 1 - If the kinematic viscosity of glycerin is ν =...Ch. 1 - An experimental test using human blood at T = 30°C...Ch. 1 - The plate is moving at 0.6 mm/s when the force...Ch. 1 - When the force P is applied to the plate, the...Ch. 1 - When the force P is applied to the plate, the...Ch. 1 - The Newtonian fluid is confined between a plate...Ch. 1 - The Newtonian fluid is confined between the plate...Ch. 1 - If a force of P = 2 N causes the 30-mm-diameter...Ch. 1 - A plastic strip having a width of 0.2 m and a mass...Ch. 1 - A plastic strip having a width of 0.2 m and a mass...Ch. 1 - The tank containing gasoline has a long crack on...Ch. 1 - The tank containing gasoline has a long crack on...Ch. 1 - Determine the constants B and C in Andrade's...Ch. 1 - The viscosity of water can be determined using the...Ch. 1 - Determine the constants B and C in the Sutherland...Ch. 1 - The constants B=1.357(10−6) N·s/(m2·K1/2) and C =...Ch. 1 - The read-write head for a hand-held music player...Ch. 1 - Determine the torque T required to rotate the disk...Ch. 1 - Prob. 46PCh. 1 - Prob. 47PCh. 1 - The tube rests on a 1.5-mm thin film of oil having...Ch. 1 - The tube rests on a 1.5-mm thin film of oil having...Ch. 1 - Prob. 50PCh. 1 - Prob. 51PCh. 1 - How hot can you make a cup of tea if you climb to...Ch. 1 - A boat propeller is rotating in water that has a...Ch. 1 - As water at 20°C flows through the transition, its...Ch. 1 - Water at 70°F is flowing through a garden hose. If...Ch. 1 - Prob. 56PCh. 1 - For water falling out of the tube, there is a...Ch. 1 - Steel particles are ejected from a grinder and...Ch. 1 - Prob. 59PCh. 1 - Prob. 60PCh. 1 - Prob. 61PCh. 1 - Prob. 62PCh. 1 - Because cohesion resists any increase in the...Ch. 1 - The glass tube has an inner diameter d and is...Ch. 1 - The glass tube has an inner diameter of d = 2 mm...Ch. 1 - Prob. 66PCh. 1 - The triangular glass rod has a weight of 0.3 N and...Ch. 1 - The triangular glass rod has a weight of 0.3 N and...Ch. 1 - Water poured from this pitcher tends to cling to...Ch. 1 - If a drop of oil is placed on a water surface,...Ch. 1 - The shape of this municipal water tank has the...
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