Mechanics of Materials, 7th Edition
7th Edition
ISBN: 9780073398235
Author: Ferdinand P. Beer, E. Russell Johnston Jr., John T. DeWolf, David F. Mazurek
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 4.3, Problem 1P
4.1 and 4.2 Knowing that the couple shown acts in a vertical plane, determine the stress at (a) point A, (b) point B.
Fig. P4.1
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Student Name:
Student Id:
College of Applied Engineering
Al-Muzahmiyah Branch
Statics (AGE 1330) Section-1483
Quiz-2
Time: 20 minutes
Date: 16/02/2025
Q.1. A swinging door that weighs w=400.0N is supported by
hinges A and B so that the door can swing about a vertical'
axis passing through the hinges (as shown in below figure).
The door has a width of b=1.00m and the door slab has a
uniform mass density. The hinges are placed symmetrically
at the door's edge in such a way that the door's weight is
evenly distributed between them. The hinges are separated
by distance a=2.00m. Find the forces on the hinges when
the door rests half-open. Draw Free body diagram also.
[5 marks]
[CLO 1.2]
Mool
b
ర
a
2.0 m
B
1.0 m
For the walking-beam mechanism shown in Figure 3, find and plot the x and y coordinates of the
position of the coupler point P for one complete revolution of the crank O2A. Use the coordinate
system shown in Figure 3. Hint: Calculate them first with respect to the ground link 0204 and
then transform them into the global XY coordinate system.
y
-1.75
Ꮎ
Ꮎ
4
= 2.33
0242.22
L4
x
AP = 3.06
L2 = 1.0
W2
31°
B
03 L3 = 2.06
P
1
8
5
.06
6
7
P'
The link lengths, gear ratio (2), phase angle (Ø), and the value of 02 for some geared five bar
linkages are defined in Table 2. The linkage configuration and terminology are shown in Figure
2. For the rows assigned, find all possible solutions for angles 03 and 04 by the vector loop
method. Show your work in details: vector loop, vector equations, solution procedure.
Table 2
Row
Link 1 Link 2
Link 3
Link 4
Link 5
λ
Φ
Ө
a
6
1
7
9
4
2
30°
60°
P
y 4
YA
B
b
R4
R3
YA
A
Gear ratio:
a
02
d
05
r5
R5
R2
Phase angle: = 0₂-202
R1
05
02
r2
Figure 2.
04
X
Chapter 4 Solutions
Mechanics of Materials, 7th Edition
Ch. 4.3 - 4.1 and 4.2 Knowing that the couple shown acts in...Ch. 4.3 - 4.1 and 4.2 Knowing that the couple shown acts in...Ch. 4.3 - Using an allowable stress of 155 MPa, determine...Ch. 4.3 - Solve Prob. 4.3, assuming that the wide-flange...Ch. 4.3 - Using an allowable stress of 16 ksi, determine the...Ch. 4.3 - Knowing that the couple shown acts in a vertical...Ch. 4.3 - 4.7 and 4.8 Two W4 13 rolled sections are welded...Ch. 4.3 - 4.7 and 4.8 Two W4 13 rolled sections are welded...Ch. 4.3 - 4.9 through 4.11 Two vertical forces are applied...Ch. 4.3 - 4.9 through 4.11 Two vertical forces are applied...
Ch. 4.3 - 4.9 through 4.11 Two vertical forces are applied...Ch. 4.3 - Knowing that a beam of the cross section shown is...Ch. 4.3 - Knowing that a beam of the cross section shown is...Ch. 4.3 - Solve Prob. 4.13, assuming that the beam is bent...Ch. 4.3 - Knowing that for the extruded beam shown the...Ch. 4.3 - The beam shown is made of a nylon for which the...Ch. 4.3 - Solve Prob. 4.16, assuming that d = 40 mm.Ch. 4.3 - Knowing that for the beam shown the allowable...Ch. 4.3 - 4.19 and 4.20 Knowing that for the extruded beam...Ch. 4.3 - 4.19 and 4.20 Knowing that for the extruded beam...Ch. 4.3 - Straight rods of 6-mm diameter and 30-m length are...Ch. 4.3 - A 900-mm strip of steel is bent into a full circle...Ch. 4.3 - Straight rods of 0.30-in. diameter and 200-ft...Ch. 4.3 - A 60-Nm couple is applied to the steel bar shown,...Ch. 4.3 - (a) Using an allowable stress of 120 MPa,...Ch. 4.3 - A thick-walled pipe is bent about a horizontal...Ch. 4.3 - A couple M will be applied to a beam of...Ch. 4.3 - A portion of a square bar is removed by milling,...Ch. 4.3 - In Prob. 4.28, determine (a) the value of h for...Ch. 4.3 - For the bar and loading of Concept Application...Ch. 4.3 - Prob. 31PCh. 4.3 - It was assumed in Sec. 4.1B that the normal...Ch. 4.5 - 4.33 and 4.34 A bar having the cross section shown...Ch. 4.5 - 4.33 and 4.34 A bar having the cross section shown...Ch. 4.5 - 4.35 and 4.36 For the composite bar indicated,...Ch. 4.5 - Prob. 36PCh. 4.5 - 4.37 and 4.38 Wooden beams and steel plates are...Ch. 4.5 - 4.37 and 4.38 Wooden beams and steel plates are...Ch. 4.5 - 4.39 and 4.40 A copper strip (Ec = 105 GPa) and an...Ch. 4.5 - 4.39 and 4.40 A copper strip (Ec = 105 GPa) and an...Ch. 4.5 - 4.41 and 4.42 The 6 12-in. timber beam has been...Ch. 4.5 - 4.41 and 4.42 The 6 12-in. timber beam has been...Ch. 4.5 - 4.43 and 4.44 For the composite beam indicated,...Ch. 4.5 - Prob. 44PCh. 4.5 - Prob. 45PCh. 4.5 - Prob. 46PCh. 4.5 - A concrete slab is reinforced by 58-in.-diameter...Ch. 4.5 - Solve Prob. 4.47, assuming that the spacing of the...Ch. 4.5 - The reinforced concrete beam shown is subjected to...Ch. 4.5 - Prob. 50PCh. 4.5 - Knowing that the bending moment in the reinforced...Ch. 4.5 - A concrete beam is reinforced by three steel rods...Ch. 4.5 - The design of a reinforced concrete beam is said...Ch. 4.5 - For the concrete beam shown, the modulus of...Ch. 4.5 - 4.55 and 4.56 Five metal strips, each 0.5 1.5-in....Ch. 4.5 - 4.55 and 4.56 Five metal strips, each 0.5 1.5-in....Ch. 4.5 - The composite beam shown is formed by bonding...Ch. 4.5 - A steel pipe and an aluminum pipe are securely...Ch. 4.5 - The rectangular beam shown is made of a plastic...Ch. 4.5 - Prob. 60PCh. 4.5 - Knowing that M = 250 Nm, determine the maximum...Ch. 4.5 - Knowing that the allowable stress for the beam...Ch. 4.5 - Semicircular grooves of radius r must be milled as...Ch. 4.5 - Prob. 64PCh. 4.5 - A couple of moment M = 2 kNm is to be applied to...Ch. 4.5 - The allowable stress used in the design of a steel...Ch. 4.6 - The prismatic bar shown is made of a steel that is...Ch. 4.6 - Prob. 68PCh. 4.6 - Prob. 69PCh. 4.6 - Prob. 70PCh. 4.6 - The prismatic rod shown is made of a steel that is...Ch. 4.6 - Solve Prob. 4.71, assuming that the couples M and...Ch. 4.6 - 4.73 and 4.74 A beam of the cross section shown is...Ch. 4.6 - 4.73 and 4.74 A beam of the cross section shown is...Ch. 4.6 - 4.75 and 4.76 A beam of the cross section shown is...Ch. 4.6 - Prob. 76PCh. 4.6 - 4.77 through 4.80 For the beam indicated,...Ch. 4.6 - Prob. 78PCh. 4.6 - Prob. 79PCh. 4.6 - 4.77 through 4.80 For the beam indicated,...Ch. 4.6 - 4.81 through 4.83 Determine the plastic moment Mp...Ch. 4.6 - Prob. 82PCh. 4.6 - Prob. 83PCh. 4.6 - Determine the plastic moment Mp of a steel beam of...Ch. 4.6 - Determine the plastic moment Mp of the cross...Ch. 4.6 - Determine the plastic moment Mp of a steel beam of...Ch. 4.6 - Prob. 87PCh. 4.6 - Prob. 88PCh. 4.6 - Prob. 89PCh. 4.6 - Prob. 90PCh. 4.6 - Prob. 91PCh. 4.6 - Prob. 92PCh. 4.6 - Prob. 93PCh. 4.6 - Prob. 94PCh. 4.6 - Prob. 95PCh. 4.6 - Prob. 96PCh. 4.6 - Prob. 97PCh. 4.6 - Prob. 98PCh. 4.7 - Knowing that the magnitude of the horizontal force...Ch. 4.7 - A short wooden post supports a 6-kip axial load as...Ch. 4.7 - Two forces P can be applied separately or at the...Ch. 4.7 - A short 120 180-mm column supports the three...Ch. 4.7 - As many as three axial loads, each of magnitude P...Ch. 4.7 - Two 10-kN forces are applied to a 20 60-mm...Ch. 4.7 - Portions of a 1212-in. square bar have been bent...Ch. 4.7 - Knowing that the allowable stress in section ABD...Ch. 4.7 - A milling operation was used to remove a portion...Ch. 4.7 - A milling operation was used to remove a portion...Ch. 4.7 - The two forces shown are applied to a rigid plate...Ch. 4.7 - Prob. 110PCh. 4.7 - Prob. 111PCh. 4.7 - A short column is made by nailing four 1 4-in....Ch. 4.7 - A vertical rod is attached at point A to the cast...Ch. 4.7 - A vertical rod is attached at point A to the cast...Ch. 4.7 - Knowing that the clamp shown has been tightened...Ch. 4.7 - Prob. 116PCh. 4.7 - Three steel plates, each of 25 150-mm cross...Ch. 4.7 - A vertical force P of magnitude 20 kips is applied...Ch. 4.7 - The four bars shown have the same cross-sectional...Ch. 4.7 - Prob. 120PCh. 4.7 - An eccentric force P is applied as shown to a...Ch. 4.7 - Prob. 122PCh. 4.7 - Prob. 123PCh. 4.7 - Prob. 124PCh. 4.7 - A single vertical force P is applied to a short...Ch. 4.7 - The eccentric axial force P acts at point D, which...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - 4.127 through 4.134 The couple M is applied to a...Ch. 4.9 - Prob. 133PCh. 4.9 - Prob. 134PCh. 4.9 - 4.135 through 4.140 The couple M acts in a...Ch. 4.9 - 4.135 through 4.140 The couple M acts in a...Ch. 4.9 - Prob. 137PCh. 4.9 - 4.135 through 4.140 The couple M acts in a...Ch. 4.9 - 4.135 through 44.140 The couple M acts in a...Ch. 4.9 - 4.135 through 4.140 The couple M acts in a...Ch. 4.9 - Prob. 141PCh. 4.9 - 4.141 through 4.143 The couple M acts in a...Ch. 4.9 - 4.141 through 4.143 The couple M acts in a...Ch. 4.9 - The tube shown has a uniform wall thickness of 12...Ch. 4.9 - Prob. 145PCh. 4.9 - Knowing that P = 90 kips, determine the largest...Ch. 4.9 - Knowing that a = 1.25 in., determine the largest...Ch. 4.9 - A rigid circular plate of 125-mm radius is...Ch. 4.9 - Prob. 149PCh. 4.9 - A beam having the cross section shown is subjected...Ch. 4.9 - Prob. 151PCh. 4.9 - Prob. 152PCh. 4.9 - Prob. 153PCh. 4.9 - Prob. 154PCh. 4.9 - Prob. 155PCh. 4.9 - Prob. 156PCh. 4.9 - Prob. 157PCh. 4.9 - Prob. 158PCh. 4.9 - A beam of unsymmetric cross section is subjected...Ch. 4.9 - Prob. 160PCh. 4.10 - For the curved bar shown, determine the stress at...Ch. 4.10 - For the curved bar shown, determine the stress at...Ch. 4.10 - Prob. 163PCh. 4.10 - Prob. 164PCh. 4.10 - The curved bar shown has a cross section of 40 60...Ch. 4.10 - Prob. 166PCh. 4.10 - Prob. 167PCh. 4.10 - Prob. 168PCh. 4.10 - The curved bar shown has a cross section of 30 30...Ch. 4.10 - Prob. 170PCh. 4.10 - Prob. 171PCh. 4.10 - Three plates are welded together to form the...Ch. 4.10 - 4.173 and 4.174 Knowing that the maximum allowable...Ch. 4.10 - Prob. 174PCh. 4.10 - Prob. 175PCh. 4.10 - Prob. 176PCh. 4.10 - Prob. 177PCh. 4.10 - Prob. 178PCh. 4.10 - Prob. 179PCh. 4.10 - Knowing that P = 10 kN, determine the stress at...Ch. 4.10 - Prob. 181PCh. 4.10 - Prob. 182PCh. 4.10 - Prob. 183PCh. 4.10 - Prob. 184PCh. 4.10 - Prob. 185PCh. 4.10 - Prob. 186PCh. 4.10 - Prob. 187PCh. 4.10 - Prob. 188PCh. 4.10 - Prob. 189PCh. 4.10 - Prob. 190PCh. 4.10 - For a curved bar of rectagular cross section...Ch. 4 - Two vertical forces are applied to a beam of the...Ch. 4 - Prob. 193RPCh. 4 - Prob. 194RPCh. 4 - Determine the plastic moment Mp of a steel beam of...Ch. 4 - In order to increase corrosion resistance, a...Ch. 4 - The vertical portion of the press shown consists...Ch. 4 - The four forces shown are applied to a rigid plate...Ch. 4 - Prob. 199RPCh. 4 - Prob. 200RPCh. 4 - Three 120 10-mm steel plates have been welded...Ch. 4 - A short length of a W8 31 rolled-steel shape...Ch. 4 - Two thin strips of the same material and same...
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