Mechanics Of Materials, Si Edition
9th Edition
ISBN: 9789810694364
Author: Russell C Hibbeler
Publisher: Pearson Education
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Textbook Question
Chapter 9.4, Problem 9.64P
Determine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case.
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Stress, ksi
160
72
150-
140
80
70
༄ ྃ ༈ ཎྜ རྦ ༅ ཎྜ ྣཧྨ ➢
130
120
110
100
90
2.0
2.8
3.6
4.4
5
Wire diameter, mm
6.0
6.8
2
7.6
8.4
Compression and extension springs.
ASTM A227 Class II
Light service
Average service
0.020
0.060
0.100
0.140
0.180
0.220
0.260
0.300
0.340
0.380
0.420
0.460
0.500
Wire diameter, in
Torsional stress due to initial tension, ksi
10
४
20
Preferred
range
100
Stress, MPa
9.2
10.0
10.8
11.6
12.4
1100
1035
965
895
825
760
Severe service
690
620
550
50
150
3456789 10 11 12 13 14 15 16
Spring index, C = DJD
FIGURE 18-21 Recommended torsional shear stress in an extension spring due to initial tension (Data from Associated
Spring, Barnes Group, Inc.)
50
200
485
Stress, MPa
Bolted Joint Design
Bolted Frames
Total Force due to door weight: P =
240
lb
Number of Bolts: N =
Distance to Bolt C/L: a =
4
N/A
Bolt Material -
Allowable shear stress of bolt material: T₂ =
x Distance from Bolt centroid to bolt: x =
y Distance from Bolt centroid to bolt: y =
Degrees per Radian-
Results
y-Load on each bolt: F, =
Moment resisted by bolt pattern: M =
Radial distance from Bolt centroid to bolt: r =
Sum squares of all radial distances: Σr²
Force on each bolt to resist moment: F, -
Angle for force composition: e=
X-Force on each bolt to resist moment: F-
y-Force on each bolt to resist moment: Fly
Total y-Force on each bolt: Fy =
Resultant force on bolt 1: R₁ =
Required shear stress area for a bolt: A₂ =
ASTM Grade
A307 Steel
10,000
0
psi
from Table 20-1
3.0
57.296
in
degrees
lb per bolt
lb-in
Formula
FS-P/N
M-Px XB
r = (x² + y²)0.5
in²
Σ
4r²
Mr
F₁ =
Στ
lb
degrees
lb
lb
lb
Minimum Bolt Diameter: Din =
Rounded up Bolt Diameter: D =
55
P.
1.5 in
2 in (3x)
1 in
This bracket…
University of Babylon
Collage of Engineering/
Al-Musayab
Department of Automobiles
Final Examination/ Stage: 3rd
Notes:
Answer 4 questions only
2023-2202
Subject: Theory of vehicles
Date: 2023\06\10-Saturday
Time: Three Hours
Course 2nd Attempt 1st
Q1: A Hooke's coupling connects two shafts whose axes are inclined at 30°. The
of the driven shaft? Find the maximum value of retardation or acceleration and
driving shaft rotates uniformly at 600 rpm. What are the extreme angular velocities
state the angle where both will occur.
(12.5 Marks)
Q2: Four masses, A, B, C, and D), revolve at equal radii and are equally spaced
along a shaft. The mass B is 7 kg, and the radius of C and D make angles of 90°
and 240°, respectively, with the radius of B. Find the magnitude of the masses A,
C, and D and the angular position of A so that the system may be completely
balanced.
(12.5 Marks)
Q3: A cam has straight worked faces that are tangential to a base circle of diameter
90 mm. The follower is a roller…
Chapter 9 Solutions
Mechanics Of Materials, Si Edition
Ch. 9.3 - In each case, the state of stress x, y, xy...Ch. 9.3 - Given the state of stress shown on the element,...Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Also, find the corresponding orientation of the...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the maximum principal stress at point B.Ch. 9.3 - Determine the principal stress at point C.Ch. 9.3 - Prove that the sum of the normal stresses x + y =...Ch. 9.3 - 9-2. The state of stress at a point in a member is...
Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - 9-6. Determine the normal stress and shear stress...Ch. 9.3 - 9-7. Determine the normal stress and shear stress...Ch. 9.3 - *9-8. Determine the equivalent state of stress on...Ch. 9.3 - 9-9. Determine the equivalent state of stress on...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the equivalent slate of stress on an...Ch. 9.3 - *9-12. Determine the equivalent state of stress on...Ch. 9.3 - 9-13. Determine the equivalent state of stress on...Ch. 9.3 - 9-14. The state of stress at a point is shown on...Ch. 9.3 - The state of stress at a point is shown on the...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - A point on a thin plate is subjected to the two...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - *9-20. Planes AB and BC at a point are subjected...Ch. 9.3 - The stress acting on two planes at a point is...Ch. 9.3 - The grains of wood in the board make an angle of...Ch. 9.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 9.3 - *9-24. The wood beam is subjected to a load of 12...Ch. 9.3 - 9-25. The wooden block will fail if the shear...Ch. 9.3 - 9-26. The bracket is subjected to the force of 3...Ch. 9.3 - 9-27. The bracket is subjected to the force of 3...Ch. 9.3 - 9-28. The 25-mm thick rectangular bar is subjected...Ch. 9.3 - 9-29. The 3-in. diameter shaft is supported by a...Ch. 9.3 - 9-30. The state of stress at a point in a member...Ch. 9.3 - 9-31. Determine the principal stress at point A on...Ch. 9.3 - 9-32. Determine the maximum in-plane shear stress...Ch. 9.3 - 9-33. The clamp bears down on the smooth surface...Ch. 9.3 - 9-34. Determine the principal stress and the...Ch. 9.3 - 9-35. The square steel plate has a thickness of 10...Ch. 9.3 - *9-36. The square steel plate has a thickness of...Ch. 9.3 - The shaft has a diameter d and is subjected to the...Ch. 9.3 - Prob. 9.38PCh. 9.3 - Prob. 9.39PCh. 9.3 - The wide-flange beam is subjected to the 50-kN...Ch. 9.3 - Solve Pro b. 9-40 for point B located on the web...Ch. 9.3 - Prob. 9.42PCh. 9.3 - Prob. 9.43PCh. 9.4 - Use Mohrs circle to determine the normal stress...Ch. 9.4 - Also, find the corresponding orientation of the...Ch. 9.4 - Draw Mohrs circle and determine the principal...Ch. 9.4 - Determine the principal stresses at a point on the...Ch. 9.4 - Determine the principal stresses at point A on the...Ch. 9.4 - Point A is just below the flange.Ch. 9.4 - Solve Prob.93 using Mohrs circle. 93. Determine...Ch. 9.4 - 9-45. Solve Prob. 9-6 using Mohr’s circle.
9-6....Ch. 9.4 - 9-46. Solve Prob. 9-14 using Mohr’s circle.
9-14....Ch. 9.4 - Solve Prob.911 using Mohrs circle. 911. Determine...Ch. 9.4 - *9-48. Solve Prob. 9-12 using Mohr’s...Ch. 9.4 - Solve Prob.916 using Mohrs circle. 916. Determine...Ch. 9.4 - Mohrs circle for the state of stress is shown in...Ch. 9.4 - Prob. 9.51PCh. 9.4 - Prob. 9.52PCh. 9.4 - 9-53. Determine the equivalent state of stress if...Ch. 9.4 - Prob. 9.54PCh. 9.4 - Prob. 9.55PCh. 9.4 - Prob. 9.56PCh. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - 9-58. Determine the equivalent state of stress if...Ch. 9.4 - Prob. 9.59PCh. 9.4 - Prob. 9.60PCh. 9.4 - 9-61. Draw Mohr’s circle that describes each of...Ch. 9.4 - The grains of wood in the board make an angle of...Ch. 9.4 - The post is fixed supported at its base and a...Ch. 9.4 - Determine the principal stresses, the maximum...Ch. 9.4 - The thin-walled pipe has an inner diameter of 0.5...Ch. 9.4 - 9-66. Determine the principal stress and maximum...Ch. 9.4 - Prob. 9.67PCh. 9.4 - The rotor shaft of the helicopter is subjected to...Ch. 9.4 - The pedal crank for a bicycle has the cross...Ch. 9.4 - A spherical pressure vessel has an inner radius of...Ch. 9.4 - The cylindrical pressure vessel has an inner...Ch. 9.4 - Determine the normal and shear stresses at point D...Ch. 9.4 - Determine the principal stress at point D, Which...Ch. 9.4 - If the box wrench is subjected to the 50 lb force,...Ch. 9.4 - If the box wrench is subjected to the 50-lb force,...Ch. 9.4 - Prob. 9.76PCh. 9.5 - Draw the three Mohrs circles that describe each of...Ch. 9.5 - Draw the three Mohrs circles that describe the...Ch. 9.5 - 9-79. The stress at a point is shown on the...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - 9-81. The stress at a point is shown on the...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - Prob. 9.85PCh. 9.5 - Prob. 9.86PCh. 9.5 - 9-87. Determine the principal stresses and...Ch. 9.5 - *9.88. Determine the principal stresses and...Ch. 9 - Prob. 9.89RPCh. 9 - Prob. 9.90RPCh. 9 - Prob. 9.91RPCh. 9 - The steel pipe has an inner diameter of 2.75 in....Ch. 9 - Determine the equivalent state of stress If an...Ch. 9 - The crane is used to support the 350-lb load....Ch. 9 - Determine the equivalent state of stress on an...Ch. 9 - The propeller shaft of the tugboat is subjected to...Ch. 9 - Determine the principal stresses in the box beam...Ch. 9 - Determine (a) the principal stresses and (b) the...Ch. 9 - Determine the stress components acting on the...
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