Prob. 2.2-1. A Lin-diameter solid bar (1), a square solid in!
(2), and a circular tubular member with 0.2-in. wall thickmmw), T
each supports an axial tensile load of 5 kips. (a) Determim WI 1m.
axial stress in bar (1). (b) If the axial stress in each of
DProb. 4.3-5. The solid shaft in Fig. P4.3-5 is made of brass
that has an allowable shear stress Tallow = 100 MPa and a
shear modulus of elasticity G = 39 GPa. The length of the
shaft is L = 2 m, and over this length the allowable angle of '
twist is (bal
Prob. 46-2. A stepped aluminum-alloy shaft AC (G = 26
GPa) is subjeeted to an external torque T5 at B and isxed
to rigid supports at ends A and C, as shown in Fig. P4.6-2. (a)
Determine T1 and T2, the internal torques in segments AB L2 = 200 mm
and BC, re
. . _ Pub 5.2-1. For the simply supported beam AE in g.
, ~ 1 P5. 2- 1, (3) determine VC and Mc, the internal resultants
" f5 just to the left of the 20- kN load at C, and (b) determine V5
and M D ,the internal resultants just to the left of the 20- RN
Prob. 6.10-11. A beam has a channel shaped cross section, I
as shown in F1g.P6.10-11. I_f the maximum shearmg force _L
along the beam is a force of 8 kips acting vertically through
the centroid of the cross section, determine the maximum z C
Prob. 6.8-4 A simply supported beam AC of length L =
15 ft. supports -a concentrated load P = 15 kips at B, as
shown 1n Fig. P6. 8-4. The cross section of the timber beam
has nominal dimensions 8 1n. X 8 in. (See Appendix D. 8 for
the actual cross-section
Prob. 6.4-3. rsc'simpry supported been in Fig. 5.4.3 is.
subjected to a concentrated load of P = 200 kN at the center
of its span of L = 4_m and a uniformly distributed downward
load of intensity w u 50 kN/m over the half-span AB. The
allowable stress (ma
Prob. 3.5-1. Two uniform, linearly elastic members are
joined together at B, and the resulting two-segment rod is at-
tached to rigid supports at ends A and C. A single external
force, P3, is applied symmetrically around the joint at B.
Member (1) has mod
CE 313-003/ Spring 2017
A rigid beam of weight W hangs from three equally spaced
I rods, one made of steel (S) and two of aluminum (A). The
diameter of the rods is 1/8 in. Before they were loaded, all
three rods had the same length of 24 inches.
D Prob. 2.7-2. TWO bolts are used to form a joint connect-
ing rectangular bars in tension, as shown in Flg. P2.7-2.
Determine the required diameter of the bolts if the
average shear stress for the bolts is not to exceed 140 MPa
for the given loading of P
Prob. 2.8-4. The brass eye-bar in Fig. P2.8-4a has a diame-
ter (1, = 0.500 in. and is attached to a support bracket by a
brass pin of diameter (1, = 0.375 in. If the allowable shear (a)
stress in the pin is 12 ksi and the allowable tensile stress in
Prob. 2.6-3. A tensile specimen of a certain alloy has an
initial diameter of 0.500 in. and a gage length of 8.00 in.
Under a load P = 4500 lb, the specimen reaches its propor-
tional limit and is elongated by 0.0118 in. At this load the
diameter is reduc
Prob. 63-22. A structural tee section is used as a cantilever _ P 1 kN 600 Win
beam to support a triangular distributed load of maximum 46 mm
intensity w = 600 n/m and a concentrated load P = 1 kN,
as shown in Fig. P6.3-22. Determine the maximum tensile N
factor of safety). What is the required shear strength of the
glue joints (psi), if there is to be a factor of safety against
failure of the glue joints of FS = 3.0? That is, how strong
must the glue joint be so that the joints do not fail before
Prob. 3.4-8. A 12-ft beam AB that weighs W, = 180 lb sup-
ports an air conditioner unit that weighs Wu = 900 lb. The
beam, in turn, is supported by hanger rods (1) and (2), as
shown in Fig. 3.4-8. If the diameters of the rods are
d1 = d2 = g in., their le
Prob. 2.4-3. The data in Table P2.4-3 was obtained in a tensile W0 3 0.50 in.
test of a atbar steel specimen having the dimensions shown in
Fig. P2.4~3. (a) Plot a curve of engineering stress, 0', versus en-
gineering strain, 5, using the given data. (b)
DProb. 3.5-13. (a) With Fig. P3.5-11 and the data below, de-
termine the minimum cross-sectional area of support rod ( 1)
such that the maximum normal stress in that rod does not
exceed am 2 6 ksi when the load is P = 10 kips. (b) Derive
formulas to show
Prob. 6.3-7. A timber beam consists of four planks fastened
together with screws to form a box section 5.5 in. wide and
8.5 in. deep, as shown in Fig. P6.3-7. If the exural stress at
point B in the cr'oss section is 900 psi (T), (3) determine the'
Answer Sheet of Take-Home Proficiency Test/CE 313-002/Spring 2012
NAME _ ROW _
Answer to Problem 1
Answer to Problem 2
Answer to Problem 3
(i) A = _.
(ii) h = _.
(iii)a = _.
(iv)Slope = _.
(v) (xA, yA) = _.
(vi)= _ .
Ix = _.
FBC = _;
CE 313 - Mechanics of Solids
Elementary analysis of deformable solids subjected to force
systems. Concepts of stress and strain; one, two and threedimensional stress-strain relationships for the linear elastic solid.
CE 313 Mechanics of Solids
Section 001, Spring 2012
Class Periods: T & Th: 10:15-11:30 am
Class room: MN 323
M Shamim Rahman
Office: Mann Hall 408
email: [email protected]; phone: 515-7633
T, Th 3:00-4:00 pm (or other tim
Background Needed for CE 313: Mechanics of Solids
To learn concepts in Mechanics of Solids a student should be proficient in the following
Statics and Mathematics concepts
Forces, moments, resultant of forces and components of
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