Problem 3.1. A 1-in-diameter solid bar (1), a square solid bar (2), and a circular tubula member with 0.2-in. wall thickness (3), each supports an axial tensile load of 5 kips. (u) Determine the axial stress in bar (1). (b)lf the axial stress in each of the other bars is 6 ksi, what is the dimension, b, of the square bar, and what is the outer diameter, e, of the tubular member? 1=0.2 in. I in. (1) (3)

Structural Analysis
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Chapter2: Loads On Structures
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Karbala University
College ol Engineering
Department of Cvil Eng.
Lecturer: Assi. Prol. Dr. Jawad T. Abodi
Problems
Problem 3.1. A 1-in.-diameter solid bar (1), a square solid bar (2), and a circular tubular
member with 0.2-in. wall thickness (3), each supports an axial tensile load of 5 kips.
(a) Determine the axial stress in bar (1).
(b)lf the axial stress in each of the other bars is 6 ksi, what is the dimension, b, of the
square bar, and what is the outer diameter, e, of the tubular member?
1=0.2 in.
I in.
(1)
(2)
(3)
Problem 3.2. Consider the free-hanging rod shown in
Figure (problem 3.2). The rod has the shape of a conical
frustum, with radius Ro at its top and radius R, at its bottom,
and it is made of material with mass density. The length of
the rod is L. Determine an expression for the normal stress,
(x), at an arbitrary cross section x (0 SxSL), where x is
meusured downward from the top of the rod.
of Eng
Figure (problem 3.2)
Problem 3.3. A solid brass rod AB and a solid aluminum rod BC are connected together
by a coupler at B, as shown in Figure ( problem 3.3). The diameters of the two segments
are di=60 mm and d =50 mm, respectively. Determine the axial stresses o, (in rod AB)
and oz (in rod BC).
(1)
150 KN (2)
50 kN
Figure (problem 3.3)
Karbala University
College el Engineering
Department el Cil Eng
Lecturer: Asst. Prol. Dr. Jawad T. Abedi
Problem 3.4. A column in a two-story building is fabricated from square structural tubing
having the cross-sectional dimensions shown in Figure (Problem 3.4) Axial koads Pa
=200 kN and Ps =350 kN are applied to the column at levels A and B, as shown in Figure
(Problem 3.4a). Determine the axial stress a, in segment AB of the column and the axial
stress a, in segment BC of the column. Neglect the weight of the column itself.
P- 200 kN
150 mm,
-12 mm
150 mm
(1)
P-350 AN
(2)
-15 mm
200 mm
200 mm
(a)
Figure (Problem 3.4)
of Eng
Transcribed Image Text:Karbala University College ol Engineering Department of Cvil Eng. Lecturer: Assi. Prol. Dr. Jawad T. Abodi Problems Problem 3.1. A 1-in.-diameter solid bar (1), a square solid bar (2), and a circular tubular member with 0.2-in. wall thickness (3), each supports an axial tensile load of 5 kips. (a) Determine the axial stress in bar (1). (b)lf the axial stress in each of the other bars is 6 ksi, what is the dimension, b, of the square bar, and what is the outer diameter, e, of the tubular member? 1=0.2 in. I in. (1) (2) (3) Problem 3.2. Consider the free-hanging rod shown in Figure (problem 3.2). The rod has the shape of a conical frustum, with radius Ro at its top and radius R, at its bottom, and it is made of material with mass density. The length of the rod is L. Determine an expression for the normal stress, (x), at an arbitrary cross section x (0 SxSL), where x is meusured downward from the top of the rod. of Eng Figure (problem 3.2) Problem 3.3. A solid brass rod AB and a solid aluminum rod BC are connected together by a coupler at B, as shown in Figure ( problem 3.3). The diameters of the two segments are di=60 mm and d =50 mm, respectively. Determine the axial stresses o, (in rod AB) and oz (in rod BC). (1) 150 KN (2) 50 kN Figure (problem 3.3) Karbala University College el Engineering Department el Cil Eng Lecturer: Asst. Prol. Dr. Jawad T. Abedi Problem 3.4. A column in a two-story building is fabricated from square structural tubing having the cross-sectional dimensions shown in Figure (Problem 3.4) Axial koads Pa =200 kN and Ps =350 kN are applied to the column at levels A and B, as shown in Figure (Problem 3.4a). Determine the axial stress a, in segment AB of the column and the axial stress a, in segment BC of the column. Neglect the weight of the column itself. P- 200 kN 150 mm, -12 mm 150 mm (1) P-350 AN (2) -15 mm 200 mm 200 mm (a) Figure (Problem 3.4) of Eng
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