Final Exam CIVL 23l
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Student Number: Page (3! I 4)
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Question Na.l (30 marks, 40 min).
The cantilever beam AB is xed to the wall at A
and pin connected to a 10mm diameter rod at B
as shown in the gure. The modulus of elasticity
ofbot
Solution Quiz 2
CIVL 231
Solid Mechanics II
Problem:
Two wooden beams (50mm deep, 100mm high) are glued together along a 40 degree joint.
The total length of the two beams is 2000 mm with point A being in the centre of the beam.
Task 1:
1a) Plot the norma
Solution Quiz 3
CIVL 231
Solid Mechanics II
Problem:
A wooden beam is loaded by a point load P as shown in the Figure.
Task1:Plotthenormalforce,shearforceandbendingmomentdiagrams!
Firstweresolvetheforce intoaverticalandahorizontalcomponent.Sincethehorizon
Solution Quiz 4
CIVL 231
Solid Mechanics II
A wooden beam (E=10GPa) is loaded by a point load P as shown in the Figure.
Determine the maximum normal and shear stresses in the cross section!
The maximum moment occurs at mid-span of beam A-B: Mmax= 3.375kNm
Solution Problem Set 5
CIVL 231
Solid Mechanics II
Problem:
Beam ABC is supported by beam DBE and pin-supported at point C. The beams are made of the
same material having a modulus of elasticity E=200GPa and moment of inertia I=25*106mm4.
2kN/m
A
B
2m
C
2
Solution Problem Set 3
CIVL 231
Solid Mechanics II
Task 1:
A beam of unbalanced cross section with the given dimensions is subjected to bending about its
strong (Z) axis. Determine the plastic Moment MP and shape factor f for Y=200MPa!
h=176mm;
btop=250mm
Solution Problem Set 6
CIVL 231
Solid Mechanics II
Problem:
A pin-supported spreader in a hoisting arrangement is a steel tube (E=210GPa; Y=210Mpa) with
outer diameter do=70mm and inner diameter di=60mm and length 2.5m.
a)
Based upon a 2.0 factor of safet
Solution Assignment 6
CIVL 231
Solid Mechanics II
Problem 1:
Consider a 24ft long W10x30 steel column with E=29000ksi, Y= 36ksi.
Task: Determine the maximum load for following support situations:
a) The column is pin supported at both ends and pin braced
Solution Problem Set 4
CIVL 231
Solid Mechanics II
An overhanging beam (L=5m, a=2m, E=200GPa, I=12.5*106mm4) is subjected to a Moment
MA=10kNm at point A.
P (additional load applied at mid-span between points B
and C; only to be considered for task 4)
1)
Solution Assignment 6
CIVL 231
Solid Mechanics II
Problem 1:
Consider a 24ft long W10x30 steel column with E=29000ksi, Y= 36ksi.
Task: Determine the maximum load for following support situations:
a) The column is pin supported at both ends and pin braced
Solution Problem Set 2
CIVL 231
Solid Mechanics II
Problem:
An overhanging W 14x82 steel beam (E=29x103ksi; =0.3) carries a uniformly distributed load
and a concentrated load P=236lb at its end as shown.
y
x
.
Tasks:
1. Draw the bending moment and shear f
Solution Quiz 5
CIVL 231
Solid Mechanics II
When the cantilever beam (E=200GPa, I=12.5 106mm4, h=140mm) is unloaded, there is a
0=5mm gap between the beam and the support B.
a) Determine all support reactions when the 3000N/m distributed load is applied!
Solution Quiz 6
CIVL 231
Solid Mechanics II
Problem 1:
The steel bar AB (E = 200GPa, Y = 360MPa) is assumed to be pin connected at its ends for y-y
axis buckling and loaded by a uniform load w = 3 kN/m.
Task:
Determine the factor of safety with respect to
Solution Quiz 6
CIVL 231
Solid Mechanics II
Problem 1:
The steel bar AB (E = 200GPa, Y = 360MPa) is assumed to be pin connected at its ends for y-y
axis buckling and loaded by a uniform load w = 3 kN/m.
Task:
Determine the factor of safety with respect to
P
H E
M C
T 3M3
L L
12 la /3 L13 R5
0
1-] Peach-ans - :2 515 = 206/ ijre' a?!) I'CJermhafj
2) Palmea' Shae tom: :
'P P
we 62,6153 6 We z Cm # Table 92- Cats: 4:
LA.) M L
0":8 = a( 831' _._:. 6 g MEL
u q 251 351' a 6521'
L MnCIJZ m) = 9M4
CIVL231
Assignment 6
Critical Loads of Columns, Columns with Eccentric Loads
1
Due Date: 31 March 2017
CIVL231
Assignment 6
Critical Loads of Columns, Columns with Eccentric Loads
2
Due Date: 31 March 2017
CIVL 231: Solid Mechanics II
Quiz #4, March 10, 2017 (problem 1 is required, problem 2 is optional)
Exam is closed book/notes. Calculators are allowed.
Problem 1 (10 points)
Beam AB has a fix support at A and a simple support with a rotational spring at B
CIVL 231: Solid Mechanics II
Quiz #5, March 17, 2017
Exam is closed book/notes. Calculators are allowed.
Problem (10 points)
The hat section shown in Figure 1 has constant thickness t = 10 mm.
1) Calculate the distance, e, from the centerline of the wall
CIVL 231: Solid Mechanics II
Quiz #3, March 3, 2017
Exam is closed book/notes. Calculators are allowed.
Problem
A beam ABC is simply supported by two linear elastic springs at A and B. The beam is supporting a
distributed load of maximum intensity q0 20 k
CIVL 231: Solid Mechanics II
Quiz #2, February 3, 2017
Exam is closed book/notes. Calculators are allowed.
A beam made up of two European unequal angles - type L 150 x 90 x 10 - is subjected to a
bending moment M= 5 kN having its vector at an angle = 20 f
CIVL 231: Solid Mechanics II
Quiz #1, January 20, 2017
Exam is closed book/notes. Calculators are allowed.
A wood beam reinforced by an aluminum channel section is L = 5 m long and supports a
uniform load of intensity q. The wood beam has a cross section
Solution Quiz 1
CIVL 231
Solid Mechanics II
Problem:
The beam consisting of three segments (which are connected by pins at B and E) is loaded by
two point loads and a uniformly distributed load (between points B and E) as shown.
3kN
G
0.8kN/m
3kN
B
E
H
A
Solution Problem Set 2
CIVL 231
Solid Mechanics II
Problem:
An overhanging W 14x82 steel beam (E=29x103ksi; =0.3) carries a uniformly distributed load
and a concentrated load P=236lb at its end as shown.
y
x
.
Tasks:
1. Draw the bending moment and shear f
Problem Set 1
CWL 231
Solid Mechanics II
Problem:
The beam is subject to a uniform loading in the region BC and a moment acting at C.
300N/m
BWHthc
A
2m
2m
400N.m
ii
The beam is a cross-section composed of an I-beam.
200mm
E
All the thicknesses= 20mm
E
C
Problem Set 2 Solution Task 2
CIVL 231
3
Solid Mechanics II
4
An overhanging W 14x82 steel beam (E=29x10 ksi; I=881 in ) carries a uniformly
distributed load and a concentrated load P at its end as shown.
a) Find the value of P for which there is zero def