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 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 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
Solution Assignment 1
CIVL 231
Solid Mechanics II
Problem:
The overhang beam AE is subject to uniform loadings in the regions AB and DE, together with a
couple acting at the midpoint C as shown in figure.
The beam is a cross-section composed of an I-beam
Solution Assignment 4
CIVL 231
Solid Mechanics II
Problem 1:
An overhanging W 14x82 steel beam (E=29x103ksi; I=881 in4) 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 defl
Solution Assignment 2
CIVL 231
Solid Mechanics II
Problem:
A 8.0m long cantilever IPN 550 wide-flange beam (section properties given in Table below) is
loaded by its weight and two forces F1 = 16kN and F2 = 8kN (see figure).
Assume a plain state of stress
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 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 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
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 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 Assignment 3
CIVL 231
Solid Mechanics II
Problem 1:
A vertical pole is fixed at the base and pulled at the top by a cable having a tensile force T. The
cable is attached at the outer edge of a stiffened cover plate on top of the pole at an angle
Assignment 4a Solution
CIVL 231
Solid Mechanics II
Problem 1:
A rectangular beam with semicircular notches has dimensions h=100mm and h1=80mm.
The allowable bending stress is Y=5MPa, and the bending moment is M=150Nm.
b
Task: Determine the minimum require
Assignment 4b Solution
CIVL 231
Solid Mechanics II
Problem 1:
Consider a W 410x114 wide- flange beam:
(Note: cross- sectional dimensions and section modulus of the beam to be found in Table F- 1)
Task:
Determine the yield moment MY, plastic moment MP, and
Assignment 1b Solution
CIVL 231
Solid Mechanics II
1) Select the critical location along the length of the beam! (ignore stress concentrations!)
2) Select points of interest along 2-2 axis of the beam cross section!
Normal (
and
), shear (
Revised January
Assignment 3b Solution
CIVL 231
Solid Mechanics II
The end of the cantilever beam BD rests on the
beam ABC and is loaded by 1400lb. The two
beams are made of steel (E=29x103ksi) and
have cross sections of 4in x 10in. =12x10-6/C
Shear forces and bending mo
Team exercises Module 3 Temperature
CIVL 231
Solid Mechanics II
Exercise 1
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Team exercises Module 3 Temperature