INSTITUTE OF AERONAUTICAL ENGINEERING
Dundigal, Hyderabad -500 043
CIVIL ENGINEERING
ASSIGNMENT
Course Name
: STRENGTH OF MATERIALS - II
Course Code
: A40115
Class
: II B. Tech II Semester
Branch
: Civil Engineering
Year
: 2014 – 2015
Course Faculty
:
Mr K. Govind Goud, Assistant Professor; Mr K.Varsha Reddy, Assistant Professor
OBJECTIVES
This course is offered to undergraduate students and it deals with the analysis of beams and framed structures
subjected different loading conditions and calculation of resulting S.F, B.M & displacements because they are
directly related to the safety & serviceability of the structural system.
S. No
Question
Blooms
Taxonomy
Level
Course
Outcome
ASSIGNMENT-I
UNIT-I
ANALYSIS OF PERFECT FRAMES
1.
Define static indeterminacy
Remember
a
2
Explain different types of indeterminacies
Understand
a
3
Explain internal indeterminacy
Remember
a
4
5
Define Tension Coefficient
State Kinematic indeterminacy
Understand
Remember
a
a
6
In the cantilever truss shown in fig. Calculate reaction at A.
Analyze
a
7
Using method of Tension Coefficient analysis, determine the forces in the
members of the plane truss shown in fig.
Analyze
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c
S. No
Question
Blooms
Taxonomy
Level
Course
Outcome
8
Find the force in all members of the truss shown in Figure 12.55 by method
of joints.
Analyze
c
9
Analyze the plane truss shown in figure using the method Tension
Coefficients and find the forces in the members.
Analyze
c
Analyze
c
10
1
2
3
UNIT-II
ENERGY THEOREMS AND THREE HINGED ARCHES
Define term deflection of a beam.
Remember
State conjugate beam theorem
Remember
4
Write relation between load, shear force and bending moment acting on a
structure
State moment area theorems
5
Define strain energy
6
Define moment area theorem and explain its applications in beams.
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a
a
Analyze
b
Analyze
a
Remember
a
apply
a
S. No
Question
Blooms
Taxonomy
Level
evaluate
Course
Outcome
7
A beam of 12m span is subjected to a point load of 125kN at point E as
shown in figure 1. Find the slopes at point A, B, C & E and the deflections
at points C, D & E . Use conjugate beam method.
8
An overhanging beam PQR is loaded as shown in figure 2 . Find the slopes
over each support at the right end. Find the maximum upward deflection
between the supports. Use Macaulay’s method. Take E = 2.1×10 5 N/mm2 , I
= 6×108 mm4.
evaluate
b
9
A beam AB of 4m span is simply supported as shown in figure 3, determine
: TakeE=2×108kN/mm2,I=2×10-5m4
a) Deflection at C,
b) Maximum deflection
evaluate
b
10
A cantilever AB of length L is subjected to a concentrated load w and a
couple u at the free end, as shown in figure 4, determine the slope and
deflection at the free end by moment area method. EI (flexural rigidity) is
constant.
Analyze
b
Understand
c
Evaluate
c
Evaluate
c
Evaluate
b
c
1
2
3
4
5
6
7
UNIT-III
PROPPED CANTILEVER AND FIXED BEAMS
What are the reaction values for propped cantilever beam when it carries
point load and udl
Calculate maximum bending moment for a propped cantilever beam which
carries a udl of 10Kn/m for a span of 2m
Calculate point of contra flexure for propped cantilever beam has a 4m
length carries point load of 20KN at free end
Difference between cantilever beam and propped cantilever beam
Calculate deflection at mid span for a propped cantilever beam of load
10Kn/m for a span of 4m
A fixed beam ab, 5m long, carries a point load of 48kn at its center. the
moment of inertia of the beam is 5x107 mm4 and value of E for the beam
materials is 2x105 N/mm2. Determine Fixed end moments at A and B, and
Deflection under the load.
A fixed beam of length 5m carries a point load of 20KN at a distance of 2m
from A. Determine the fixed end moments and deflection under the load, if
the flexural rigidity of the beam is 1x104 Kn/m2
3|Page
b
Evaluate
Analyze
b
Analyze
b
S. No
8
9
10.
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
Question
Blooms
Taxonomy
Level
Analyze
A fixed-ended beam of 9m span carries udl of 15Kn/m (including its own
weight) and two pint loads of 200kn at the third point in the span. Assuming
rigid end fixing. Find the fixing moment.
For a rigidly fixed beam AB of 5m span carrying udl of 10Kn/m, over the
Analyze
entire span, locate the points of contra-flexure and draw the S.F and B.M
diagrams.
A beam built in at both the ends is loaded with a triangular loading on its
Analyze
one half of the span, the other load half carries no load. The load gradually
increases from zero at the fixed end to 15Kn/m at mid span. The span of the
beam is 5m. Determine the bending moments.
ASSIGNMENT – II
UNIT-1V
SLOPE DEFLECTION AND MOMENT DISTRIBUTION METHOD
State Clapeyron’s three moment theorem and write equation also.
Understand
What is the effect of sinking of support in Three moment theorem
Understand
Explain Continuous beam with neat diagram
Analyze
Derive Slope deflection equation in continuous beam
evaluate
What is the effect of sinking of support in slope deflection method
Analyze
Draw S.F and B.M diagrams for a continuous beam loaded as shown I fig.
Analyze
A continuous beam ABCD 20m long is continuous over 3 spans. AB=8m,
BC=4m, CD=8m. Moment of inertia is 2I, that of BC is I and that of CD is
2I. There is a UDL load of 1500 N/m over spans AB and BC. On the span
CD there is a central load of 4000N. The ends are fixed and during loading
the support B sinks by 1cm. Find the fixed end moments using slope
deflection method. I=1600cm4 and E=200GPa
Using Slope Deflection method obtain the support moments for the 2-span
continuous beam shown below. Sketch BMD.
Using Claperoyn’s method finds the support movements for the 2-span
continuous beam loaded as shown below figure 2. Sketch the B.M.D.
Using moment distribution method, analyse the 2-span continuous
beam ABC, having end supports A and C fixed. There is a load of 5
kN in span AB=5 m at 3 m from A, while on span BC there is a load
of 8 kN at 2.5 m from C. Sketch the B.M.D
UNIT-V
MOVING LOADS AND INFLUENCE LINES
Explain the term “Focal Length”.
Define Influence Line.
List out the uses of Influence lines.
State Muller Breslau’s Principle.
Where do you get rolling loads in practice
Two point loads of 125kN and 250kN spaced 4m in figure 1, apart cross a
girder of 17.5m from left to right with the 125kN load leading. Draw the
influence line for the bending moment and find the value of maximum
bending moment at a section C, 7.5m from the left hand support. Also find
the absolute maximum bending moment due the given load system.
4|Page
Course
Outcome
c
d
c
a
b
a
b
a
h
Analyze
h
Analyze
h
Analyze
i
Analyze
i
b
Evaluate
Understand
Remember
Apply
Remember
Analyze
a
a
a
a
h
S. No
7
Question
Blooms
Taxonomy
Level
Figure 1
Four wheel load of 7,5,9 & 6 kN cross a girder of span 22.5m from the left
to right followed by an UDL of 5kN/m of 4m length. The 7kN load is
leading. The spacing between the loads are shown in fig 2. The head of
UDL is 3m from the last load of 6kN. Using influence lines calculate the
shear force and bending moment at a section 8m form the left support when
the 5kN load is at the center of span.
Course
Outcome
Analyze
h
8
Figure 2
Draw the influence line diagrams for the forces in the members P, Q, & R
of the truss shown in fig 3.
Analyze
f
9
Figure 3
Draw the influence lines for the members U1U2,, L2L3, U3L3, & U4L4 of the
deck type girder shown in figure 4.
Analyze
f
10
Figure 4
Sketch the influence line diagram for S.F. and B. M. at 4 m from the left
end of a simply-supported girder of span 10 m. Hence find the maximum
S.F. and maximum B.M. at the section if two wheel loads of 8 kN and 16
kN spaced 2 m apart move from left to right.
Analyze
h
Prepared By: Mr K. Govind Goud, Assistant Professor
HOD, CIVIL ENGINEERING
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