Roll No_________
STRCUTURAL
MECHANICS
5th
Exam /Civil/5162
Duration 3 Hrs.
Note : Attempt any five questions. Questions No. 1 is
compulsory
1.
State true or false
a. The ultimate stress is the ratio of maximum load
to the original cross-sectional area.
b. Moment of inertia of a rectangle about its base
is
c. Shear strain is a measure of angle in radians through which the
body is distorted by the applied load.
d. A beam having more than two supports is known as over hanging
beam.
e. If a vertical pilla is subjected to an eccentric loading the
only stress produced is bending stress.
Fill in the blanks
f.
The ratio between tensile stress and tensile
strain is called_______
g.
The M.O.I of a circular lamina of dia ‘d’ is
_______
h.
Factor of safety is the ratio between ultimate
stress and _____
i.
The point at which the B.M.D changes sign form
positive to negative or vice – versa is called ______
j.
Strength of a column
depends upon its ______ ratio.
Differentiate between
2.
Modulus of rigidly and modulus of elasticity
a.
Bending moment and resisting moment
b.
Stope and deflection of a loaded beam
c.
Buckling load and safe working load.
d.
Perfect frame and deficient framed structures.
3. Find the moment of inertia of a L-section 100 x
120x 15 mm about x-x axis and y-y axis passing through the centric. Calculate
also redius of gyration about both the axes provided the centroid lies at 38.2
mm from base and at 28.8 mm from left hand edge of the section.
4. A square R.C.C column 400 mm x 400 mm carries
load of 1500 KN. Taking of elasticity in concrete and steel as 14x103 N/mm2 and
2.1 x 105 N/mm2 respectively , and the column consists of 8 No 20 mm dia. Bars.
Find compressive stress in concrete and steel.
5. Draw shearing force diagram and bending moment
diagram of a simply supported beam AB6 m long. It is loaded with 8KN, 8KN and
6KN at distances of 2m, 4m and 5m from left hand support A respectively
6. Find the width and depth of a timber beam of
rectangular section. Which can safely carry a u.d.i. of 15.2 KN/m over a span
of 10m. the max. permissible stress is limited of 8MN/M2 provided the width of
the beam is half of its depth.
7. Find the safe compressive load on a hollow cast
iron column whose one end is pin jointed and the other rigidly fixed. The outer
diameter is 150mm and inner dia. 100mm and height of the column is 10 m take
E=9.5 x 10 4 MN/ m2 and sue Euler’s formula with a factor of safety factor of
5.
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