Download SGBAU B-Tech 3rd Sem Chemical Engineering Strength Of Materials Question Paper

Download SGBAU (Sant Gadge Baba Amravati university) B-Tech/BE (Bachelor of Technology) 3rd Sem Chemical Engineering Strength Of Materials Previous Question Paper

B.chh. Third Semester (Chemical Engineering) (CGS)
10985 : Strength of Materials : 3 CH 03/3 PP 03/3 CT 03
P. Pages : 3 0 AW - 2996
Time : Three Hours lumen? Max. Marks ; 80
Notes : 1. Due credit will be given to neamess and adequate dimensions.
2. Assume suitable data wherever necessary.
3. Illustrate your answer necessary with the help of neat sketches.
SECTION ? A
l. a) Derive relation between Bulk modulus and Young's modulus. 5
b) A rectangular block 400 mmx250mm x100 mm is subjected to axial loads as follows : 9
i) 500 kN tensile in the direction of its length.
ii) 750 kN tensile on 400mm x100mm faces.
iii) 1000 kN compressive on 400mm x 250mm faces.
Assume p =0.25 and E = 2x105 N/mm2
Find volumetric strain and change in volume.
0R
2. 3) Explain the behaviors ofductile material under tensile load. 5
b) A compound bar consistingof steel and aluminum as shown in ?g. 1 is connected two 9
gn'ps at the ends at temperature of 60?C ?nd the stresses in two rods when temperature
falls to 20?C.
? Aluminium
k : Es=2x105N/mm2
g 280th 375 2 E as=l.l7x10_5/?C
f 5 mm mm ? EA=0.7x105N/mm2
/ N
3 (1A =2.34x10?5/?c
:
H?-???DK?-H
0.8m 0.6m
F ig. l
3. a) Derive relation between load intensity shear force and bending moment. 5
b) Draw SFD and BMD for the beam loaded as shown in ?g. 2. 8
ZOkN/m 40kN 20kN
-3; ._ ,. ,. [C B 1
AA 4} D
f 2m m 2m ? 1mm
RA RB Fig 2
OR
AW - 2996 , 1 ? P.T.0

a)
b)
a)
b)
b)
a)
b)
b)
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De?ne moment of resistance and section modulus. What are the assumptions in theory of
simple bending"
A cantilever beam is loaded with Udl of 20 kN/m intensity over it's span of 4m. Calculate
maximum bending stress. Provided cross section of beam being 300mm x 450mm .
State the assumption made in theory of pure torsion.
A solid circular shaft transmit 75 kW power at 200 RPM. Calculate minimum diameter
required if shear stress limited to 50 N / mm2 and twist in shaft is not to exceed 1? in 2 [11
length and modulus ot?rigidity is 1x105 N/ mmz.
OR
me the shape of shear stress distribution across the depth of beams of the following
cross sections.
1) Circular Section 2) '1? ? Section
?3) 1? Section
A rectangular beam is simpl y supponcd at both ends of 6m span and carries a Udl of 4 kN/m
over the entire span. 1f the maximum shear stress is ION/ mm2 and b =1.5d . Find the
values of b and d.
b = width of beam
d = depth of beam.
SECTION ? B
Show that in thin cylindrical shell subjected to internal ?uid pressure the circumferential
stress is twice the longitudinal stress
A th'n cylinder is made nfsteel of 120 cm diameter. 1.5 cm thick and 6 m long is subjected
to internal ?uid pressure 01' 2.5N, mmz. If E = 2x105N / mm2 and Poisson's ratio = 0.3.
Calc 11818 :
i) change in diameter
ii) change in length
iii) change in volume-
0R
State the assumption made in Euler?s column theory.
A 1.5 m long column has a circular cross section of 50 mm diameter one of the ends of
column is ?xed and other end is free. Taking factor of safety as 3.
Calculate the safe load using :
i) Rankine's formula
6c=560N/mm2and a=1/1600
ii) Euler's formula
li=1.2x105 N/mm2
Ix.)

10.
ll.
12.
b)
b)
1))
AW - 7.996
Derive an expression for strain energy stored in a body when the load is applied gradually.
A bar 20 mm in diameter and l m long is freely suspended and is provided with a collar at
lower end. A weight of 1000 N falls through a height of 250 mm on the collar. Calculate
the maximum instantaneous stress, elongation and strain energy stored in a bar.
Take l:'=2x105N/mm2
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Explain principal stresses and principal planes.
At a certain point in a strained material the stresses on two planes at right angles to each
2 2 2
other are 70 N / mm tensile and 35 N/ m compressive with'shcar stress 17.5 N / mm .
Determine :
i) Principal Stresses
ii) Principal Planes
iii) Maximum shear stress
Prove the relation
2 .
M = 131%
dx
M ? Bending moment
I - Moment of inertia
E ? Modulus of Elasticity
A simply supported beam of span 7m is loaded with a point load of 5 kN at a distance 2m
from left support. Determine de?ection under point load and slope at right support.
Take [i=2x105N/mmz;1:4.6x106mm4
OR
A simply supported of 6 m is loaded as shown in ?g. 3. Determine :
i) de?ection under each load.
ii) maximum de?ection.
iii) slope at pt. B.
48kN? 40kN
1m 1 2m 1 3m B
A1 c 0
Fig.3
5 2
E=2x10 N/mm
I=85x106mm4
*i*******
3
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