i
A7 TRIBHUVAN UNIVT;RSITY
.,,1
INSTITUTE OF ENGINEERINC
BCE
Examination Control Division i|1ogggnl lI/I
2or5 Ashwin ii-:d-b*-
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-*uet srclqqllyelqluq-(Cggz
in their own words as far as practicable'
candidates are required to give their answers
qttgnPt tAll
Attempt rr questions.
qwer,tv"o'
fneig6 in the margin'indicate FullMarks'
Assume suitable data if necessary'
mornent diagrams for the frame' Indicate
1. Draw axial force, shear force and bending tl6l
numerical values at salient points'
tzj
a) What is Product of inertia?
given figure below about the alres
b) Determine PrinciPal moment of inertia of the t10l
passing through the centroid'
45 cm
100 cm
30 cm
120 cm
a uniform bar of lenlth L and cross
3. a) Derive the expression for the total elongation of
tsl
section area A under its self weight'
b) Tlvocopperrodsandonesteelrodarehavingdiametler+.cm'leettrersupportaload
3000 kg as shown il d,jt"below. Dete-rmine the stresses in each rod' Take
t8l
E, = J x-196 kglcmz E" = 10u kglcnt
,{. a) For the state of plane stress shown in figure below deterrnine.
181
1* i) principal stresses ii) orientation ofprincipal planes
iii) ma<imum shearing stress iv) normal stress on the plane of maximum shear stress
b) Derive torsional equation. IJR
= 3 =9
L t8I
i. a) A simply supported beam of span 5m loaded with udl 4 lihlh. D&mine the
maximum value of bending stress 15 cm above the base of the craes slion. The
cross section is T-section as shown in figure. tSl
l0 crn
3m
b) Derive an expression for the Euler's formula for crippling load on acsliim with both
ends fixed.
t8l
Derive an expression for the volumehic strain of a thin walled cylinfticd rlesl with its
length'L' intemal diameter'd' and thickness 't'. t71
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, A7 TRIBHUVAN I.]NIVERSITY
INSTITUTE OF ENGINEERING
',*
Examination Control Division
2074 Chiltra
f"ti.ggt: Ft ""gth r|}v{"t ""l"JqEW
words as far as practicable'
Candidates are requked to give their answers in their own
Attempt Alt questions'
The figuies in the mqrgin indicate Full.Marks'
Asswme suitable data dnecessary.
given frame' Indicate
Draw axial force, shear force and bending moment diagran for the
numerical values at salient points- t16l
30 kN
20 kN/m 15 klt{/m
D
4m 4m
2.5 m
2.5 m
2. a) what do you understand by principle moment of inertia and principal axis? t4l
b) Detennine the principle moment of inertia of the given figure. [10j
T-
I
'-1
I
l I
3. Derive the expression fqr the total elongation due to the circular tapered bar. Two copper
rods and one iteel rod is of 3 cm diameter, together support a load of 5000 kg as shown in
figure below. Find the stresses in each rod. Take 'E' for steel and copper as
z1 n6 kg/cm2 and 106 kg I cm2. [6+6]