Maharashtra State Board of Technical Education 2012-4th Sem Diploma Civil Engineering for Subject Mechanics of Structures(12083) - Question Paper
MSBTE ques. Paper for Civil Engineering
Fourth Semester
Subject Mechanics of Structures(12083)
Scheme - E
Sample Question Paper
Course Name : Civil Engineering Groups Course Code : CE/CS/CR/CV Semester : Fourth Subject Title : Mechanics of Structures Marks : 100
Instructions:
12083
Tinu-: .VHourc
1. All questions are compulsory.
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CF
2. Illustrate your answers with neat sketches whenever necessarj
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3. Figures to the right indicate full marks. b'
4. Assume suitable data if necessary. #
5. Preferably write the answers in sequential'rdefr.
6. Use of Non Programmable scientific calculator is permissible
Q.l] A] Attempt SIX of the following: . |6x2=121
a] Define Elastic body & Plastic body.
b] Define shear stress & shear strain.
c] Define Poissons ratio? Give its expression.
d] Define bulk modulus along with expression
e] Draw bending stress distribution diagram for a rectangular beam used as a Cantilever.
f] State.relation between average & maximum shear stress for circular section.
g] Draw shear stress distribution diagram for a T beam showing details on it.
h] Define modulus of resilience and state its unit.
B1 Attempt TWO of the following: 12x4=081
a] Calculate the shear stress induced in a rivet used for double riveted lap joint, having 20mm as diameter & subjected to a load of 200kN.
b] A bar of 30 mm diameter is subjected to a pull of 60 kN. The measured exteasion
on a gauge length of 200 mm is 0.09 mm and change in diameter is 0.039 mm. Calculate the poisons ratio and modules of elasticity.
c] A steel bar 2.5m long is at a temperature of 20c. Find the free expansion of the bar
when the temperature of the bar is raised to 65c. Also find the magnitude & nature of stress developed if the expaasion is fully prevented.
Q. 2 ] Attempt FOUR of the following: [4x4=16]
a] A RCC column of 230 mm x 230 mm is reinforced with 4 bars of 12 mm dia. Determine the stresses induced in concrete and steel if ifis, subjected to an axial Load of 250kN. Take Ec= 12GPa and E,= 200GPa.
b] Determine the total elongation of the bar shown in below figure If E= 200GPa.
12mm 0
8mm 0
10 kN
> 10 kN
S'
v ' .Tn. .
'V
> 20mm 0
1000mm
500mm
800mm
Iis.l [Q:2fb)V
c] A bar of 20 mm in diameter is tested in tension on UTM .The loads at yield point, ultimate point and breaking points are 120kN, 200kN, and 160kN respectively. Final diameter of bar is 12 mm Determine the yield stress, ultimate stress, nominal breaking stress and actual breaking stress.
d] A bar is having dimensions 10 mm x 20 mm x 1000 mm It is subjected to an axial load of lOkN. Determine change in length & width of the section if Poissons ratio=0.28. Take E=2 X105 N/mm2
ep A':cube of 100 mm size is subjected to a direct load of 50kN on all its
r*f J
faces. Find the change in volume if K= 1.3GPa.
f] Calculate the strains induced in a cube of 500mm side in X, Y & Z direction if it is subjected to stress of 1200 N/mm2 (compressive) in X direction. 800N/mnr (tensile) in Y direction & 600 N/mm2 (compressive) in Z directioa
Q. 3 ] Attempt FOUR of the following: |4x4=16|
a] A simply supported beam of a span 5.8 m is having a cross section of 200 mm wide
and 500 mm deep. Calculate the intensity of uniformly distributed load the beam can carry if the bending stress is not to exceed 25 N/mrn'.
b] A cantilever beam of a building having span of 3m is subjected to a udl of 20kN/m
over entire spaa Determine the maximum bending stresses if the c/s of beam is 200mm x 400mm. Take E= 1.4GPa.
c] A beam having hollow rectangular section w'ith outer and inner dimensions, of 250mm x 250 mm and 150mm x 150mm respectively is subjected to shear force of 180kN. Calculate the ratio of maximum to average shear stress.
d] A bar of 32 mm diameter is subjected to a load of lOOkN winch is dropped
from a height of 300mm on to the collar attached at the other end of a bar. Determine the instantaneous stress induced due to this impact load. Take E = 200GPa.
e] A bar of 120 x 80mm & 2.5m long is subjected to a load of 80kN. Calculate the
strain energy stored in it if the load is applied suddenly.
o
Q. 4 ] Attempt TWO of the following: [2x8=16]
a] Draw SF and BM diagrams for the simply supported beam loaded as shown in below figure indicating all the values at important points.
,10k 20k J
y 5kN/m
A
-B
D
-H4-
>s, T.-
Fig.2 [Q:4(a)l
b] Draw SF and BM diagrams for an overhanging beam as shown in below figure. Locate the point of contra flexure if any.
5 kN
y lOkN/m
.1
B
4m
lm
Fig.3 (Q:4( b)]
c] Draw SF & BM diagrams for the cantilever beam loaded as shown in below figure. Indicate the values at important points.
|
5 kN 2 kN 2 kN | ||||||
|
B | |||||
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Fig.4 IQ:4(c>| Q. 5 ] Attempt TWO of the following: [2x8=16| a] Calculate the Ixx and Iyy for the unsymmetrical I section as showtt in below figure. |-200mm] | |
 |
Fig.5 |Q:5(a)]
%
b] Calculate the Ml of the section about the axis AB as shown in below figure.
|
400mm |
 |
|
Fig no 6 [Q5(b)| |
BOOmmm
f- B
c] Calculate the MI of a circular section having 400mm diameter about its tangent. Also calculate polar moment of inertia & radius of gyration of it.
Q. 6 ] Attempt TWO of the following: [2x8=16|
a] Determine the forces in the members AB, AF, AG & BG along with their nature for the frame subjected to loads as shown in below figure. Tabulate your results.
(Q:6(a & c)|
.i. . *
b] Determine the forces aljijpttiththeir nature in the members CD,CF and CG of the cantilever frame loaded shown in fig no. 8. Tabulate your results. Use
c] Determine the forces in the members CB, Cl, HG & HC along with their nature for the frame subjected to loads as shown in fig .no. 7 .Tabulate your results.
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Attachment: |
| Earning: Approval pending. |
