Diploma-Diploma Civil Engineering 3rd Sem Mechanics of Structure I(Gujarat Technological University-2013)
Friday, 30 August 2013 04:15anudouglas
GUJARAT TECHNOLOGICAL UNIVERSITY
Diploma Engineering - SEMESTER – III • EXAMINATION – WINTR 2012
Subject code: 330603 Date: 04/01/2013
Subject Name: Mechanics of Structure - I
Time: 02.30 pm - 05.00 pm Total Marks: 70
Instructions:
1. Attempt any five questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. English version is considered to be Authentic.
Q.1 (a) Define following terms.
(1) Lateral Strain (2) Poisson’s Ratio (3) Bulk modulus
(4) Factor of Safety (5) Moment of Resistance (6) Strain Energy (7) Shear stress 07
(b) A hollow steel column of external diameter 250mm has to carry an axial load of
1000 KN. If ultimate stress for the steel is 400 N/mm2, Find the internal diameter of
column. Take factor of safety as 2. (07)
Q.2 (a) A reinforced concrete column 300 × 300 mm in section is reinforced with 8 bars of
16 mm diameter carries a load of 400 KN. Find load carried by each material. Take
Es =2.1×105 N/mm2; Ec=0.14×105 N/mm2 (07)
(b) A member ABCD is subjected to point load P1, P2, P3, P4 as shown in figure No.1.
Calculate the force P2 necessary for equilibrium. If P1 = 50 KN, P3 = 450 KN, P4 =
180 KN. Determine the total elongation of bar if E = 2.1×105 N/mm2 (07)
OR
(b) A steel bar 4.5m long, 16mm in diameter is heated through a Temperature of 1000
c. Find change in length of the bar. If half of this expansion is prevented find
magnitude and nature of stress developed in the bar. If E=2.1×105 N/mm2 ; α = 12×10-6/0c
(07)
Q.3 (a) (1) Define moment of Inertia.
(2) State parallel & perpendicular axis theorems.
(3) Define radius of gyration.
(b) A steel bar 40mm wide, 10mm thick and 300mm long is subjected to an axial pull
of 100KN. Find change in length, width & thickness of the bar. Take E = 2×105 N/mm2
and μ = 0.3. (07)
OR
Q.3 (a) Find moment of Inertia about the base of an equal angle section of size 60 × 60 ×
6mm. (07)
(b) (1)A steel bar is 40mm in diameter and 3m long. Find maximum instantaneous stress and elongation induced when a pull of 120 KN is suddenly applied to it. E = 2×105
(2) State assumptions made in theory of simple bending. 04
Q.4 (a) Draw a shear force and bending moment diagram for the beam loaded. 07
(b) A rectangular section of size 100mm × 200mm is used as a simply supported beam
of 5.0m length. It is subjected to a central point load of 250KN. Find maximum
shear stress in section. 07
OR
Q. 4 (a) Draw a shear force and bending movement diagram for the beam loaded 07
(b) A steel beam of hollow square section of 50mm outer side and 5mm thick is simply
supported on a span of 5.0m. Find the maximum central point load the beam can carry if bending stress is not to exceed 100N/mm2 07
Q.5 (a) Find forces in all the members of a truss of a figure No.4 by graphical method. (10)
(b) (1)Differentiate between Perfect frame & imperfect frame with sketch 04
OR
Q.5 (a) Find forces in all the members of a truss of a figure No.4 by method of Joint 10
(b) Draw shear stress distribution diagram for the following section
(1) Hollow circular section
(2) Rectangular section
(3) Channel section
(4) T – Section.
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