Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 3rd Sem Old 130604 Structural Analysis I Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (Old) EXAMINATION ? WINTER 2019
Subject Code: 130604 Date: 03/12/2019
Subject Name: Structural Analysis-I
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Differentiate static and kinematic indeterminacy. Also explain these terms with
respect to fixed beam.
07
(b) A cylindrical shell of length 3 m and internal diameter 1m has a thickness of 12
mm. If the shell is subjected to an internal pressure of 1 N/mm
2
, find
circumferential & longitudinal stresses, maximum shear stress, and the change in
the volume. Take E = 200 x 10
3
N/mm
2
, ? = 0.27.
07
Q.2 (a) (1) Define: Strain energy, modulus of resilience, Influence line
(2) Derive an expression of slope at supports for the simply supported beam
Subjected to point load at the centre of the beam by conjugate beam method.
07
(b) Find the slope and deflection at the point B & C for the beam as shown in fig. 1
By moment area method. Take I= 5 x 10
8
mm
4
, E= 2 x 10
5
N/mm
2
07
OR
(b) A hollow cast iron section having external dia 250mm and thickness 25mm is
used as 4.5m long column with both ends fixed. Find safe crippling load by (a)
Euler?s and (b) Rankine?s formula. Take FOS=3.5 and maximum
comp.stress=500 N/mm
2
& constant ?=1/1600 , E=0.14?10
5
N/mm
2
07
Q.3 (a) A simple support beam has span of 20m and loaded by a train of wheels as shown
in the fig 2. Calculate the maximum bending moment and shear force induced at
8m from left support.
07
(b) (1) State the Maxwell Reciprocal theorems.
(2) Define proof resilience, Modulus of resilience & Core of section.
07
OR
Q.3 (a) A three hinged parabolic arch of span 12 m and rise 2.5m carries uniformly
distributed load of 30 kN/m over the left half of the span. Calculate the reactions
at the end hinges. Calculate the bending moment, radial shear and normal thrust
at a distance of 3m & 7.5 m from the left Support.
07
(b) Find static indeterminacy and kinematic indeterminacy of structures given in
Fig.3 and Fig.4.
07
Q.4 (a) A simply supported beam loaded as shown in fig 5. If for the beam I
= 160 x 10
6
mm
4
and E = 200 GPa. Calculate the deflection under loads using
Macaulay?s method.
07
(b) Draw S.F.D & B.M.D &axial force diagram for the rigid jointed portal frame
shown in fig 6.
07
OR
Q.4 (a) A suspension cable having the left support is 4.75 m above the right support has
a span of 50m and a maximum dip of 6m. The cable is loaded with a uniformly
distributed load of 28 kN/m throughout its length. Find the maximum tension in
the cable.
07
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?III (Old) EXAMINATION ? WINTER 2019
Subject Code: 130604 Date: 03/12/2019
Subject Name: Structural Analysis-I
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Differentiate static and kinematic indeterminacy. Also explain these terms with
respect to fixed beam.
07
(b) A cylindrical shell of length 3 m and internal diameter 1m has a thickness of 12
mm. If the shell is subjected to an internal pressure of 1 N/mm
2
, find
circumferential & longitudinal stresses, maximum shear stress, and the change in
the volume. Take E = 200 x 10
3
N/mm
2
, ? = 0.27.
07
Q.2 (a) (1) Define: Strain energy, modulus of resilience, Influence line
(2) Derive an expression of slope at supports for the simply supported beam
Subjected to point load at the centre of the beam by conjugate beam method.
07
(b) Find the slope and deflection at the point B & C for the beam as shown in fig. 1
By moment area method. Take I= 5 x 10
8
mm
4
, E= 2 x 10
5
N/mm
2
07
OR
(b) A hollow cast iron section having external dia 250mm and thickness 25mm is
used as 4.5m long column with both ends fixed. Find safe crippling load by (a)
Euler?s and (b) Rankine?s formula. Take FOS=3.5 and maximum
comp.stress=500 N/mm
2
& constant ?=1/1600 , E=0.14?10
5
N/mm
2
07
Q.3 (a) A simple support beam has span of 20m and loaded by a train of wheels as shown
in the fig 2. Calculate the maximum bending moment and shear force induced at
8m from left support.
07
(b) (1) State the Maxwell Reciprocal theorems.
(2) Define proof resilience, Modulus of resilience & Core of section.
07
OR
Q.3 (a) A three hinged parabolic arch of span 12 m and rise 2.5m carries uniformly
distributed load of 30 kN/m over the left half of the span. Calculate the reactions
at the end hinges. Calculate the bending moment, radial shear and normal thrust
at a distance of 3m & 7.5 m from the left Support.
07
(b) Find static indeterminacy and kinematic indeterminacy of structures given in
Fig.3 and Fig.4.
07
Q.4 (a) A simply supported beam loaded as shown in fig 5. If for the beam I
= 160 x 10
6
mm
4
and E = 200 GPa. Calculate the deflection under loads using
Macaulay?s method.
07
(b) Draw S.F.D & B.M.D &axial force diagram for the rigid jointed portal frame
shown in fig 6.
07
OR
Q.4 (a) A suspension cable having the left support is 4.75 m above the right support has
a span of 50m and a maximum dip of 6m. The cable is loaded with a uniformly
distributed load of 28 kN/m throughout its length. Find the maximum tension in
the cable.
07
2
(b) Differentiate between statically determinate structures and statically
indeterminate structures. Also give advantages and disadvantages of
indeterminate structures.
07
Q.5 (a) Derive the expression for longitudinal stress for a thin cylindrical vessel
subjected to internal fluid pressure p.
07
(b) Draw core diagrams with formulas for rectangular and circular sections. 07
OR
Q.5 (a) A short column rectangular section 250mm ? 200mm is subjected to a load of
400KN at a point 50 mm from longer side and 100 mm from shorter side. Find
maximum and minimum stresses in the column.
07
(b) Derive Euler?s formula for column with both ends are hinged. 07
*************
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This post was last modified on 20 February 2020