Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 4th Sem 2140603 Structural Analysis I Previous Question Paper

Enrolment No.___________

**GUJARAT TECHNOLOGICAL UNIVERSITY**

**BE - SEMESTER? IV EXAMINATION ? SUMMER 2020**

**Subject Code: 2140603**

**Date:28/10/2020**

**Subject Name: STRUCTURAL ANALYSIS-I**

**Time: 10:30 AM TO 01:00 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)**State assumptions and limitations of Euler's formula.

**03**

**(b)**A thin cylindrical shell of internal diameter d, wall thickness t

**04**

and length L, is subjected to internal pressure p. Derive the

expression for change in volume of the cylinder.

**(c)**Give equations of Static and Kinematics Indeterminacy for the

**07**

following structures with meaning of each term used.

(i)

Beam, (ii ) Plane truss, (iii) Plane Frame ,(iv) Grid

**Q.2 (a)**State and ex

plain principle of superposition.

**03**

**(b)**Explain Maxwell's theorem of reciprocal deflections.

**04**

**(c)**A hollow cast iron column 6m long is fixed at both ends and

**07**

thi

has an external diameter of 300mm. The column supports an

axial load of 1200kN. Find the internal diameter of the

column, adopting a factor of safety of 4. Take fc=550N/mm2

and =1/1600. E = 200 GPa

**OR**

**(c)**A cylindrical shell has 4.0 meter length, 1.2 meter diameter and

**07**

12 mm thickness. The shell is subjected to internal pressure of

and len

3 N/ gth

mm2 I

.c , is s

a

ubjec

lculate ted to inter

maximum nal pre

shear ssure

stre p.

ss a De

nd rive

c

ha the

nge in

expre

dime ssion fo

nsion

r cha

of she n

ll. ge

in volume of the cylinder.

**Q.3 (a)**Find out fixed end moment for a fixed beam carrying uniformly

**03**

distributed load w per meter length over entire span.

**(b)**State basic difference between fixed and simply supported

**04**

beams. State advantages of fixed beam over simply supported

beam.

**(c)**A fixed beam AB of span L carried a UDL of w per meter

**07**

length over entire span. Support B settles during application

of load. Calculate the settlement, so that there is no fixed end

mome

nt at B. Also find FEM at A.

**OR**

**Q.3 (a)**State and explain moment area theorem.

**03**

**(b)**Differentiate between real beam and conjugate beam. Justify

**04**

the support condition in conjugate beam.

**(c)**Find slope & deflection for the following structure by double

**07**

integration method

1

**Q.4 (a)**Define resilience, proof resilience and modulus of resilience.

**03**

**(b)**A simply supported beam AB of span 6m carries a uniformly

**04**

distributed load of 8 kN/ m over its entire span. Determine

strain energy stored in the beam due to bending in the beam.

Take E =200GPa, I =300 cm4.

**(c)**A steel rod is 3 m long and 50 mm in diameter. An axial pull

**07**

of 40 kN is applied to the rod. Take E = 200 GN/m2.Calculate

(i) Stretch in the rod (ii) Stress in the rod (iii) Strain energy

absorbed by the rod .

In above if 40 kN load is suddenly applied ,determine

(i) Instantaneous stress induced (ii) Instantaneous elongation

produced in the rod.

**OR**

**Q.4 (a)**Distinguish clearly between direct stress and bending stress.

**03**

**(b)**Show that for no tension in the base of a short column, the

**04**

line of action of the load should be within the middle third.

**(c)**A masonry dam 6.0 m high has 1.0 m top width and 4.0m

**07**

base width. It retains water on its vertical face for its total

height. Determine the stresses that develop at its base and

check the section for its stability. Assume the density of the

masonry to be 24 kN /m3, safe bearing capacity of the soil as

150 kN /m2 and the coefficient of friction between masonry

and foundation bed as 0.3.

**Q.5 (a)**State and explain Eddy's theorem.

**03**

**(b)**A three hinged parabolic arch has a span of 20m and central

**04**

rise 4m. It carries a point load of 18 kN at 6 m from the left

hinge. Calculate normal thrust, shear and B.M. at a section

4m from left end hinge. Also calculate maximum positive

B.M. and it's position. Draw B.M. diagram.

**(c)**A three hinged parabolic arch of span L and central rise "yc"

**07**

carries a uniformly distributed load of "w: per unit length

over the left half of the span. Show that the max positive

moment is equal to wl2/64

**OR**

**Q.5 (a)**Differentiate between

**03**

(i) Static determinacy and static indeterminacy

(ii) K

inematic determinacy and Kinematic indeterminacy

**(b)**Define the following terms.

**04**

(i) Crippling load (ii) Effective length, (iii) radius of gyration,

(iv) slenderness ratio.

**(c)**Find slope at A and deflection at E for a beam shown in figure

**07**

either by Macaulay's method or by conjugate beam method .

2

This post was last modified on 04 March 2021