Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 4th Sem 3140603 Structural Analysis I Previous Question Paper

Enrolment No.___________

**GUJARAT TECHNOLOGICAL UNIVERSITY**

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

**Subject Code: 3140603**

**Date:27/10/2020**

**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.**

**MARKS**

**Q.1 (a)**Define statically determinate and indeterminate

**03**

structures.

**(b)**Determine the radius (eccentricity e) of core for a hollow

**04**

circular cross section.

**(c)**A steel rod 500mm2 in cross section and 2m long is

**07**

vertically suspended from a rigid support. Determine the

height from which a weight of 100N should be allowed to

fall on the collar so as to produce a maximum stress of 40

N/mm2 in the rod. E=2x105 N/mm2

**Q.2 (a)**Explain gradual load, sudden load and load applied with

**03**

impact.

**(b)**State and prove Maxwell's reciprocal theorem.

**04**

**(c)**A beam simply supported over a span of 6m is carrying a

**07**

point load of 50 kN at 1.20 m from right hand support.

Calculate using Macaulay's Method the position and

amount of maximum deflection. Take EI=20,000 kNm2.

**OR**

**(c)**A cantilever beam of span 'l' is subjected to udl `w' on the

**07**

entire span. Find the slope and deflection at the free end

by Conjugate beam method.

**Q.3 (a)**Distinguish between Truss and Frame.

**03**

**(b)**Write the assumptions and limitations of Euler's formula.

**04**

**(c)**A pier supports a vertical load of 50 kN as shown in figure

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1. F

ind the stresses at each corner of the pier.

**OR**

**Q.3 (a)**Derive the expressions for Hoop and longitudinal stresses

**03**

in a thin cylinder.

**(b)**Explain Eddy' theorem

**04**

**(c)**A mild steel tube 4m long, 30 mm internal diameter and

**07**

4mm thick is used as strut with both the ends hinged. Find

the collapse load. What will be the collapse load if both

the ends are fixed?

**Q.4 (a)**Define: 1)Resilience, 2) Proof Resilience and 3) Modulus

**03**

of Resilience

**(b)**Define a conjugate beam and how we can determine slope

**04**

and deflection?

**(c)**Analyze the beam shown in figure 2 by moment

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distribution method.

**OR**

1

**Q.4 (a)**Discuss middle third rule.

**03**

**(b)**Explain static and kinematic indeterminacy

**04**

**(c)**Discuss the stability conditions for a dam subjected to

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hydrostatic pressure.

**Q.5 (a)**Discuss various types of Arches.

**03**

**(b)**Derive the expression for strain energy stored in a beam.

**04**

**(c)**A propped cantilever beam of span `L' is subjected to a

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point load `P' at mid span. Determine the reactions at the

supports.

**OR**

**Q.5 (a)**Define slenderness ratio, radius of gyration and effective

**03**

length for a long column.

**(b)**Derive the expression for horizontal reaction, tension at

**04**

the ends for a uniformly loaded cable.

**(c)**Check the stability and calculate the degree of redundancy

**07**

for the trusses shown in figure 3 and 4

Figure-1

Figure-2

Figure-3

Figure-4

2

This post was last modified on 04 March 2021