Gujarat Technological UniversitySummer 2025 examination

GTU 3140603 Structural Analysis-I Summer 2025 Question Paper & PDF

B.E. · Civil Engineering · Semester 4 · Subject code 3140603
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Total
70 marks
To pass
23 marks (33%)
Duration
2.5 Hours 10:30 AM – 1:00 PM
Questions
5 with internal choice
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Q.1

14 Marks
(a)
3 marks
Differentiate between direct stress and bending stress.
(b)
4 marks
State Moment Area theorems I and II.
(c)
7 marks

A vertical steel rod of uniform diameter, 3.0m long is rigidly secured at its upper end and a weight of 2 kN is allowed to slide freely on the rod through a distance of 25mm on to a collar at the lower end of the rod. Calculate the diameter of the rod, if the maximum strain is not to exceed 1/1600. Take E = 2 X 10⁵N/mm².

Q.2

14 Marks
(a)
3 marks

Find out fixed end moment for a fixed beam carrying uniformly distributed load for the whole span.

(b)
4 marks
Discuss Stability checks for a dam.
(c)
7 marks

A steel bar 1 meter in length is subjected to a pull such that the maximum stress is equal to 150 N/mm². Its cross-section is 200 mm² over a length of 950 mm and for the middle 50 mm length the sectional area is 100 mm². If E=2 X 10⁵N/mm², calculate strain energy stored in the bar.

(c)
7 marks

It is found that a bar 36 mm in diameter stretches 2.1 mm under a gradual load of 120 kN. If a weight of 1500 N is dropped on to a collar at the lower end of this bar, through a height of 60 mm before commencing to stretch the bar, calculate the maximum instantaneous stress and elongation produced in the bar.

Q.3

14 Marks
(a)
3 marks
Explain in brief about stability of structures
(b)
4 marks

Derive the relation between slope, deflection and radius of curvature of the beam.

(c)
7 marks

A fixed beam AB of span 6 m carries two point loads of 20 kN each at distance 1.5 m from each end. Draw S.F. and B.M diagrams for the beam.

(a)
3 marks
Draw neat sketch of kernel of the following cross-sections.
i). Rectangular block 200 mm x 300 mm
ii)Circular section of 300 mm diameter
(b)
4 marks
Derive formula for strain energy due to sudden loading.
(c)
7 marks
Explain in detail:
iMaxwell’s reciprocal them
iiPrincipal of superposition

Q.4

14 Marks
(a)
3 marks
Define(i) Strain energy
ii)Proof resilience
iii)Modulus of Resilience
(b)
4 marks

State basic difference between fixed and simply supported beams. State advantages of fixed beam over simply supported beam.

(c)
7 marks

A masonry dam 6 m high, 3 m wide at base and 1.2 m wide at top, retains water on vertical face for full height. Considering density of masonry as 17 kN/m³ and density of water as 10 kN/m³, find out maximum and minimum pressure intensities at the base.

(a)
3 marks
Justify the support condition in conjugate beam.
(b)
4 marks
Explain any two stability conditions for retaining wall.
(c)
7 marks

A masonry trapezoidal dam is constructed with following data. Find the width of the dam at base so that 'no tension' is occurred on section.

1Top width = 1m
2Height of dam = 5m
3wt. of water = 10 kN/m³
4Height of water on vertical face of dam = 4.8 m
5wt. of masonry = 20 10 kN/m³.

Q.5

14 Marks
(a)
3 marks

Explain with neat sketch: Effective length of column with d ifferent end conditions.

(b)
4 marks
Define and explain : Anchor cables.
(c)
7 marks

Calculate deflections under the loads for a beam loaded as shown in figure.(By Macaulay's Method).

GTU Structural Analysis-I (3140603) Summer 2025 Question 5(c) Diagram
(a)
3 marks

Prove that the maximum strain energy stored in a body is given by ,U= (σ2/2E) x Volume.

(b)
4 marks

A thin cylindrical shell of internal diameter d, wall thickness t and length L, is subjected to internal pressure p. Derive the expression for change in volume of the cylinder.

(c)
7 marks

The external and internal diameter of a hollow cast iron column are 200 mm and 150 mm respectively. If column is hinged at both ends having a length of 4 m, deter mine the c r i p p l i n g load using Rankine formula . Take fs = 550N/mm² and α = 1/1600.

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About this paper

Official Gujarat Technological University (GTU) examination paper for Structural Analysis-I (Summer 2025, B.E. · Civil Engineering, Sem 4). Features complete 70-mark regular & remedial examination pattern, official marking distribution across all 5 questions, and direct 1-click official PDF download.

Transcribed for student exam preparation from Gujarat Technological University official examination archives. Questions, syllabus guidelines, and curriculum marking schemes remain the intellectual property of Gujarat Technological University.

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