Gujarat Technological UniversityWinter 2024 examination

GTU BE01000091 Mechanics of Solids Winter 2024 Question Paper & PDF

B.E. · Common Engineering · Semesters 1 and 2 · Subject code BE01000091
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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
What are the methods for finding out the resultant forces for a given system of forces ?
(b)
4 marks
State (1) parallelogram law of forces. and (2) two characteristics of a couple
(c)
7 marks

Objective Question (MCQ)

1In order to determine the effects of a force acting on a body we must know(a)Its magnitude and direction of the line along which it acts(b)Its nature (whether push or pull),(c)Point through which it acts on the body(d)All of the above
2The lami’s theorem is applicable only for(a)coplanar forces,(b)concurrent forces,(c)coplanar & concurrent forces,(d)any type of forces
3A body is said to be in equilibrium if it has no linear motion,(a)true ,(b)False
4Lami’s theorem cannot be applied in case of concurrent forces.(a)Agree,(b)Disagree.
5The shape of shear force diagram for cantilever beam subjected to couple at free end is(a)Horizontal straight line,(b)Zero,(c)Parabola,(d)Hexagonal
6The reaction at the roller support end of a beam is always(a)Vertical,(b)Horizontal,(c)None of the above
7At free end of a cantilever bending moment is always_______ unless a concentrated moment is applied at the free end.(a)one(b)two(c)Three(d)Zero

Q.2

14 Marks
(a)
3 marks
Three concurrent coplanar forces act on a body at a point O, Determine two additional force along OA and OB such that resultant of the five forces is Zero as shown in Fig-1
GTU Mechanics of Solids (BE01000091) Winter 2024 Question 2(a) Diagram
(b)
4 marks
A boat is pulled along the river by two ropes with pulls P & Q inclined at 30 & 40 to the X-axis as shown in Fig-2 find a) P and Q if their resultant R is 1000N parallel to X-axis b) if P is inclined at 30 to X-axis. find the minimum value of Q if R is same.
GTU Mechanics of Solids (BE01000091) Winter 2024 Question 2(b) Diagram
(c)
7 marks
A simply supported beam having a Maximum bending moment is 10 KN-m. the cross section of the beam is shown in Fig-3 Determine bending stress in tension and compression.
GTU Mechanics of Solids (BE01000091) Winter 2024 Question 2(c) Diagram
(c)
7 marks
Explain (1) Types of Beam, Support, Load 2) Condition of Equilibrium

Q.3

14 Marks
(a)
3 marks
Find analytically the support reaction at B for the beam shown in Fig-4 if reaction at support A is zero
GTU Mechanics of Solids (BE01000091) Winter 2024 Question 3(a) Diagram
(b)
4 marks
Draw shear force, bending moment diagram for the beam shown in Fig-5
GTU Mechanics of Solids (BE01000091) Winter 2024 Question 3(b) Diagram
(c)
7 marks
A circular rod of 25mm diameter and 500mm long is subjected to a tensile force of 50 KN. Determine modulus of rigidity, bulk modulus and change in volume if poissions ratio is 0.3 and young’s modulus E is 2 x10⁵ N/mm²
(a)
3 marks
Explain (a) Center of mass( b) center of gravity (c) centroid
(b)
4 marks
For an I-Section shown in Fig-6 find IxxI_{xx} and IyyI_{yy}
GTU Mechanics of Solids (BE01000091) Winter 2024 Question 3 OR (b) Diagram
(c)
7 marks
Find centroidal M.I IxxI_{xx} and IyyI_{yy} of a channel section shown in Fig-7
GTU Mechanics of Solids (BE01000091) Winter 2024 Question 3 OR (c) Diagram

Q.4

14 Marks
(a)
3 marks
Write any three Assumption made in the theory of torsion
(b)
4 marks
A stepped bar made of steel, copper and brass are as under axial force as shown in Fig-8 and is in equilibrium. The diameter of steel is 12 mm diameter of copper is 16mm and the diameter of brass is 20mm. determine total change in length of the bar take ESteelE_{Steel} = 200 x10³mpa ECopperE_{Copper} = 100 x10³mpa, EBrassE_{Brass} = 80 x 10³mpa
GTU Mechanics of Solids (BE01000091) Winter 2024 Question 4(b) Diagram
(c)
7 marks
The sum of two concurrent forces P and Q is 270 N and their resultant is of 180 N. if resultant is perpendicular to R. find P and Q
(a)
3 marks
How would you find out the moment of inertia of a plane area?
(b)
4 marks
Define the term (1) force (2) Couple Moment (3) Maximum Bending moment (4) Point of Contra flexure.
(c)
7 marks
Derive the equation of Bending Stress in Beam (Derivation of flexure Formula for pure Bending)

Q.5

14 Marks
(a)
3 marks
Short notes on (a) Moment of resistance (b) section modulus (c) Neutral Axis
(b)
4 marks
A beam of T-Section, 4m long carries a uniformly distributed load w per meter run thought its length. The beam is simply supported at its ends the T-section is 20 x 10 x 1.2cm and web is 18.8 x 1.2 cm and flange is 10 x 1.2cm what is the maximum value of W so that the stress in the section does not exceed 60 mpa
(c)
7 marks
A simply supported beam 7m long is carrying three-point load 100N, 600N, and 175 N acting at 2m, 4m and 5.5 m from left support. Determine support reaction and draw S.F and B.M Diagram.
(a)
3 marks
Short notes on followings (1) Lateral strain (2) Hooks Law (3) Poisson’s ratio
(b)
4 marks
Determine the stress, strain, modulus of elasticity and poissions ratio from the following results for a bar tested on UTM diameter 20mm, gauge length 150mm, increase in gauge length 14mm, decrease in diameter 0.8mm, tensile load 6 kN
(c)
7 marks
A rectangular bar of steel 50mm x 30 mm is 1m long carries a pull of 93.9 KN. Find the tensile stress in the bar strain and change in length. Take E 200 Gpa

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Official Gujarat Technological University (GTU) examination paper for Mechanics of Solids (Winter 2024, B.E. · Common Engineering, Sem 1). 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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