vtu.ac.in BE/B.Tech Mechanics of Materials Model Question Paper : Visvesvaraya Technological University

Name of the University : Visvesvaraya Technological University
Name of the Exam : B.E. Degree(CBCS)Examination
Degree : B.E. / B.Tech.
Paper : Mechanics of Materials
Year : 2016-17
Document Type : Model Question Paper
Website : https://vtu.ac.in/
Download Question Paper :
Mechanics of Materials I : https://www.pdfquestion.in/uploads/14125-mom.pdf
Mechanics of Materials II : https://www.pdfquestion.in/uploads/14125-2mm.pdf

BE/B.Tech Mechanics of Materials Model Question Paper :

Time: 3 hrs.
Max. Marks: 80
Note :
Answer any FIVE full questions, choosing one full question from each module.

Related / Similar Question Paper : VTU B.E /B.Tech Metal Casting & Welding Question Paper

Module – I :
1 a. Define the following. (i) Stress (ii) Strain (iii) Poisson’s ratio (iv) Elasticity (08 Marks)
b. The following data refers to mild steel specimen tested in a laboratory. Diameter of specimen = 24mm; Gauge length = 200mm; Extension under load = 0.04mm; Yield point load = 150kN; Maximum load = 225kN; Neck diameter = 18.2mm; Load at failure = 275mm.
Determine (i) Young’s modulus;
(ii) Yield stress
(iii) Ultimate stress
(iv) percentage elongation. (08 Marks)
OR
2. a. Determine the elongation of bar shown in fig when subjected to a tensile load of 150kN. Take E = 200Gpa
b. Derive relation between Young’s modulus(E), Modulus of rigidity(G) & Bulk modulus(K) (08 Marks)

Module – II :
3. a. A point in a machine member is subjected to stresses as shown in fig.
Determine (i) Stresses on a plane which is at an angle of 600 w.r.t 80MPa stress.
(ii) Magnitude of principal stresses and their locations.
(iii) Maximum shear stresses and their locations, by Mohr’s circle method

b. Define thick & thin cylinder. Also derive an expression for circumferential stress in a thin cylinder (08 Marks)
OR
4. a.  Derive an expression for normal and shear stress on an inclined plane of a member subjected to uni-axial stress (08 Marks)
b. The state of stress at a point is as shown in fig. Determine (i) Direction of principal planes; (ii) Magnitude of principal stresses (iii) Magnitude of maximum shear stress and its directions (08 Marks)

Module – III :
5. a. Differentiate statically determinate and statically indeterminate beams (08 Marks)
b. Draw the SFD and BMD for the structure shown in fig. and find Point of contraflexure. (08 Marks)

a. Derive an expression for Governing differential equation for a beam (08 Marks)
b.  A cantilever has length of 3m. Its cross-section is of T type with flange 100mmx20mm and web 200mmx12mm, the flange in tension. What is the intensity of UDL that can be applied if the maximum tensile stress is limited to 30N/mm2. Also compute the maximum compressive stress (08 Marks)

Module – IV :
7. a. State the assumptions and Derive General torsional equation (08 Marks)
b. A solid shaft has to transmit a power of 1000KW@ 120rpm. Find the diameter of the shaft if shear stress is not to exceed 80N/mm2. The maximum torque is 1.25times of its mean. What percentage of saving in material would be obtained if the shaft is replaced by hollow shaft whose internal diameter is 0.6times its external diameter. The length, speed, material and maximum shear stress being same 08 Marks)
OR
8. a. Derive an expression for Euler’s crippling load for a column when both of its ends are hinged or pinned (08 Marks)

b. A hollow C.I circular section column is 7.5mm long and is pinned at its both ends. The inner diameter of the column is 160mm and the thickness of the wall is 20mm. find the safe load by Rankine’s formula, using factor of safety of 5. Also find the slenderness ratio and ratio of Euler’s and Rankine’s critical loads. Take sc = 550N/mm2, a= 1/1600 & E = 8×104 (08 Marks)

Mechanics of Materials I :
Module – I :
1. a. State Hooke’s law. (02 Marks)
b. A block size of 200mmx80mmx20mm is subjected to forces as shown in fig. determine (i) Change in dimensions (ii) Change in volume.
c. Determine an expression for shortening /extension of bar (04 Marks)
OR
2 a. Derive an expression for deformation of tapering bar (circular c/s) (08 Marks)
b. When the temperature of the compound bar is increased by 500c. determine the stresses induced in each bar considering the following cases (i) Rigid supports
(ii) Supports yield by 0.5mm. Take as = 12×10-6/0c; ac= 19×10-6/0c; aAl = 22×10-6/0c, Es= 200GPa; Ec= 83GPa; EAl= 70GPa

Module – II :
3.a. Using Mohr’s circle determine the principal stress and the planes. Show the same on element separately.b. Define Principal stresses and planes. (04 Marks)