Code: somMechanical Engineering4th Semester5 Examination Papers

Strength of Materials

Official Bihar Engineering University examination question papers, marks distribution, and questions transcript. Available exam sessions: 2022, 2019, 2018, 2017, 2016.

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Official Exam Paper TranscriptB.Tech 4th Semester Examination, 2022
Bihar Engineering University, Patna
B.Tech 4th Semester Examination, 2022

Strength of Materials

Time: 03 HoursCode: 102405Full Marks: 70

Instructions:

  1. The marks are indicated in the right-hand margin.
  2. There are NINE questions in this paper.
  3. Attempt FIVE questions in all.
  4. Question No. 1 is compulsory.
Q.1 Choose the correct answer of the following (any seven):[14]

  1. Two parallel, equal and opposite forces acting tangentially to the surface of the body is called

    1. complementary stress
    2. compressive stress
    3. shear stress
    4. tensile stress

  2. Maximum shear stress is

    1. average sum of principal stresses
    2. average difference of principal stresses
    3. average sum as well as difference of principal stresses
    4. None of the above

  3. What will be the radius of gyration of a circular plate of diameter 10cm?

    1. 5cm
    2. 0cm
    3. 5cm
    4. 3cm

  4. Which of the following are statically determinate beams?

    1. Only simply supported beams
    2. Continuous beams
    3. Fixed beams
    4. Cantilever, overhanging and simply supported beams

  5. In a cantilever carrying uniformly varying load starting from zero at the free end, the bending moment diagram

    1. is a horizontal line parallel to x-axis
    2. is a line inclined to x-axis
    3. follows a parabolic law
    4. follows a cubic law

  6. Calculate the deflection if the slope is 0.0225radians. Take the distance of centre of gravity of bending moment to free end as 2 metres.

    1. 45mm
    2. 35mm
    3. 28mm
    4. 49mm

  7. Hoop stress in a thin vessel is

    1. pD/4t
    2. pD/2t
    3. pD/3t
    4. None of the above

  8. Hoop shrinking in thick cylinders is done to achieve

    1. increased stresses
    2. decreased stresses
    3. uniform stresses
    4. None of the above

  9. Two shafts in torsion will have equal strength if

    1. only diameter of the shafts is same
    2. only angle of twist of the shaft is same
    3. only material of the shaft is same
    4. only torque transmitting capacity of the shaft is same

  10. What is the maximum principal stress induced in a solid shaft of 40mm diameter which is subjected to both bending moment and torque of 300kN−mm and 150kN−mm respectively?

    1. 50.57N/mm2
    2. 28.1N/mm2
    3. 21.69N/mm2
    4. 52.32N/mm2
Q.2 Solve both questions :[14]

  1. Derive the relation between E and K. A bar of 30mm diameter is subjected to a pull of 60kN. The measurement extension on gauge length of 200mm is 0.1mm and change in diameter is 0.004mm. Calculate E, Poisson ratio and K.

  2. Three bars made of copper, zinc and aluminium are of equal length and have cross-section 500, 700 and 1000mm2 respectively. They are rigidly connected at their ends. If this compound member is subjected to a longitudinal pull of 250kN. Estimate the proportional of the load carried on each rod and the induced stresses. Take the values of E for copper = 1.3×105N/mm2 and for zinc 1.0×105N/mm2 and for aluminium = 0.8×105N/mm2.

Q.3 Solve this question :[14]

  1. A material is subjected to two mutually perpendicular tensile direct stresses of 40MPa and 30MPa together with a shear stress of 20MPa, shear stress being clock-wise on the face carrying the 40MPa tensile stress. Determine-
    (a) the stresses on a plane making an angle of 40circ counter-clockwise to the plane of the 40MPa stress;
    (b) the principal stresses and their planes;
    (c) the maximum shear stress and its plane.

Q.4 Solve both questions :[14]

  1. With the help of mathematical proof, show that the torque transmitted by the hollow shaft is greater than the solid shaft.

  2. A hollow shaft with diameter ratio 3/5 is required to transmit 450kW at 120r.p.m. The shearing stress in the shaft must not exceed 60N/mm2 and the twist in a length of 2.5m is not to exceed 1circ. Calculate the minimum external diameter of the shaft. Take C = 80kN/mm2.

Q.5 Solve this question :[14]

  1. A simply supported beam is subjected to a combination of loads as shown in Fig. 1. Sketch the shear force and bending moment diagrams and find the position and magnitude of maximum bending moment.

    Question Diagram
Q.6 Solve both questions :[14]

  1. Derive expression for moment of inertia for circular lamina and thin ring.

  2. Determine the moment of inertia of the beam cross-section about the centroidal axis shown in Fig. 2.

    Question Diagram
Q.7 Solve both questions :[14]

  1. Derive the expression for the change in diameter and for the change in volume of a thin spherical shell when it is subjected to an internal pressure.

  2. A thin cylinder is 3.5m long, 90cm in diameter, and the thickness of the metal is 12mm. It is subjected to an internal pressure of 2.8N/mm2. Calculate the change in dimensions of the cylinder and the maximum intensity of shear stress induced. E = 200GPa and Poisson's ratio = 0.3.

Q.8 Solve both questions :[14]

  1. Calculate circumferential and radial stress in a thick cylinder assuming internal pressure pi and internal pressure = zero.

  2. An external pressure of 10MN/m2 is applied to a thick cylinder of internal diameter 160mm and external diameter 320mm. If the maximum hoop stress permitted on the inside wall of the cylinder is limited to 30MN/m2, what maximum internal pressure can be applied assuming the cylinder has closed ends? What will be the change in outside diameter when this pressure is applied? E = 207GN/m2, v = 0.29.

Q.9 Solve both questions :[14]

  1. Deduce the expression for bending equation. What is section moduli of hollow circular section and solid circular section?

  2. A simply supported beam is subjected to uniformly distributed load in combination with couple M. It is required to determine the deflection shown in Fig. 3.

    Question Diagram

Related Official Syllabus

Project Management

102405

Official BEU curriculum units & topics for this examination subject.

Unit 1.0

Basics of project Management: concept • Project Environment • Types of Projects • Project life Cycle • Project proposals • Monitoring project program

Unit 2.0

Project appraisal and project selection • Identification of investment opportunities • Source of new project ideas • Preliminary screening of projects • Feasibility studies and reports

Unit 3.0

Market feasibility: Market survey • Categories of Market survey • Steps involved in conducting market survey • Demand forecasting techniques • Sales projections

Unit 4.0

Technical feasibility: Production technology • Materials and inputs • Plant capacity • Site selection • Plant layout • Site preparation • Managerial Feasibility • Project organization and responsibilities • Development of program evaluation & Review Technique (PERT) • Benefits of PERT

Unit 5.0

Capital Investment Financial Analysis: capital Expenditure criteria and Investment strategies • Appraisal Techniques (Non DCF and DCF) • Risk analysis • Cost of project and means of financing • Estimation of cash flows • Estimation of Capital costs and operating costs • Forecasting income • Preparation of detailed financial projections • Breakeven point

View Complete 4th Semester Syllabus

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