Mechanics of Structures (MOS) SPPU Endsem Question Paper May 2025

Questions

1. Q1

   1. a)

      Three wooden planks 200 mm × 20 mm each are connected to form a Symmetrical I section of a beam as shown in Figure 1. A moment of 7 kN.m is applied around the horizontal neutral axis. Find the bending stresses at both extreme fibers of cross section.

      [8]
   2. b)

      A simply supported beam caries a uniformly distributed load of 30 kN/m over the entire span of 2 m. The cross section of beam is aT section, with its top flange of 125 × 25 mm and web of 175 × 25 mm as shown in Figure 2. Obtain the maximum shear stress and plot a shear stress distribution. 2

      [10]
   OR

2. Q2

   1. a)

      A simply supported beam caries a point load of 100 kN at mid span of the beam of span 2 m. The cross section of beam is a T section, with its top flange of 150 × 30mm and web of 30 × 200 mm as shown in figure 3. Obtain the maximum shear stress and plot a shear stress distribution.

      [10]
   2. b)

      The cross section of simply supported beam of span 6 m long is shown in figure 4. If permissible stresses are 100 MPa in compression 40 MPa in tension, find safe udl the beam can carry.

      [8]

3. Q3

   1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [8]
   2. b)

      The plane element in a body is subjected to a tensile normal stresses of 25 N/mm 2 in X direction and shear stress of magnitude 100 N/mm 2 . Calculate the normal, tangential and resultant stresses on a plane inclined at 30 0 with vertical direction anticlock wise.

      [9]
   OR

4. Q4

   1. a)

      A hollow shaft with ratio of internal diameter to external diameter 3/5 is required to transmit 400 kW at 60 rpm with a uniform twisting moment. The shearing stress in the shaft must not exceed 50N/mm 2 and the twist in a length of 3 m must not exceed 1 0 . Taking G = 85 × 10 3 N/mm 2 , determine the minimum external diameter of the shaft satisfying above two conditions.

      [9]
   2. b)

      The principal tensile stresses at a point are 150 N/mm 2 and 100 N/mm 2 . Find normal and tangential and resultant stress on a plane at 30 0 with major principal plane. What is angle of obliquity.

      Also asked:Nov 2024

      [8]

5. Q5

   1. a)

      State the assumptions made in Euler’s theory. A4 m length of tube has buckling load 2 kN when used as a column hinged at both ends. Calculate buckling load for 4.5 m length of the same tube when used as column if, (i) Both ends are fixed. (ii) One end fixed and another end is hinged. 3

      Also asked:Nov 2024

      [9]
   2. b)

      A short masonry pillar 600 mm × 600 mm in section. The pillar carries an eccentric load of 1200 kN. Acting at an eccentricity of 30 mm from the longitudinal axis as shown in figure 5. Find the maximum and minimum stresses on the section column.

      [9]
   OR

6. Q6

   1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [9]
   2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [9]

7. Q7

   1. a)

      Calculate the slope and deflection of Simply supported beam of span l carrying a point load at mid span.

      [8]
   2. b)

      This part has equations that don’t show as text. Open the PDF to read it.

      [9]
   OR

8. Q8

   1. a)

      This part has equations that don’t show as text. Open the PDF to read it.

      [9]
   2. b)

      Determine the slope and deflection at free end of cantilever beam of span ‘ L’ meter subjected udl ‘ w’ on entire span. JJJ

      [8]