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Code: 9A01302
B.Tech II Year I Semester (R09) Supplementary Examinations June 2015
STRENGTH OF MATERIALS - I
(Civil Engineering)
Time: 3 hours Max. Marks: 70
Answer any FIVE questions
All questions carry equal marks
*****
1 A reinforced concrete column is 300 x 300 mm in section. The column is provided with 8 bars of 20 mm
diameter. The column carries a load of 500 kN. Find the stresses in concrete and steel bars. Take
ES = 2.1 x 10
5
N/mm
2
, EC = 0.14 x 10
5
N/mm
2
.
2 Draw SFD and BMD for the beam shown in figure. Find the position of point of contra- flexure.
3 A beam of Ι-section is 300 mm deep. The dimensions of flanges are 125 x 15 mm, and the thickness of the
web is 10 mm. Compare the flexural strength of this beam section with a circular section of same material
and area.
4 A beam of triangular cross section with base ‘b’ and height ‘h’ is used with base horizontal. Calculate the
intensity of maximum shear stress and plot the variation of shear stress over the section.
5 Determine the deflection under the loads in the beam shown in fig. Take flexural rigidity as EI throughout.
6 (a) Prove that central deflection for a simply supported beam of span and of uniform section carrying a
uniformly distributed load w per unit length is δ = (5/384) .
(b) A rolled steel joist 450 mm x 710 mm simply supported at the ends has 6m span and carries a
concentrated load of 100 kN at mid – span. Calculate δ at the centre. Take Ι = 30,390 cm
4
, E = 211GPa.
7 At a point in a piece of strained material, there are two planes at right angles on which the shear stress
intensity is q along with a normal stress intensity of 50 MN/m
2
tensile on one plane and 30 MN/m
2
compressive on the other. If the major principal stress is 70 MN/m
2
tensile evaluate the smaller principal
stress. Also determine the value of q.
8 A thick cylindrical pressure vessel of inner radius 150 mm is subjected to an internal pressure of 80 MPa.
Calculate the wall thickness based upon the:
(i) Maximum principal stress theory.
(ii) Total strain energy theory.
Take Poisson’s ratio = 0.30 and yield strength = 300 MPa.
*****
R09
A
BC D
2 m 2 m 2 m
10 kN40 kN

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9 a01302 strength of materials i

  • 1. Code: 9A01302 B.Tech II Year I Semester (R09) Supplementary Examinations June 2015 STRENGTH OF MATERIALS - I (Civil Engineering) Time: 3 hours Max. Marks: 70 Answer any FIVE questions All questions carry equal marks ***** 1 A reinforced concrete column is 300 x 300 mm in section. The column is provided with 8 bars of 20 mm diameter. The column carries a load of 500 kN. Find the stresses in concrete and steel bars. Take ES = 2.1 x 10 5 N/mm 2 , EC = 0.14 x 10 5 N/mm 2 . 2 Draw SFD and BMD for the beam shown in figure. Find the position of point of contra- flexure. 3 A beam of Ι-section is 300 mm deep. The dimensions of flanges are 125 x 15 mm, and the thickness of the web is 10 mm. Compare the flexural strength of this beam section with a circular section of same material and area. 4 A beam of triangular cross section with base ‘b’ and height ‘h’ is used with base horizontal. Calculate the intensity of maximum shear stress and plot the variation of shear stress over the section. 5 Determine the deflection under the loads in the beam shown in fig. Take flexural rigidity as EI throughout. 6 (a) Prove that central deflection for a simply supported beam of span and of uniform section carrying a uniformly distributed load w per unit length is δ = (5/384) . (b) A rolled steel joist 450 mm x 710 mm simply supported at the ends has 6m span and carries a concentrated load of 100 kN at mid – span. Calculate δ at the centre. Take Ι = 30,390 cm 4 , E = 211GPa. 7 At a point in a piece of strained material, there are two planes at right angles on which the shear stress intensity is q along with a normal stress intensity of 50 MN/m 2 tensile on one plane and 30 MN/m 2 compressive on the other. If the major principal stress is 70 MN/m 2 tensile evaluate the smaller principal stress. Also determine the value of q. 8 A thick cylindrical pressure vessel of inner radius 150 mm is subjected to an internal pressure of 80 MPa. Calculate the wall thickness based upon the: (i) Maximum principal stress theory. (ii) Total strain energy theory. Take Poisson’s ratio = 0.30 and yield strength = 300 MPa. ***** R09 A BC D 2 m 2 m 2 m 10 kN40 kN