College : Vardhaman College Of Engineering
Degree : B.Tech
Department : Civil Engineering)
Semester : III
Subject : Strength Of Materials-I
Document type : Question Paper
Website : vardhaman.org
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Vardhaman Strength Of Materials-I Question Paper
B. Tech III Semester Regular Examinations, December – 2013
(Regulations : VCE-R11)
(Civil Engineering)
Date : 11 December, 2013
Time : 3 Hours
Max. Marks : 75
Related : Vardhaman College Of Engineering Introduction To Aircraft Industry B.Tech Question Paper : www.pdfquestion.in/6321.html
Instructions
Answer ONE question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
Unit – 1
1. a) Derive an expression between modulus of elasticity and modulus of rigidity. 6M
b) A compound bar consists of a circular rod of steel of diameter 20 mm rigidly fitted into a copper tube of internal diameter 20 mm and thickness of 5mm.If the bar is subjected to a load of 100KN, find the stresses developed in the two materials. 9M
2. a) Distinguish between lateral strain and longitudinal strain, nominal stress and true stress. 6M
b) A steel bar of 20 mm diameter and 1m long is freely suspended from a roof and is provided with a collar at other end .If the modulus of elasticity is 2 x 10 5 N/mm2 and maximum permissible stress is 300 N /mm2, find
i. The maximum load which can fall from a height of 50 mm on the collar.
ii. The maximum height from which a 600 N load can fall on the collar. 9M
Unit – 2
3. a) Derive the relationship between loading, Shear force & Bending moment. 5M
b) Draw shear force and bending moment for the beam shown in fig.1 fig.1 10M
4. a) Define with sketches types of loading and supports. 5M
b) Draw shear force and bending moment for the cantilever beam carrying UDL of W KN/m over the whole span ‘L’m. 10M
Unit – 3
5. a) Distinguish between thin and thick cylinders. Explain the modes of failure due to shear with sketches 5M
b) A cylindrical pressure vessel of 1metre internal diameter and 1.5 m long is subjected to an internal pressure p. Thickness of the cylinder wall is 15 mm. Taking allowable stress for cylinder material as 90 Mpa determine
i. Magnitude of maximum pressure p
ii. Change in dimensions. Take E =200 Gpa v=0.3 10M
6. a) A cylindrical shell is 3m long and is having 1m internal diameter and 15 mm thickness. Calculate the maximum intensity of shear stress induced also the changes in the dimensions of the shell. If it is subjected to an internal fluid pressure of 1.5 N/mm 2. 7M
b) A thick cylinder of internal diameter 160 mm is subjected to an internal fluid pressure of 40 N/mm2. If the allowable stress in the material is 120 N/mm2 find the thickness required. 8M
Unit – 4
7. a) Explain theory of simple bending and derive an expression for bending stress. 5M
b) A Timber beam of rectangular section is to support a 2 tonnes UDL over a span of 3.6m.If the depth of the section is to be twice the breadth and the stress in timber is not to exceed 70kg/cm2, find the dimensions of the cross section. How can you modify the cross section of the beam, if it were to carry a concentrated load placed at the centre with the same ratio of breadth to depth? 10M
8. a) Derive an expression for the shearing stress distribution over a Rectangular section. 5M
b) A steel section shown in fig.2 is subjected to a shear force of 10Tonnes. Determine the shear stress at the important points and sketch the shear distribution diagram. 10M
Unit – 5
9. a) Derive the relation between slope, deflection and radius of curvature. 5M
b) A horizontal beam AB is freely supported at A and B, 8m apart, and carries a UDL of 15KN/m. A clockwise moment of 160KN-m is applied to the beam at a point C, 3m from the left hand support A. Calculate the slope of the beam, at C, if EI=40MN-m2. 10M
10. a) State the Two Mohr’s theorems to relate slope and deflection. 5M
b) A beam of length 5m and of uniform rectangular section is supported at its end and carries UDL over the entire span. Calculate the depth of the section if the maximum permissible bending stress is 8N/mm2 and central deflection is not to exceed 10mm.