11-10-2014, 04:45 PM
QUESTION BANK
ME2254 STRENGTH OF MATERIAL
UNIT 1- STRESS STRAIN AND DEFORMATION OF SOLIDS
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1. Define Poisson’s ratio. (AU Oct’ ’08)
2. Define Hook’s Law. (AU Oct’.07)
3. Define shear stress & shear strain. ( AU Apr’,09.Oct’ 09 )
4. Define modulus of elasticity. (AU Apr’.08)
5. Define modulus of rigidity. (AU May’.10)
6. State bulk modulus. (AU Oct’.10)
7. What is thermal stress? (AU Oct’.09Apr,09,10)
8. What is proof resilience? (AU Oct’.10 Apr’,11.)
9. Define proof resilience & modulus of resilience. (AU Oct’.08)
10. State relationship between modulus of elasticity& modulus of rigidity. (AU May’ 04)
11. What do you understand by a compound bar? (AU Dec’ 04)
12. What are the type of elastic constants (AU May’ 11).
13. Write two equations used to find the forces in compound bars made of two materials subjected to tension. (AU May’, Dec’ 12)
14. What is stability? (AU Dec’ 12)
15. Define strain energy density. (AU May’ 04 , 08)
16. Give the relation for change in length of bar hanging freely under is own weight.
(AU May’ 05).
17. Determine the Poisson’s ratio and bulk modulus of a material for which young’s modulus is
1.2 x 105 N /mm2and modulus of rigidity is 4.8 x 104 N/mm2. (AU Dec’ 04)
18. A brass rod 2 m long is fixed at both ends. if the thermal stress is not to exceed 76.5 N/mm2
,calculate the temperature through which the rod should be heated. Take the values of α
and E as 17 x10-6 /k and 90Gpa respectively. (AU May’ 05)
19. State catigliano’s first theorem.
20. Write the concept used for finding stresses in compound bars. (AU May’ 11)
21. Explain the effect of change of temperature in a composite bar. (AU May’ 12)
22. Principle of superposition. (AU May’ 12)
PART B
1. Determine the change in length, breath and thickness of steel bar 4m long, 30mm wide and
20mm thick, when subjected to an axial pull of 120 KN in the direction of its length. Take
E=200Gpa and Poisson’s ratio = 0.3. (AU Oct’ 08 )
2. A bar of 30 mm diameter is subjected to a pull of 60 KN. The measured extension on gauge length of 200mm is 0.09mm and the change in diameter is 0.0039. Calculate the Poisson’s ratio and the value of the three moduli. (AU May’ .08 )
3. Find the young’s modulus and Poisson’s ratio of a metallic bar of length 300mm,breath 40 mm, depth 40mm when the bar is subjected to an a axial load an 40KN.Dec’rease in length is 0.75mm and the increase in breadth is 0.03mm. also find the modulus of rigidity of the bar. (AU Oct’ 08)
4. When a metallic bar of length 25cm, breadth 3cm and depth 2cm is subjected to an a axial load an 240 KN. The Decrease in length is 0.05cm and increase in breadth is 0.002 cm. determine the bulk modulus of the material. (AU Oct’09)
5. For a given material, young’s modulus is 1 x 105N/mm2 and modulus of rigidity is
4x104N/mm2. find the bulk modulus and lateral contraction of round bar of 50mm diameter and 2.5mm long, when the length is increased 2.5 mm. (AU Apr’09).
6. A bar of cross section 8 cmx8cm is subjected to an axial pull 0f 800 N. the lateral dimension of the bar is found to be 7.996 x 7.996. If the modulus of rigidity of the material is
9.6x104N/mm2 .Determine the Poisson’s ratio and modulus of elasticity. (AU Apr’ 08)
7. Calculate the modulus of rigidity and bulk modulus of a cylindrical bar of a diameter 25mm and length 1.6m. if the longitudinal strain in a bar during tensile stress is four times the lateral strain. Determine the change in volume, when the bar is subjected to ahydraulic pressure of 100 N/mm2. Take E = 1x105 N/mm2. (AU Oct’ 09)
8. An object of weight 200 N, falls by gravity a vertical distance of 6m when its suddenly stopped by a collar at end of a vertical rod of length 20m and diameter 30mm. the top of the bar is rigidly fixed to a support. Calculate the maximum stress and strain induced in the bar due to impact. Take E=2x105N/mm2. (AU May’ .09)
9. A load of 200N falls through a height of 20mm unto a collar rigidly attached to the lower end of a vertical bar 2000mm long and of 1.5cm2 cross sectional area. The upper end of vertical bar is fixed. Find
i) maximum insatantaneous stress&insatantaneous elongation.
ii) Strain energy. Take E=2x105N/mm2. (AU Oct’ 10)
10. A 20m diameter subjected to an axial pull of 40KN and change in diameter was found to be
0.003822mm. find the Poisson’s ratio, modulus of elasticity and bulk modulus if the shear modulus of the material of the bar is 76.923 Gpa. (AU May’10)
11. The young’s modulus of a material is 210 KN/mm2. And modulus of rigidity
75KN/mm2,Determine the bulk modulus. (AU Nov’ 96 and Dec’ 10).
12. A circular rod subjected to a pull of 60KN. The measured extension on a gauge length of
180mm is 0.09mm and the change in diameter is 0.00276mm. Calculate the Poisson’s ratio and the value of other moduli if young’s modulus = 200KN/mm2. (AU Nov’ 11).
13. Find the value of P and the change in length of each component and the total change in length of the bar shown in figure.(AU May’ 10).
14. A bar of 30mm x 30mm x 250mm long was subjected to a pull of 90 KN in the direction of its length. Then extension of the bar was found to be 0.125mm, while the Decrease in each lateral dimension was found to be 0.00375mm. Find the young’s modulus of the bar.
(AU May’ 11).
15. The steel plate 300mm long ,60mm wide and 30 mm deep is acted upon by the forces shown in figure. Determine the change in volume. Take E = 200KN/mm2 and Poisson’s ratio=0.3. (AU Dec’ 11)
16. The composite bar shown in figure; is rigidly fixed at the ends. An axial pull of P=15KN is applied at B at 20oc. find the stresses in each material at 80oc.
Take αs = 11 x10-6/ oc ; αa = 24 x 10-6/oc; ES =210 KN/mm2; Ea=70KN/mm2.
(AU Dec’12)
17. A rod of length 1m and diameter 20mm is subjected to a tensile load of 20 KN. The increase in length of the rod is 0.30mm and Decrease in diameter is 0.0018. Calculate the Poisson’s ratio and three moduli. (AU May’ 11)
18. A steel tube 30mm external diameter and 25mm internal diameter encloses a gun metal rod
20mm diameter to which it is rigidly joined at each end. The temperature of the whole assembly is raised to 150oc. find the intensity of the stress in the rod when the common temperature has fallen to 20oc. the value of the young’s modulus for steel and the gun metal
are 2.1 x 105N/mm2 and 1x105N/mm2respectively. The co-efficient of liner expansion for steel is 12 x 10-6/ oc and for gun metal is 20 x 10-6/ oc. (AU May’ 12)
19. A metallic bar 250mm x 100mm x 50mm is loaded as shown in figure. Find the change in volume. Take E=2 x 105N/mm2 and the Poisson’s ratio = 0.25. also find the change that would be made in the 4MN load, in order that three should be no change in the volume of the bar. (AU Dec’ 12)
20. A reinforced concrete column 500mm x 500mm in section is rein forced with 4 steel bars of
25mm diameter, one in each corner, the column is carrying a load of 1000KN. Find the stress in the concrete and steel bars. Take E for steel =210 x103N/mm2 and E for concrete=14 x103N/mm2. (AU May’ 12)
21. Derive total elongation expression for bars of varying cross section. (AU May’ 03).
22. Derive total elongation expression for uniformly tapering rod. (AU Oct’ 98)
23. Derive E=2G( 1+(1/3)). (AU May’ 05).
24. Derive E=3K(1-(2/3)). (AU Dec’ 03)
25. Derive an expression for strain energy stored in a body when the load is applied suddenly.
UNIT 2- TRANSEVERSE LOADING ON BEAMS AND STRESSES IN BEEMS
1. Define beam. (AU Nov’ 11)
2. What is meant by transverse loading of beams? (AU May’ 05)
3. How to classify the according to its supports? (AU May’ .08 & 09)
4. What is cantilever beam? (AU Oct’.07Apr’,08.)
5. What is simply supported beam? (AU Nov’ 10).
6. What is meant by overhanging beam? (AU May’ 05)
7. What are the types of transverse load? (AU May’ 02)
8. What is meant by point or concentrated loads? (AU May’ 04)
9. What is uniformly distributed loads? (AU Apr’ 09)
10. Define shear force and bending moment at a section. (AU Oct’.09Apr’,08.)
11. What is meant by positive or sagging Bm? (AU May’10)
12. What is meant by negative or hogging Bm?. (AU Apr’ 11)
13. Draw the BMD for cantilever beam subjected to an anticlockwise movement at its free end. (AU May’ 12)
14. The maximum BM in a SSB of span ‘L’ subjected to UDL of ω over the entire span is _.
15. What are the SF and BM diagrams? (AU May’ 12)
16. Write the relation between SF and BM. (AU Apr’ 11)
17. A cantilever beam of length 5m is acted upon by a force couple of moment 100KNm at the free end. What is the bending moment at fixed end? (AU Apr’ 05)
18. In SSB, how do you locate the point of maximum bending moment? (AU Oct’ 06)
19. The maximum SF in a cantilever subjected to point load ω at the free end is .
(AU Oct’ 12)
20. Find the dimensions of a timber beam of span 4.38m to carry uniformly distributed load of
20KN/m, if the width of the joists is half the depth and permissible bending stress is limited to 9Mpa. (AU May’ 12).
21. What are the assumptions made in the theory of bending? (AU Nov’ 06)
22. Define section modulus. (AU Oct’ 07).
23. State the theory of simple bending. (AU Oct’Apr’,10.)
24. A beam subjected to a bending stress of 5N/mm2 and the section of modulus is 3530cm2.
What is the moment of resistance of the beam? (AU Oct’ 11)
25. What is the section modulus for a circular and a hollow circular section? (AU Oct’ 03)
26. The section of modulus of a circular section of diameter 30mm is
(AU Apr’ 02)
27. Is bending stress a direct stress or shear stress? (AU Oct’ 04)
28. Write down the expression for shear stress distribution in a beam subjected to shear force F. (AU Oct’ 07)
29. Write the formula to find the shear stress distribution for a rectangular beam section and sketch the shear stress distribution. (AU Apr’ 02 & 06)
30. Sketch the shear stress distribution in a beam made of hollow circular section.(AU May’ 02)
31. Draw the shear stress distribution of I-symmetrical section. (AU Nov’ 01)
32. Draw the shear stress distribution in the case of ‘T’-section. (AU Nov’ 01)
33. What is the value of maximum of minimum shear stress in a rectangular cross section.
(AU Apr’12)
PART- B
1. A beam 8m long is simply supported at the ends and carries a uniformly distributed load of
1500N/m and three concentrated load of 1000N, 2000N and 4000N acting respectively at the left quarter point, entre point and right quarter point. Draw SFD and BMD.(AU Nov’ 08)
2. Draw the shear force and bending moment diagram for a simply supported beam of span
9m. the beam carries a UDL of 10KN/m for a distance of 6m from the left support. Find the maximum value and their position. Give the values at important points in the diagram.
(AU ,Nov’ 08)
3. Analysis the simply supported beam shown in figure and sketch the SF and BM diagram. (AU May’ 08)
4. A simply supported beam of span 10m carries a concentrated load of 10 KN at 2m from the left support and a uniformly distributed load of 4KN/m over the entire length. Sketch the shear force and bending moment diagram for the beam. (AU Apr’ 08)
5. A simply supported girder 9m long is loaded with a UDL of 1800N per meter over a length of
4m from the left end.Draw BM aand SF diagrams for the griter and calculate the magnitude and position of the maximum BM. (AU Oct’ 09)
6. A simply supported beam of span 5m is subjected to UDL of 10 KN/m over the left 3m length. In addition it carries a downward load of 20 KN at 1m from the right support. draw the SF and BM diagrams for the beam indicating the important values. (AU Nov’09)
7. Draw the SF and BM diagram for the beam shown in figure. (AU Nov’ 09)
8. Draw the SF and BM diagram for the beam shown in the figure. (AU Nov’ 10)
9. A beam of span 8m is supported at its ends. It is loaded with the gradually varying load of
1KN/m from the left hand support to 2KN/m to the right hand support. Construct the SFD
and BMD. Also mark the salient values. (AU Nov’ 10)
10. Draw the shear force and bending moment diagrams for the beam shown in figure.
Indicating principal values. (AU May’ 09)
11. Draw the SF and BM diagrams for the beam shown below find the maximum values and their positions. Give the values at important points in the diagram. (AU Apr’ 09)
12. Draw the shear force and bending moment diagram for the loaded beam shown in fig.
(AU Nov’10)
13. A beam 6m long rests on supports 5m apart, the right hand end is overhanging by 1m. the beam carries a UDL of 20KN/m over the entire length of the beam. Draw SFD and BMD indicating the maximum BM and the point of contra flexure. (AU Apr’ 10)
14. Draw the SFD and BMD for the beam loaded as shown in fig. (AU Apr’ 10)
15. Construct the SFD and BMD for the beam shown in fig. (AU Nov’ 11)
16. Construct the SFD and BMD for the beam shown in fig. (AU Oct’ 11)
17. Draw the SFD and BMD for the beam shown in fig. (AU Oct’ 12)
18. A simply supported beam which is having rectangular section of 60 x 35 mm and 3 m long carrying a load of 5KN at mid-span determine the maximum bending stress induced in the beam. (AU Apr’ 11)
19. A beam of symmetrical section is 300mm deep and has a moment of inertia of 7 x 107mm4 about its principal axis. To what radius May’ it be bent if the maximum stress is not to exceed 80 N/mm2? Take E = 2 x105N/mm2. What would be the moment of resistance at this stress? (AU Apr’ 11)
20. A simply supported beam of 6m span is subjected to two point loads each 60KN at one third span. The permissible bending stress for the beam material is 120 N/mm2. Design the beam as a rectangular section keeping breadth as half of depth. Neglect selfweight of the beam.
(AU Apr’ 12)
21. Find the dimensions of a timber joist, span, 5m to carry a brick wall 200mm thick and 3.2m high, if the weight of the brick work is 19KN/m3 and the maximum stress is limited to
8N/mm2. The depth is to be twice the width. (AU May’ 12)
22. Find the dimensions of a timber beam of span 4.38m to carry uniformly distributed load of
20KN/m , if the joists is half the depth and permissible bending stress is limited to 9Mpa. (AU May’ 02)
23. A rectangular timber beam of span 6m and cross sectional dimension 200x400mm is freely supported at the ends.it carries a UDL of 10KN/m run the entire span and a concentrated
load of 12 KN at the centre. Find the maximum bending stress and draw the bending stress diagram. (AU Nov’ 12)
24. A round bar 8c diameter is to be used as abeam. Find the maximum allowable bending moment, if the stress due to bending is limited to 140N/mm2. Calculate also the radius of curvature at the point of maximum bending moment if E = 210KN/mm2. (AU Oct’ 12)
25. A simply supported beam of span 6m is subjected to UDL of 15KN/M over its entire length.
The cross section of beam is 20cm wide and 30 cm deep. sketch the variation of bending stress and shear stress in the beam cross section. (AU Oct’ 97)
26. A I section beam 350mmx200mm has a web thick ness of 12.5mm and a flange thickness of
25mm. it carries a shearing force of 20 tones at a section. Sketch the shear stress distribution across the section. (AU Nov’ 01)
27. A beam of length 10m is simply supported at its ends carries two concentrated loads of 5KN each at a distance of 3m and 7m from the left support and also a uniformly distributed load of 1KN/m between the point loads. Draw the shear force and bending moment diagrams. Calculate the bending moment. (AU May’ 06)
28. A timber beam of rectangular section is to support a load of 20KN uniformly distributed over a span of 3.6m, when the beam is simply supported. If the depth of the section is to be twice the breadth and the stress in the timber is not exceed 7N/mm2, find the breadth and depth of the cross section. How will you modify the cross section of the beam, if it carries a concentrated load of 30 KN placed at the mild-span with the same ratio of breath to depth.
(AU May’Nov’ 06)
29. Draw the SF and BM diagrams for the beam shown in the figure. Determine the points of contra flexure. (AU Nov’ 06)
30. For the simply supported beam loaded as shown in figure. Draw the shear force diagram and bending moment diagram. Also, obtain the maximum bending moment. (AU May’ 07)
31. The cast iron beam is of T- section as show in the figure. The beam is simply supported on a span of 6m. thebeam carries a uniformly distributed load of 2KN/m on the entire length (span). Determine the maximum tensile and maximum compressive stress. (AU May’ 07)
32. Draw the shear force and bending moment diagram for the simply supported beam shown in the figure. Also find the maximum bending moment and its position. (AU Nov’ 07)
33. Two beams are simply supported over the same flexural strength. Compare the weights of these two beams, if one of them is solid and the other is hollow circular with internal diameter half of the external diameter.
UNIT 3 - TORSION PART – A
. Define torsion.
2. What are the assumptions made in torsion equation. (AU Nov’ 04)
3. Write the polar modulus for solid shaft and circular shaft. (AU Oct’ 05)
4. Why the hollow circular shafts are preferred when compared to solid circular shafts?
(AU Apr’ 09,08)
5. Write down the equation for maximum shear stress of a solid circular section in diameter ‘ D ’
when subjected to torque ‘ t ’ ? (AU Nov’ 05)
6. Define torsional rigidity. (AU May’ 04)
7. Write an expression for the angle of twist for a hollow circular shaft with external diameter D, internal diameter d, length l and rigidity modulus G. (AU May’ 03)
8. What is the power transmitted by circular shaft subjected to a torque of 700KN-m at 110 rpm. (AU Nov’ 03)
9. Calculate the maximum torque that a shaft of 125 mm diameter can transmit, if the maximum angle of twist is 1o in a length of 1.5m. take C =70x103 N/mm2. (AU May’ 05)
10. Find the torque which a shaft of 50mm diameter can transmit safely, if the allowable shear stress is 75N/mm2. (AU May’ 06)
11. Differentiate open coiled helical spring from the close coiled helical spring and state the type of shear induced in each spring due to an axial load. (AU May’ 06)
12. What do you mean by section modulus? Find an expression for section modulus for rectangular, circular & hollow circular sections. (AU Apr’ 09)
13. Define and explain the terms: Modular ratio, flitched beams & Equivalent sections.(AU Oct’ 07)
14. Define shear flow and Write down the bending equation. (AU Nov’ 06)
15. (a).The plane of load should contain of load should contain one of the principal axes of inertia, so that the neutral axis is perpendicular to the plane of load –true or false.
(b).In the theory of simple bending neutral axis is the centroidal axis perpendicular the plane of load – true or false. (AU Apr’ 06)
16. State the theory of simple bending and also assumptions made in the theory on bending?
(AU Nov’ 05)
17. A beam subjected to a bending stress of 5N/mm2 and the section modulus is 3530 cm3. What is the moment of resistance of the beam? (AU Nov’ 04)
18. How would you find the bending stress in unsymmetrical sections? (AU Oct’ 10)
19. What do you understand by the assumption, plane section remain plane even after the application of load? (AU Oct’ 10)
20. Draw the bending stress distribution for a symmetrical I section.