Question Bank - Unit III
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Mount Zion College of Engineering & Technology To Make Man Whole!! An ISO 9001:2008 Certified Institution Encl. 35 a. : QUESTION BANK AE 2203 SOLID MECHANICS UNIT III Deflection of Beams TB 1 TB 2 REF 1 Nash William – “Strength of Materials”, TMH, 1998 Timoshenko.S. and Young D.H. – “Elements of strength materials Vol. I and Vol. II”., T. Van Nostrand Co-Inc Princeton-N.J. 1990. “Strength of Materials” – R.K.Rajput Qs. No. Questions Univ. Qs Textboo k No. Ans - Page Nos. Mar k TLP No.1 Double Integration Method 1. Define Slope. - Ref 1 399 2 2. Define Deflection. May 10 Ref 1 399 2 3. What are the Methods are available to find slope and deflection? - Ref 1 401 2 4. Derive Slope and deflection for Cantilever beam having concentrated load at free end. May 11 Ref 1 401 8 5. Derive Slope and deflection for Cantilever of length l having concentrated load W at distance ‘a’ from fixed end. - Ref 1 402 8 6. Derive Slope and deflection for Cantilever of length l having UDL over whole length. - Ref 1 403 8 7. Derive Slope and deflection for Simply supported beam carrying point load at centre. May 09 Ref 1 415 8 8. Derive Slope and deflection for Simply supported beam carrying UDL over whole length. - Ref 1 416 8 9. A 2m long Cantilever made of steel tube of section 150mm external dia and 10mm thick is loaded with UDL. E=200GN/m 2 . Calculate (i) Find W if maximum Bending stress is 150MN/ m 2 . (ii) Maximum deflection May1 0 Ref 1 410 12 10. A cantilever of 3m length and of uniform rectangular cross section 150mm wide and 300mm deep is loaded with a 30kN at its free end. In addition to that it carries UDL of 20kN/m over its entire length. Calculate, (i) Maximum Slope and deflection. (ii) Slope and deflection at 2m from fixed end. - Ref 1 411 16 11. A steel girder of 6m long acting as a beam carries UDL ‘w’ N/m run throughout the whole length. I=30*10 -6 m 4 and depth 270mm. Calculate, (i) Magnitude of W when maximum stress developed not exceeds 72 MN/m 2 . (ii) Slope and deflection in the beam at distance of 1.8m from one end. Take E=200GN/m 2 . May 11 Ref 1 418 16 TLP No.2 Macaulay’s Method 12. Define Method of Singularity functions. - Ref 1 420 2 13. Why Macaulay’s Method is Advantageous than other methods? - Ref 1 420 4 Pilivalam P.O, Pudukkottai Dt., Tamil Nadu. Pin - 622 507, Fax: 04333 – 277125, Ph: 04322 - 320801, 320802, Website: www.mzcet.in, Email: [email protected] Page 1 of 3
Transcript of Question Bank - Unit III
Mount Z ion Col lege of Engineer ing & Technology
To Make Man Whole! !
A n I S O 9 0 0 1 : 2 0 0 8 C e r ti fi e d I n s ti t u ti o n
Encl. 35 a. : QUESTION BANK
AE 2203 SOLID MECHANICSUNIT III Deflection of Beams
TB 1TB 2REF 1
Nash William – “Strength of Materials”, TMH, 1998Timoshenko.S. and Young D.H. – “Elements of strength materials Vol. I and Vol. II”.,T. Van Nostrand Co-Inc Princeton-N.J. 1990.“Strength of Materials” – R.K.Rajput
Qs. No. QuestionsUniv.Qs
Textbook No.
Ans - Page Nos.
Mark
TLP No.1 Double Integration Method
1. Define Slope. - Ref 1 399 22. Define Deflection. May
10Ref 1 399 2
3. What are the Methods are available to find slope and deflection? - Ref 1 401 24. Derive Slope and deflection for Cantilever beam having concentrated
load at free end.May 11
Ref 1 401 8
5. Derive Slope and deflection for Cantilever of length l having concentrated load W at distance ‘a’ from fixed end.
- Ref 1 402 8
6. Derive Slope and deflection for Cantilever of length l having UDL over whole length.
- Ref 1 403 8
7. Derive Slope and deflection for Simply supported beam carrying point load at centre.
May 09
Ref 1 415 8
8. Derive Slope and deflection for Simply supported beam carrying UDL over whole length.
- Ref 1 416 8
9. A 2m long Cantilever made of steel tube of section 150mm external dia and 10mm thick is loaded with UDL. E=200GN/m2.Calculate
(i) Find W if maximum Bending stress is 150MN/ m2.(ii) Maximum deflection
May10 Ref 1 410
12
10. A cantilever of 3m length and of uniform rectangular cross section 150mm wide and 300mm deep is loaded with a 30kN at its free end. In addition to that it carries UDL of 20kN/m over its entire length. Calculate,
(i) Maximum Slope and deflection.(ii) Slope and deflection at 2m from fixed end.
- Ref 1 411
16
11. A steel girder of 6m long acting as a beam carries UDL ‘w’ N/m run throughout the whole length. I=30*10-6 m4 and depth 270mm. Calculate,
(i) Magnitude of W when maximum stress developed not exceeds 72 MN/m2.
(ii) Slope and deflection in the beam at distance of 1.8m from one end.
Take E=200GN/m2.
May 11
Ref 1 418
16
TLP No.2 Macaulay’s Method
12. Define Method of Singularity functions. - Ref 1 420 213. Why Macaulay’s Method is Advantageous than other methods? - Ref 1 420 414. A beam AB of length l simply supported at the ends carries a point
load W at a distance ‘a’ from left end.Find Deflection and Maximum deflection.
May 11
Ref 1 42216
15. A beam with a span of 4.5m carries a point load of 30kN at 3m from left support. Ixx = 54.97x10-6 m4 and E = 200GN/m2, Find,
(i) Deflection(ii) Position and amount of Maximum deflection.
- Ref 1 424
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16. A steel girder of uniform section, 14m long is simply supported at its end. It carries a point load of 90kN and 60kN at 3m and 4.5m respectively. Calculate:
(i) Deflection of the girder at the points under two loads.(ii) The maximum deflection.Take : I=64x10-4m4 and E=210x10-6kN/m2
- Ref 1 425
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17. A beam AB of span 8m is simply supported at its ends. It carries a UDL of 30kN/m over entire length and also carries a concentrated load of 60kN at 3m from support A. Determine Maximum deflection in the beam and location where maximum deflection occurs.
Dec 11 Ref 1 428 16
Pilivalam P.O, Pudukkottai Dt., Tamil Nadu. Pin - 622 507, Fax: 04333 – 277125, Ph: 04322 - 320801, 320802, Website: www.mzcet.in, Email: [email protected] 1 of 2
Mount Z ion Col lege of Engineer ing & Technology
To Make Man Whole! !
A n I S O 9 0 0 1 : 2 0 0 8 C e r ti fi e d I n s ti t u ti o n
Encl. 35 a. : QUESTION BANK
AE 2203 SOLID MECHANICSUNIT III Deflection of Beams
Take:E=200x106 kN/m2
I=80x10-4 mm4
TLP No.3 Moment Area Method
18. Define Mohr’s Theorem. - Ref 1 447 219. Determine Slope and deflection for Cantilever with concentrated load
at free end.- Ref 1 448 6
20. Determine Slope and deflection for Cantilever with concentrated load at any point.
Dec 11 Ref 1 448 6
21. Determine Slope and deflection for Cantilever with UDL. - Ref 1 450 622. Determine Slope and deflection for simply supported with
concentrated load at centre.- Ref 1 450 6
23. Determine Slope and deflection for simply supported with UDL. - Ref 1 450 624. A cantilever of 3m span is 15cm wide and 25 cm deep. It carries a
UDL of 20kN/m over whole span and 25kN load at free end. Calculate Maximum slope and deflection. Take E= 210GN/m2.
- Ref 1 45616
25. A steel tube cantilever 4m long has outside diameter 120mm and thickness 10mm. It carries UDL w kN/m for 3m from fixed end. Find w and deflection at free end if the maximum stress due to bending is 7x104kN/m2
Take: E=2.1x108mm4
May 11
Ref 1 460
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26. A beam of 4m span is carrying a point load of 40kN at a distance of 3m from the left end. Calculate the slope at two supports and deflection under load. Also calculate Maximum deflection.Take: EI=2.6x107 Nm2.
- Ref 1 465
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TLP No.4 Conjugate beam Method
27. Explain Conjugate beam theorem I. - Ref 1 470 428. Explain Conjugate beam theorem I. - Ref 1 470 429. A simply supported beam of span I carries a point load W not at mid
span. Using Conjugate Beam method determine slope and deflection of beam under the load.
- Ref 1 47216
30. Using Conjugate Beam Method, For Cantilever beam of length AB carries a point load at the free end calculate slope and deflection at the free end.
- Ref 1 4828
31. A cantilever of length 6m carries a UDL of 10kN/m over the whole length. If E=200x106kN/m2 and I=30x10-5m4. Determine slope and deflection at free end using conjugate beam method.
- Ref 1 48516
TLP No.5 Principle of Superposition
32. Define Principle of Superposition. - Ref 1 495 2TLP No.6 Castigliano’s Theorem and its applications
33. Where Castigliano’s theorem is used? May 11
Ref 1 900 2
34. Derive Castigliano’s theorem. Dec 11 Ref 1 900 1635. A beam simply supported over a span of 3m carries a UDL of
20kN/m over entire span. Taking EI=2.25MNm2 and find deflection at the centre of the beam using castigliano’s theorem.
- Ref 1 90516
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