Assignment no 3
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This document contains 18 problems related to calculating beam support reactions using concepts like types of beam supports, virtual work, simply supported beams, overhanging beams, cantilever beams, beam bents, and compound beams. The problems include calculating support reactions for various beams under different loading conditions like point loads, uniformly distributed loads, and concentrated moments. Solutions are provided for some of the problems.
Assignment no 3
- 1. BEAMS Page 1 ASSIGNMENT NO.3 BEAMS AND SUPPORT REACTIONS 1. What are the different types of beam support? Explain the reactions exerted by each type of support.(4 Mks) or 1. What are the different types of supports? Indicate with neat sketch of reactions offered by them. 2. Explain the concept of virtual work? (3 Mks) PROBLEMS ON SIMPLY SUPPORTED BEAM 1. Find the support reactions for the beam shown in Fig. below. 2. Find the support reactions for the beam shown in Fig. below. 3. Find the support reactions for the beam shown in Fig. below.
- 2. BEAMS Page 2 4. A beam ABCDEF is supported at A and E. Beam carries a point load of 58 kN acting vertically downwards at B, another point load of 85 kN acting at C making an angle of 71.5650 with horizontal, udl of 18 kN/m from D to F. Find a concentrated moment (clock-wise) of 56 kN-m at F. It supported at A which is hinged and at E roller supported. Find the reactions at two supports. L(AB) = 0.5 m, L(BC) = 1 m, L(CD) = 1 m, L(EF) =1m, L(EF) = 1.5 m. Ans: Va = 76.58 kN, Ha = 26.88 kN and Re = 107.06 kN. 5. Find the support reactions for the beam as shown in Figure below. PROBLEMS ON OVERHANGING BEAM 6. Find the reactions of the beam as shown in Figure below
- 3. BEAMS Page 3 7. Analyze the overhanging beam loaded as shown in Fig. below. (Dec 2010 10 Mks) 8. An overhanging beam is on rollers at A and hinged at B and is loaded as shown in Fig. below. Determine the reactions at A &B. (May 2009 10 Mks) 9. PROBLEMS ON CANTILEVER BEAM 10.
- 4. BEAMS Page 4 BEAM AS BENT 11. Determine the reactions at supports A and C of a structural bent as shown in Fig. below. COMPOUND BEAM 12. Determine the reactions at supports A, C and D in the compound beam as shown in Fig. 13. Find the reactions at all the supports of a compound beam as shown in Fig. below.( Jan 2004 10 Mks)
- 5. BEAMS Page 5 14. Determine the reactions at A, B and D of the system shown in Figure below. Neglect self weight of members. Ans: Ra = 6.67 kN, Rb = 10.15 kN PROBLEMS ON VIRTUAL WORK CONCEPT 15. Find the reactions of the beam as shown in Figure below by the principle of virtual work. Ans: Ra = 383.33 kN, Rb = 16.67 kN 16. Using the concept of virtual work find the reactions at both the supports of a simply supported beam as shown in Fig. below. ( Jan 2004 10 Mks)
- 6. BEAMS Page 6 17. Using the concept of virtual work find the reactions at both the supports of a simply supported beam as shown in Fig. below. ( Dec 2004 06 Mks) 18. Find the support reactions of the beam as shown in Figure below by the principle of virtual work. Ans: Ra = 8 kN, Rb = 1 kN