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BEAMS Page 1
CHAPTER NO.3
BEAMS AND SUPPORT REACTIONS
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.
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
7. Analyse the overhanging beam loaded as shown in Fig. below. (Dec 2010 10 Mks)
BEAMS Page 3
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. 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
10.
BEAMS Page 4
PROBLEMS ON CANTILEVER BEAM
11.
12.
BEAM AS BENT
13. Determine the reactions at supports A and C of a structural bent as shown in Fig. below.
BEAMS Page 5
COMPOUND BEAM
14. Determine the reactions at supports A, C and D in the compound beam as shown in Fig.
15. Find the reactions at all the supports of a compound beam as shown in Fig. below.( Jan 2004 10 Mks)
BEAMS Page 6
16. 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
17. 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
18. 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)
BEAMS Page 7
19. 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)

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Beams prob

  • 1. BEAMS Page 1 CHAPTER NO.3 BEAMS AND SUPPORT REACTIONS 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 7. Analyse the overhanging beam loaded as shown in Fig. below. (Dec 2010 10 Mks)
  • 3. BEAMS Page 3 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. 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 10.
  • 4. BEAMS Page 4 PROBLEMS ON CANTILEVER BEAM 11. 12. BEAM AS BENT 13. Determine the reactions at supports A and C of a structural bent as shown in Fig. below.
  • 5. BEAMS Page 5 COMPOUND BEAM 14. Determine the reactions at supports A, C and D in the compound beam as shown in Fig. 15. Find the reactions at all the supports of a compound beam as shown in Fig. below.( Jan 2004 10 Mks)
  • 6. BEAMS Page 6 16. 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 17. 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 18. 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)
  • 7. BEAMS Page 7 19. 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)