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Civil - Strength of Materials - Indeterminate Beams

**A fixed beam AB of length 6m carries point load of 160 kN and 120 kN at a distance of 2m and 4m from the left end A. Find the fixed end moments and the reactions at the supports. Draw B.M and S.F diagrams.**

** A fixed beam AB of length 6m carries two point loads of 30 kN each at a distance of 2m from the both ends. Determine the fixed end moments and draw the B.M diagram.**

** Find the fixing moments and support reactions of a fixed beam AB of length 6m, carrying a uniformly distributed load of 4kN/m over the left half of the span.**

**What are the fixed end moments for a fixed beam of length 'L load 'w' at a distance 'a' from left end?**

Fixed End Moment:

** A fixed beam of length 5m carries a uniformly distributed load of 9 kN/m run over the entire span**.** If I = 4.5x10-4 m4 and E = 1x107 kN/m2, find the fixing moments at the ends and deflection at the centre.**

** A fixed beam AB, 6m long is carrying a point load of 40 kN at its center**.** The M.O.I of the beam is 78 x 106 mm4 and value of E for beam material is 2.1x105 N/mm2. Determine (i) Fixed end moments at A and B.**

** A fixed beam AB of length 3m is having M.O.I I = 3 x 106 mm4 and value of E for beam material is 2x105 N/mm2. The support B sinks down by 3mm. Determine (i) fixed end moments at A and B.**

** A fixed beam AB, 3m long is carrying a point load of 45 kN at a distance of 2m from A**.** If the flexural rigidity (i.e) EI of the beam is 1x104kNm2. Determine (i) Deflection under the Load.**

** A fixed beam of 5m span carries a gradually varying load from zero at end A to 10 kN/m at end B. Find the fixing moment and reaction at the fixed ends.**

** A continuous beam ABC covers two consecutive span AB and BC of lengths 4m and 6m, carrying uniformly distributed loads of 6kN/m and 10kN/m respectively. If the ends A and C are simply supported, find the support moments at A,B and C. draw also B.M.D and S.F.D.**

** A continuous beam ABCD of length 15m rests on four supports covering 3 equal spans and carries a uniformly distributed load of 1.5 kN/m length .Calculate the moments and reactions at the supports. Draw The S.F.D and B.M.D.**

** A continuous beam ABCD, simply supported at A,B, C and D is loaded as shown in fig.**

** Find the moments over the beam and draw B.M.D and S.F.D.**

**(i) ****B.M.D due to vertical loads taking each span as simply supported:**

** (ii) B.M.D due to support moments:**

Since the beam is simply supported MA =MD = 0

a) For spans AB and BC

** Using the theorem of three moments draw the shear force and bending moment diagrams for the following continuous beam.**

** A beam AB of 4m span is simply supported at the ends and is loaded as shown in fig.**

** Determine (i) Deflection at C (ii) Maximum deflection (iii) Slope at the end A.**

** E= 200 x 106 kN/m2 and I = 20 x 10-6 m4**

** 9. A continuous beam is shown in fig. Draw the BMD indicating salient points.**

**10. A cantilever beam AB of span 6m is fixed at A and propped at B. The beam carries a udl of 2kN/m over its whole length. Find the reaction at propped end.**

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