Determine reactions of the overhanging beam, Mechanical Engineering

Determine reactions of the overhanging beam:

Determine reactions at points A and B of the overhanging beam as shown in the figure given below.

First change UDL in point load.

1939_Determine reactions of the overhanging beam.png

Figure

Resolve all the forces in horizontal direction and vertical direction. As hinged at point A (one vertical and horizontal reaction).

Let reaction at hinged that is, point A is RAH and RAV, Let ∑H & ∑V is the sum of horizontal and vertical component of forces, The supported beam is in equilibrium, thus Draw the free body digram of the beam as shown in the given figure, As beam is in equilibrium, that is

RAH = 30 cos45° = 21.2KN

RAH = 21.21KN                                                               .......ANS

∑V = 0;

RAV  -30 sin45 - 40 + RBV  = 0

RAV + RBV = 61.2KN                                                                                                                          ...(i)

By taking moment about B,

RAV  × 6 + 40 - 30 sin45 × 1 + 40 × 1 = 0

RAV = - 9.8 KN              .......ANS

Putting value of RAV in the equation (i), we get

RBV = 71KN          .......ANS

Thus reaction at support A that is RAV  = -9.8KN, RAH  = 21.2KN, RBV  = 71KN

Posted Date: 10/17/2012 5:30:56 AM | Location : United States






Your posts are moderated
Related Questions
Maintenance of Bridges and Culverts: Careful inspection of bridges and culverts at periodic intervals can detect cracks, foundation settlement, scour, malfunction of bearings

Working of Engine Lubrication System: The oil flows from oil pump into the distribution chamber, where it is divided into two parts. One part enters into the right crankcase cove

Plate clutch pressure height: Check plate clutch pressure leg height by placing the plate clutch pressure on the surface plate. Plate clutch pressure should not tilt on the surfac

impartance of moulding sand

DUTY CYCLE RATING Since, arc welding power sources are delivering high currents for welding; the components of such a system are bound to get heated. In order to have increase

Oxides These comprise alumina, magnesia, thoria, beryllia and zirconia. Other oxides that are utilized sparingly due to high cost comprise hafnia, ceria and yttria. Variety of

a) state Newton's Law of Viscosity and also define the various unit of Viscosity. Also describe how viscosity changes with temperature. b) a uniform body of size 3m long x 3m wi

Numerical Problems Based on the Cantilever Beam: Draw the SF and BM diagram for the beam as shown in the figure given below. Also indicate principal values on diagrams.

Ladder friction: .: A ladder is an arrangement which is used for climbing on the walls. It consists of two long uprights of wood or iron and connected by many cross bars. Th

Determine the reaction: The cantilever is shown in the figure given below; determine the reaction when it is loaded.   In cantilever at fixed end ( A ) there is three reac