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


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
what is the velocity and acceleration when connecting rod and crank are mutually perpendicular?

Classification Based on Mode of Welding Manual welding: In this welding the entire welding operation is performed and controlled by hand. Here, there are two movements involv

Free body diagram: Sol.: In a free body diagram, the body is considered by itself and also the effect of the surroundings on the body is shown by forces and moments. Free bod

Determine reactions on compound beams: Determine reactions at the support A , B , C , and D for arrangement of compound beams shown in the figure given below.

Explain the Base of radial drilling machine The base of the drilling machine handles the entire machine and when bolted to the floor, gives for vibration-free operation and bes

Describe the use of computer in : (i) Design (ii) Manufacturing Illustrate the design process and application of CAD.

Write a MATLAB program to find the undamped natural frequencies and modes of an electric car treating it as a four degree of freedom system. Determine the undamped natural frequenc

Please help me solve the following problem. Steam is throttled from a pressure of 700kPa to 100kPa and a temp. of 100 degrees Celsius. Determine the dryness factor of the steam

A circumferential fin rectangular profile is constructed of Cu and surrounds a tube having a diameter of 1.25 cm.  The fin length is 6 mm and its thickness is 0.3 mm. The fin is ex