Find out the reactions at point, Mechanical Engineering

Assignment Help:

Find out the reactions at point:

A beam AB is hinged at A and is supported at C. It is loaded as revealed in Figure. Find out the reactions at A and C.

2314_Find out the reactions at point.png

Solution

Let the reaction components at A be HA and VA as illustrated in Figure. The reaction at C shall be acting vertically upwards. As the beam is at rest under the action of the forces, the conditions of equilibrium may be applied.

Taking moments of all of forces about A, we obtain

∑ M A  = 0

18 × 3 × (3/2) + (40 sin 60o ) × 5 - Rc × 7 + 24 × 9 = 0

∴ 81 + 173.2 - 7 Rc + 216 = 0

∴ Rc = (81 + 173.2 + 216) /7

= 67.171 kN

 [Note : Moments because of HA, VA and 40 cos 60o regarding A are zero as they pass through point A. Clockwise moments are taken as +ve.]

Now, ∑ Fx  = 0

∴ H A - 40 cos 60o  = 0

∴ H A = 40 × 0.5 = 20 kN

and, ∑ Fy  = 0

∴ VA  - (18 × 3) - 40 sin 60o  + Rc  - 24 = 0

∴ VA  = 54 + 34.64 - 67.171 + 24

= 45.469 kN

1555_Find out the reactions at hinge2.png

 = 49.673 kN

tan θ= VA / H A = 45.469/20  = 2.2734

∴ θ = 66.257o  = 66o 15′ 25′′

The reaction at A contain a magnitude of 49.673 kN and is inclined at 66o 15′ 25′′ with respect to horizontal whereas reaction at C is working vertically upwards and has a magnitude of 67.171 kN.


Related Discussions:- Find out the reactions at point

Calculate the shear flows at the wall, The tapered, two-cell beam is subjec...

The tapered, two-cell beam is subjected to a pure torque of 50,000 in-lb counter clockwise. The length of the beam (normal to the figure) is 100 in. The flange areas are 1 sq in an

Locomotive boiler, advantages and disadvantages of locomotive boiler

advantages and disadvantages of locomotive boiler

Cad, c programms fpr cycloidal motion

c programms fpr cycloidal motion

Design a transition diagram, 1. Given the following grammar S à 0A0 | 1B1 |...

1. Given the following grammar S à 0A0 | 1B1 | BB; A à C; B à S | A; C à S | ε, (a) ( Derivation ) Given a left-most and right-most derivation of a string 01001110 (b) ( Parse tree

Can you explain investment casting, Q. Can you explain Investment casting? ...

Q. Can you explain Investment casting? -Investment casting produces very high surface quality and dimensional accuracy. -Investment casting is commonly used for precision eq

Assigment.., Describe the internal structure, bonding of atoms and molecule...

Describe the internal structure, bonding of atoms and molecules and to understand the mechanical properties of materials. Comprehensive understanding of properties of materials, at

Complete outer clutch lugs for deep cuts, Complete outer clutch lugs for de...

Complete outer clutch lugs for deep cuts: Visually check for any deep cuts formed on the outer complete clutch lugs.

Spinal fluid collection, Spinal fluid Collection:    Spinal fluid is u...

Spinal fluid Collection:    Spinal fluid is usually obtained from lumbar region, although may be obtained during surgery from the cervical region or from the cistern or ventri

Moments, what is resultant of coplanar non concurrent forces

what is resultant of coplanar non concurrent forces

Short-term scheduling and control, Short-Term Scheduling And Control Th...

Short-Term Scheduling And Control The major objective at this stage is to make sure the efficient and smooth operation of the system in the event of unforeseen disturbances. Th

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd