Determine the distance of application of the load:

A rigid bar of negligible weight transmits a load W to a combination of 3 springs as illustrated in Figure. The three springs are built of the similar material and are of equal diameters. They are of the similar length before loading. The number of coils in three springs are 10, 12 and 15 respectively, when the mean radii of coils are in the proportion 1 : 1.2 : 1.5 respectively. Determine the distance x such that the rigid bar remains horizontal after the application of the load.

Figure

Solution

As the springs are in parallel, Δ is simialr.

W₁  + W₂  + W₃  = W ---------- (1)

G is similar, d is same.

R₂  = 1.2 R₁

R₃  = 1.5 R₁

n₁  = 10; n₂  = 12; n₃  = 15

Δ= 64 W R³ n/ Gd ⁴

⇒         W = Δ Gd ⁴/64 R³ n

W  =     K/ K R³ n

The FBD of bar illustrated in Figure

Figure

 Now, taking moments around A,

W . x = W₂ × l + W₃  × 2l

⇒ 0.168 × x = 0.048 × l + 0.02 × 2l

∴ x = 0.52 l

Posted Date: 1/21/2013 1:57:46 AM | Location : United States

Ask an Expert

Related Discussions:- Determine the distance of application of the load, Assignment Help, Ask Question on Determine the distance of application of the load, Get Answer, Expert's Help, Determine the distance of application of the load Discussions

Write discussion on Determine the distance of application of the load
Your posts are moderated

Write your message here..

Related Questions

Mechanics of material, bendind moment equation bendind moment equation

DESIGN, HOW DO I DESIGN A COMPONENT FOR IMPACT STRENGTH FOR IMPACT LOAD AT ... HOW DO I DESIGN A COMPONENT FOR IMPACT STRENGTH FOR IMPACT LOAD AT LOWER TEMPERATURE

What is interference, a) What is Interference and show the relation for the... a) What is Interference and show the relation for the minimum number of teeth required for a wheel. b) Show the relations for Maximum length of path of contact and Maximum lengt

Moment of inertia.., mathematical expression of moment of inertia mathematical expression of moment of inertia

Green chemistry, what is green chemistry with diagram what is green chemistry with diagram

Introduction to motorcycle servicing , INTRODUCTION: Automobile service an... INTRODUCTION: Automobile service and maintenance is a very important function in the automobile industry for achieving highest level of customer satisfaction. Earlier it was confi

Determine the service and backwash rates, Service duty point: 3 m3/h Backw... Service duty point: 3 m3/h Backwash duty point: 9 m3/h Part (a) What is the speed of the pump to achieve the service and backwash flow rates ? Part (b) What would be the best

Advantages of casting process, Advantages of Casting Process: Electri... Advantages of Casting Process: Electric Furnace : The melting of steel by electric furnaces developed rapidly for the availability of cheap electric power. Electricity is us

Magnetic device with moving iron element , A singly excited magnetic device... A singly excited magnetic device with a moving iron element is illustrated in the figure below. g = 0.10 mm d = 2.0 cm b = 3.0 cm Assume the mmf in the iron and th

Steam table - thermodynamics, Steam table - Thermodynamics: Sol.: St... Steam table - Thermodynamics: Sol.: Steam table offers various physical data regarding the properties of saturated water and steam. This table is very helpful in solving the