Question

Problem 2 A part of a building structure is supported by the two square-end helical springs, as shown in the figure below, to isolate a vibration. To further isolate the vibration, additional square-end spring is placed below the two spring at the center; the dimensions are as tabulated. Both spring types have the same free length and carrying a total maximum load of6000 N. (Assume G= 72 GN/m, and use Kw). Hint: The F-6000N acting on Type-l springs is totally transferred to Type-2 spring through the base plate shown in the figure. Embedded bded Anchor Fiare chor Pla Type-1 Spring Type-2 Spring 10 12mm 125mm Nt 16mm 150mm End condition Square& Square & groundec groundec Find a) Find the solid length for the two spring types b) The load carried by each spring c) The deflection occurred in each spring d) The maximum stress in Type-1 spring c) What is the total spring constant of the entire system.

Answer 1

TypeL Sp 12mm G mm somm づpe achng on pe sprinys ping s and is tol (vansfered to type 2 o Shouun 4) Solid loeqth: Cr

each sprnq a belew Fae body di cry 2_ Foi Mpe3: 9aeleimls lhs deftechon exuiedeach spring as belouw Tpe spi Dro.ns mi n.2 10, ₫: O Subshtule all value, in四u。 313.1 mm pe Spiga

subs4bale ali valve lhes«C 27um SL 274.6mm Td3 C2) 0.615 C as o.eLS 4.138 X& 60Oxo.1LS 623.2sL tpe π Y (σ.olg)3

aS belouw OLU kt 153 tN/m 2 12xis3x(o.ole)y Snce (he typel The ota Spn constan