Two closely-coiled helical springs 'A' and 'B' are equal in all respects but the number of turns of spring 'A' is double that of spring 'B'. The stiffness of spring 'A' will be __________ that of spring 'B'.
A. One-sixteenth
B. One-eighth
C. One-fourth
D. One-half
Answer: Option D
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A. Equal to
B. Less than
C. Greater than
D. None of these
A. $$\frac{{{\text{w}}l}}{6}$$
B. $$\frac{{{\text{w}}l}}{3}$$
C. $${\text{w}}l$$
D. $$\frac{{2{\text{w}}l}}{3}$$
The columns whose slenderness ratio is less than 80, are known as
A. Short columns
B. Long columns
C. Weak columns
D. Medium columns
K= GD⁴/64R³×n
where D = Mean diameter of the spring coil, d = Diameter of the spring wire, n = Number of active coils, G = Modulus of rigidity for the spring material, W = Axial load on the spring.
From here it is clear that,
k ∝ d4