Example 10.6 A railway wagon moving at a velocity of 1.5 m/s is brought to rest by a bumper consisting of two helical springs arranged in parallel. The mass of the wagon is 1500 kg. The springs are compressed by 150 mm in bringing the wagon to rest. The spring index can be taken as 6. The springs are made of oil-hardened and tempered steel wire with ultimate tensile strength of 1250 N/mm? and modulus of rigidity of 81 370 N/mm². The permissible shear stress for the spring wire can be taken as 50% of the ultimate tensile strength. Design the spring and calculate: (i) wire diameter; (i) mean coil diameter; (üi) number of active coils;
Example 10.6 A railway wagon moving at a velocity of 1.5 m/s is brought to rest by a bumper consisting of two helical springs arranged in parallel. The mass of the wagon is 1500 kg. The springs are compressed by 150 mm in bringing the wagon to rest. The spring index can be taken as 6. The springs are made of oil-hardened and tempered steel wire with ultimate tensile strength of 1250 N/mm? and modulus of rigidity of 81 370 N/mm². The permissible shear stress for the spring wire can be taken as 50% of the ultimate tensile strength. Design the spring and calculate: (i) wire diameter; (i) mean coil diameter; (üi) number of active coils;
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Example 10.6 A railway wagon moving at a
velocity of 1.5 m/s is brought to rest by a bumper
consisting of two helical springs arranged in
parallel. The mass of the wagon is 1500 kg. The
springs are compressed by 150 mm in bringing the
wagon to rest. The spring index can be taken as 6.
The springs are made of oil-hardened and tempered
steel wire with ultimate tensile strength of 1250
N/mm? and modulus of rigidity of 81 370 N/mm?.
The permissible shear stress for the spring wire can
be taken as 50% of the ultimate tensile strength.
Design the spring and calculate:
(i) wire diameter;
(i) mean coil diameter;
(ii) number of active coils;
(iv) total number of coils;
(v) solid length;
(vi) free length;
(vii) pitch of the coil;
(vii) required spring rate; and
(ix) actual spring rate.
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