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;

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Q3) when we put in the class tube have diameter 1.5 mm liquid with mass density900 kg/m3 , the liquid rise in the tube about 15 mm . Calculate the surface tension force?
The collar of 5 kg mass shown in the figuremoves on a parabolic bar on a horizontal plane.The collar has a speed of 8 m/sec when it is atpoint B. Determine the friction force betweenthe collar and the bar if the coefficient offriction is 0.25. Formula of the parabolic bar isshown in the figure
The figure shows the infinitely rigid bar (ACD) suspended by three steel wires of diameter d and elasticity E, whose maximum allowable stress in the elastic range is σy. On the bar, weighing W, it also exerts a point force P as indicated in the figure. W= 10 [kN], P=5 [kN], d=5 [mm], L=1 [m], b=50 [cm], E=190 [GPa] , σy= 200 [MPa]. a) Calculate the vertical reactions on each of the wires.If applicable, indicate what wires are at risk of collapse b) Calculate the deformations of each wire for the case shown in a) c) Calculate the maximum deformations in each wire so that their behavior remains in the elastic range
A 450-g tetherball A is moving along a horizontal circular path at a constant speed of 4 m/s. (A) Determine the angle theta in degrees that the cord forms with pole BC, (B) determine the tension in the cord in Newton
Q4 A plate 0.05 mm distant from a fixed plate moves at 1.2 m / s and requires a force of 2.2 N / m² to maintain this speed. Find the viscosity of the fluid between the plates.
A uniform bar AB weighing 424 kN, is fastened by a frictionless pin to a block weighing 200 kN as shown in figure below. At the vertical wall, f = 0.268 while under the block f = 0.20. Determine the force P needed to start the motion to the right.
A thin cylinder 200mm internal diameter, 3mm thick has its ends closed with rigid plates. The cylinder is then filled with water. When an external axial pull of 60KN is applied to the ends then the water pressure is observed to fall by 0.1N/mm2.Determine the value of Poisson’s ratio. Take E = 170,000N/mm2, K=2000N/mm2.
The figure shows the infinitely rigid bar (ACD) suspended by three steel wires of diameter d and elasticity E σy, whose maximum allowable stress in the elastic range is σy. On the bar, weighing W, it also exerts a point force P as indicated in the figure. W= 10 [kN], P=5 [kN], d=5 [mm], L=1 [m], b=50 [cm], E=190 [GPa] , σy= 200 [MPa]. a) Calculate the vertical reactions on each of the wires.If applicable, indicate what wires are at risk of collapse b) Calculate the deformations of each wire for the case shown in a) c) Calculate the maximum deformations in each wire so that their behavior remains in the elastic range
The modulus of elasticity of the cantilever beam shown in the figure = 210.000 MPa and the length L = 5 m. Since q = 10 kN/m and 1=1,5x10-6 mm* end B collapses and calculate the rotation. 9 1 B L
The rectangular bin with an inclined gate AB is filled with oil (SG 0.8) to the depth shown. Determine the resultant force (kN) acting on the inclined side AB. Take density of glycerin = 2650 kg/m^3 x = 2.2 m a = 2.3 m b = 30 degree
1. A 6 kg slider is released from rest at Point A and slides with negligible friction in a vertical plane along the circular rodshown below. The attached springhas a stiffnessof 520 N/m and an unstretchedlength of 0.6 m.a. Determine the change in potential energy when the slider is at B in joules. b.Determine the change in elastic potential energy when the slider is at B in joules c. Determine the velocity of the slider at B in meters per second.
The rectangular bin with an inclined gate AB is filled with oil to the depth shown. Determine the resultant force (kN) acting on the inclined side AB. Take density of glycerin = 2650 kg/m^3 x = 2.2 m a = 2.3 m b = 30 degree