2. * A pin-jointed support frame for a machinery housing comprises two rigid but mass- less vertical columns AB and CD together with two bracing cables AD and BC, as shown below, which may be assumed to be incapable of supporting compression. The cross-sectional area and elastic modulus of each cable are 3 cm² and 200 kN mm respectively, and the total weight of the machinery and housing supported by the columns is 100 kN. (a) Calculate the period, T, of free undamped transverse vibrations of the support frame. (b) If the housing is subjected to a blast load, p(t), of the form given in Figure 6(e) of the notes with a maximum load po = 30 kN and a duration of t₁ = 0.5 s, use the response spectrum to calculate the maximum stress in the bracing cables assuming that they remain elastic.

2. * A pin-jointed support frame for a machinery housing comprises two rigid but mass- less vertical columns AB and CD together with two bracing cables AD and BC, as shown below, which may be assumed to be incapable of supporting compression. The cross-sectional area and elastic modulus of each cable are 3 cm² and 200 kN mm respectively, and the total weight of the machinery and housing supported by the columns is 100 kN. (a) Calculate the period, T, of free undamped transverse vibrations of the support frame. (b) If the housing is subjected to a blast load, p(t), of the form given in Figure 6(e) of the notes with a maximum load po = 30 kN and a duration of t₁ = 0.5 s, use the response spectrum to calculate the maximum stress in the bracing cables assuming that they remain elastic.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Answer Letter D only
As shown in the figure below, a uniform bar with mass m moves freely along a vertical tube at one end, suspended from a spring, and moving along a horizontal tube. At this time, find the equilibrium state, and find the stability of each. (When the spring constant is k and x=0, the spring is not deformed.)
A copper wire, caliber 16 AWG (diameter of 0.1019 in.) 4 ft in length, is stretched with a force of 500 lb. It lengthens 0.21 in. and its diameter is reduced 0.10175 in. Determine the modulus of elasticity, from its response in 10^3 ksi.
Q2. A young child is suspended in a baby bouncer as shown in Figure Q2, with k = 555 N/m and c = 6 Ns/m, and it is observed that the equilibrium is established when the flexible chords are stretched down by 224 mm. k,c Figure Q2 The parents pull the child down by 185 mm from the equilibrium position and release her. (a) Determine the mass of the child. (b) Determine the circular frequency of the undamped vibration. (c) Calculate the damping ratio. (d) What is the amplitude of the vertical displacement of the child from the equilibrium position after 5 oscillations? (e) Calculate the amount of energy stored in the chords when the child is back in the equilibrium position.
Solve it
A 11-lb wheel is mounted on a 2-lb plate whose center is attached to a 1.6 in diameter, 30 in long (G = 11606.22 kips/in^2) steel bar, which is fixed at its other end_ The centroidal polar moment of inertia of the plate is 220 slugs-in^2. The period of torsional oscillation of this assembly is 0.15 s. What is the polar moment of inertia of the wheel?
The uniform bar AB shown in Fig. mass of 10 kg. The spring is unstretched when 6= 0°. If 4 = 50 N/m and L= 2m, determine the angle e for equi- has a librium. www.
Need correctly handwritten. Urgent
Example: A (1.84 N) body is suspended by a spring which is stretched (15.3 cm) when it is loaded. If the body is drawn down (10 ¢m) from the position of equilibrium; find the position of the spring as a function of time (7) if: . €=15 2. ¢=3.75 3.¢=3 Dashpot | E=
None
The spring index of a helical spring is calculated by the following: (a) Ratio of wire diameter to mean coil diameter. (b) Force per unit cross-sectional area of spring (c) Force required to produce unit deflection (d)Ratio of mean coil diameter to wire diameter. Which one is correct? O a. Option (a) only O b. Option (d) only Oc. Option (b) only O d. Options (C) & (d) only
A floating column AB of length L, is modelled with top end fixed and bottom end yielding under column load. The yielding support can be visualised as an axial spring of stiffness k. If an axial force Pis applied at a distance 'a' from the top, determine reactions at the ends A and B and displacement at the end B.