e structural frame shown in Figure I(c) is rigid jointed and fixed to its supports. The mass of the structure is 5000 kg and is concentrated on the beam that is assumed to be rigid. The two columns are assumed to be massless and each has a flexural stiffness (EI) of 4.5xl10€ Nm². If the structure has a damping ratio () of 4% (=0.04), calculate; the damped natural frequency of the structure. m= 5,000 kg Deflected shape when oscillating L= 3m

e structural frame shown in Figure I(c) is rigid jointed and fixed to its supports. The mass of the structure is 5000 kg and is concentrated on the beam that is assumed to be rigid. The two columns are assumed to be massless and each has a flexural stiffness (EI) of 4.5xl10€ Nm². If the structure has a damping ratio () of 4% (=0.04), calculate; the damped natural frequency of the structure. m= 5,000 kg Deflected shape when oscillating L= 3m

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter3: The Structure Of Real Materials

Section: Chapter Questions

Problem 22CQ

See similar textbooks

Similar questions

Show step by step
A high-strength bolt that passes through a steel plate is subjected to a tension force of P as shown in the figure. The hole in the metal plate has a diameter of D=17 mm which is slightly larger than the diameter of the bolt (d, = 12 mm) to allow for easy installation process. The plate has a thickness of t= 9 mm. The bolt head has a thickness of a = 9 mm and an outer diameter of dn = 24 mm. %3D Determine: A) the maximum value of P before the shear stress in the rod head exceeds Thot = 105 MPa. B) the maximum value of P before the punching shear stress in the support plate exceeds Tplate = 75 MPa. C) the maximum value of P before the bearing stress between the rod head and the support plate exceeds aplate = 110 %3D MPa. D) the maximum value of Pmax that can be supported by the structure.
The critical resolved shear stress for a metal is 24 MPa. Determine the maximum possible yield strength (in MPa) for a single crystal of this metal that is pulled in tension. i MPa
A structural component in a fighter jet aircraft has a cellular cross-section (Fig. Q1). The component is 2 m long and is fabricated from an Al alloy, whose modulus of rigidity is 30 GPa. During a certain maneuver of the aircraft, a torque of 40 Nm is applied to the component. Using the Membrane Analogy Method, calculate: (a) the torsional shear stress in each cell of the cross-section; and (b) the angle of twist of the component, giving your answer in degrees. 2mm 75 15m 600mm FIG. Q1
Advanced structural engineering
topic- solid mech.
Solve fast please
Show that the response of a structure subjected to a critically damped free response have initial boundary conditions u = u(0) and ủ = ü(0) is given by the equation u(t) -@nt[u(0) + t[u(0)wn + ù(0)]]
Triangular wedges stresses.
If 8, is the thickness of laminar boundary layer at a distance x₁ from the leading edge of the flat plate, the thickness 8₂ at x₂ = 2x, is equal to
A mild steel flat of width 100 mm and thickness 12 mm is bent into an arc of a circle of radius 10 m by applying a pure moment M. If Young's modulus tilde E = 200GPa then the magnitude of M is? (a) 72 Nm (c) 216 Nm (b) 144 Nm (d) 288 Nm
A gold-alloy microbeam attached to a silicon wafer behaves like a cantilever beam subjected to a uniform load (see figure). The beam has a length L = 24.5 um and rectangular cross section of a width b = 4.0 pm and thickness t = 0.88 um. The total load on the beam is 14.9 µN. If the deflection at the end of the beam is 1.53 um, what is the modulus of elasticity E, of the gold alloy (in GPa)? (Use the formulas of this example. The beam has constant flexural rigidity EI.) GPa