Q4/ Determine the equation of elastic curve of supporting she ig. stributed load of w L-a Deam art of its (20 Marks)

CS CamScanner ile tarandı M=500 kg Find the fpres in each 'member? (Draw free booly liograns)

A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a l = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. bf C L Lateral B bracing L 2 A

A rigid weightless be am SUPPorted at the point D by the pixed goint loo ded by the momend M is Support and points B and c holding the beam horisonta lly . a + the ver tical bs connected are For the data listed below determne ! Data > E = 2.1x10$ MPa gie ld stres 6y: 250 MPa , foctor oc Sofety Sr-1.S * Necessoy are a wetion A ? Of Cross - Other Data ; I 5 cM , a : U cm Ma SONM Safety · design method ond limit-state- mordatory. * Use both, Factorr design netled. Both net hats A.E 2A a

F= 45.59 N What is the loading in DB and CB in Tension or Compression?

The flexible beam is supported as shown in Figure 2 and is loaded with an axial force P. Assumesmall deformations.Use the analytical approach to determine the critical load.

The figure shows an idealized structure consisting of two rigid bars joined by an elastic connection with rotational stiffness ßR. Determine the critical load PCTfor the structure.

A rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness ßRat A. Determine the critical load Pcr for the structure.

A 10-ft rigid bar AB is supported with a vertical translational spring at A and a pin at B. The bar is subjected to a linearly varying distributed load with maximum intensity q0. Calculate the vertical deform at ion of the spring if the spring constant is 4 kips/in.

Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.