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- Can you Please Solve for Reaction @ Support A & B. Where EI constant.-7 Repeat Problem 2.3-5, but n include the weight of the bar. See Table I-I in Appendix I for the weight density of steel.The frame ABC consists of two members AB and BC that are rigidly connected at joint B, as shown in part a of the figure. The frame has pin supports at A and C. A concentrated load P acts at joint B, thereby placing member AB in direct compression. To assist in determining the buckling load for member AB, represent it as a pinned-end column, as shown in part b of the figure. At the top of the column, a rotational spring of stiffness ßRrepresents the restraining action of the horizontal beam BC on the column (note that the horizontal beam provides resistance to rotation of joint B when the column buckles). Also, consider only bending effects in the analysis (i.e., disregard the effects of axial deformations). (a) By solving the differential equation of the deflection curve, derive the buckling equation for this column: RLEI(kLcotkL1)k2L2=0 in which L is the length of the column and EI is its flexural rigidity. (b) For the particular case when member BC is identical to member AB, the rotational stiff- ness ßRequals 3EI/L (see Case 7, Table H-2,Appendix H). For this special case, determine the critical load Pcr.
- Find the controlling buckling load (kN) for the steel column shown in the figure. The column is pinned at top and bottom and is made up of two C 150 x 12,2 shapes that act together. Assume that E = 205 GPa and L = 6 m.A rectangular column with cross-sectional dimensions b and h is pin-supported at ends A and C (see figure). At mid-height, the column is restrained in the plane of the figure but is free to deflect perpendicularly to the plane of the figure. Determine the ratio h/b such that the critical load is the same for buckling in the two principal planes of the column.Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.
- The inclined beam represents a ladder with the Following applied loads: the weight (W) of the house painter and the distributed weight (u) of the ladder itself. Find support reactions at A and B: then plot axial force (N), shear (V), and moment (M) diagrams. Label all critical N, V, and M values and also the distance to points where any critical ordmates are zero. Plot N, V, and M diagrams normal to the inclined ladder. Repeat part (a) for the case of the ladder suspended from a pin at B and traveling on a roller support perpendicular to the floor at A.Two steel shafts (G = 77.2 GPa) are connected to a coupling disk B and to fixed supports at A and C. Shaft BC is solid, while shaft AB is hollow with an inner diameter of 25 mm. Take T = 1.1 kN·m. Calculate the reaction at support A and CGiven are the loadings of the beam in the figure. Assuming all bearings are frictionless. Beam AB is in equilibrium and it weighs 640 kN. a.) What is the weight W in kN? b.) What is the vertical reaction at A in KN?
- The steel rod is shown in Figure has a diameter of 10 mm. It is fixed to the wall at A, and before it is loaded, there is a gap of 0.2 mm between the wall at B and the rod. Determine the reactions on the rod if it is subjected to an axial force of P = 20 kN. Neglect the size of the collar at C. Take Est = 200 GPa.Using the method of sections, determine the forces inmembers BG, CI, and CD. Express your answers in terms of P (e.g.FA= 0.5P)3.1 Use the concepts of moment and force equilibrium, find the reactions atpoint A (FAx and FAy) and point E (FEy).3.2 Find FBG first. Cut through BC, BG, and GF, consider the Left-Hand Side(LHS) section as a whole, find FBG by considering the Free-Body Diagram(FBD), and equilibrium of forces in the y-direction.3.3 Now find FCI and FCD. Cut through CD, CI, and HI, consider the RHSsection as a whole, find FCI by considering the FBD, and equilibrium offorces in the y-direction. Then, find FCD by taking moment at point I, andconsider the concept of moment equilibrium.the member is subjected to a distributed load and a point force as shown in the figure. Determine the support reactions at A and B.