D F 4m E 3m 3m he pin-jointed frame work in the figure If a vertical concentrated load of 800KN (downward) and orizontal force of 1200KN (to the right) are applied at Point C. Determine the vertical reaction in kN at the hinge (point B). b. Determine the horizontal reaction in kN at the hinge (point B). С. Determine the vertical reaction in kN at the roller (point A). d. Determine forces in member AB. (in kN) and identify if it is tension (T) or compression (C) e. Determine forces in member BD. (in kN) and identify if it is tension (T) or compression (C) Determine forces in member DF. (in kN) and identify if it is tension (T) or compression (C) g. Determine forces in member FE. (in kN) and identify if it is tension (T) or compression (C)

A plane Frame is restrained at joints A and D, as shown in the figure. Members AB and BCD are pin connected at B. A triangularly distributed lateral load with peak intensity of SO N/m acts on CD. An inclined concentrated force of 200 N acts at the mid-span of BC. (a) Find reactions at supports A and D. (b) Find resultant forces in the pins at B and C.

Find support reactions at 4 and Band then use the method of joints to find all member forces. Let b = 3 m and P = 80 kN.

Pipe 2 has been inserted snugly into Pipe I. but the holes Tor a connecting pin do not line up; there is a gap s. The user decides to apply either force P:lo Pipe I or force P-, to Pipe 2, whichever is smaller. Determine the following using the numerical properties in the box. (a) If only P{is applied, find Pt{tips} required to close gap s; if a pin is then inserted and Ptremoved, what are reaction forces RAand RBfor this load case? (b) If only P2is applied, find P2{kips) required to close gap a; if a pin is inserted and P2removed, what are reaction forces R^ and RBfor this load case? (c) What is the maximum shear stress in the pipes, for the loads in parts (a) and (b)? (d) If a temperature increase IT is to be applied to the entire structure to close gaps{instead of applying forces Ptand P2), find the AT required to close the gap. If a pin is inserted after the gaphas closed, what are reaction forces .''.', and RBfor this case? (e) Finally, if the structure (with pin inserted) then cools to the original ambient temperature, what are reaction forces Rtand P

An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with rotational stiffness ßRIat C. There is a roller support at B and an elastic support at D with translationa1 spring stiffness ß and rotational stiffness ßR2. Find the critical buckling loads for each of the two buckling modes of the column. Assume that L = 3 m, ß = 9 kN/m, and ßR]= ßR1= ßL2. Sketch the buckled mode shapes.

A plane frame is constructed by using a pin connection between segments ABC and CDE. The frame has pin supports at A and E and joint loads at B and D (see figure). (a) Find reactions at supports A and E. (b) Find the resultant force in the pin at C.

A plane frame has a pin support at A and roller supports at C and E (see figure). Frame segments A BD and CDEF are joined just left of joint 1) by a pin connection. (a) Find reactions at supports A. C. and E. (b) Find the resultant force in the pin just left of D.

Consider the plane truss with a pin support at joint 3 and a crtica1 roller support at joint 5 (see figure). (a) Find reactions at support joints 3 and 5. (b) Find axial forces in truss members 11 and 13.

A plane truss has a pin support at F and a roller support at D (see figure). (a) Find reactions at both supports (b) Find the axial force in truss member FE.

An elliptical exerciser machine (see figure part a) is composed of front and back rails. A simplified plane-frame model of the back rail is shown in figure part b. Analyze the plane-frame model to find reaction forces at supports A, B. and C for the position and applied loads given in figure part b. Note that there are axial and moment releases, at the base of member 2 so that member 2 can lengthen and shorten as the roller support at B moves along the 30° incline. (These releases indicate that the internal axial force N and moment M must be zero at this location