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- 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.The figure shows the FBD of a portion of the space truss shown in Fig. P5.25. Use this FBD to find the force in member BD.A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the figure by a continuous cable CAD. The cable is pinned at C and D and runs over a pulley at A. (a) Find reactions at supports A and B. (b) Find the force in the cable.
- A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stressA space truss has three-dimensional pin supports at joints 0, B, and C, Load P is applied at joint A and acts toward point Q. Coordinates of all joints arc given in feet (see figure). (a) Find reaction force components B x, B z, and Oz (b) Find the axial force in truss member AC.A crane boom of mass 450 leg with its center of mass at C is stabilized by two cables AQ and BQ (Ae= 304 mm2 for each cable) as shown in the figure. A load P = 20 KN is supported at point D. The crane boom lies in the y-z plane. (a) Find the tension forces in each cable: TAQand TBQ(kN}. Neglect the mass of the cables, but include the mass of the boom in addition to load P. (b) Find the average stress (s) in each cable.
- A space truss is restrained at joints O, A. B. and C, as shown in the figure. Load P is applied at joint A and load IP acts downward at joint C. (a) Find reaction force components Ax, By, and B. in terms of load variable P. (b) Find the axial force in truss member AB in terms of load variable P.A truss ABC supports a load W at joint B, as shown in the figure. The length L, of member Aß is fixed, but the length of strut BC varies as the angle is changed. Strut BC has a solid circular cross section. Joint B is restrained against displacement perpendicular to the plane of the truss. Assuming that collapse occurs by Etiler buckling of the strut determine the angle for minimum weight of the strut.Pin jointed frame is subjected to the external loads of F6 = 2733 N at D and F7= 1938 N at C as shown in Figure T2. Take the length of frames indicated as: L6 = 2964 mm and L7= 6164 mm.(i). Draw the free body diagram of the given Frame/Truss;(ii). Estimate the support reactions;(iii). Determine the forces in all members indicating the nature of forces; (iv). Verify the forces in members AD and AE by another suitable method.
- L₁ B 7 B D -‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ T Figure 1. Boom of a crane supporting load T. The boom of the crane ABC shown in Figure 1 is pin supported at A. The hydraulic support BD can be assumed as a two-force member. It carries load only along its axis. Calculate the reaction forces at the pin support and the reaction force exerted by BD on the boom. The data required to solve the problem are: L₁ 4.5 m, L₂ = 4 m, a = 60°, B = 50° and T = 34 kN. =1. Determine the force in each member of the truss. (Ans: force in member BE=5.2kN, C) E 30° Problem 4-9 John Wiley & Sons, Inc. All rights reserved. 30° B D 30° C 3 kNPROBLEM: Determine the forces in each member using any methoddiscussed in your theory of structures/mechanics. Using Software is notallowed. Show complete solution and tabulate your answers indicatingwhether it is compression or tension. Use Pn = 205 kN, Po = Zero. a) From the Problem and the image , Design one tension member, use either a double angle of a wt section. Check its adequacy using 1 line of bolts (three bolts in a line spaced at 75mm on centers) Assume a bolt diameter from 16-22mm. Use A 36 for all steel. Neglect block shear.