The homogeneous beam AB weighs 400 lb. For each support condition shown in (a) through (d), draw the FBD of the beam and determine the number of unknowns.

A proper cantilever ABCD is loaded as shown in figure. If it is of uniform cross-section, the collapse load of the beam will be nearly W/8 W Hagal B Mp Mp L/2 L/2 L/3 →→ D

A two member truss ABC is shown in the figure. The force (in kN) transmitted in member AB is - A 11 0.5 m 17 1pc C 1 m B 10 kN

Determine the maximum tensile bending stresses in the beam shown. LetP= %3D 19 Note Answer in whole number I = 100 × 106 mm4 P kN/m 2. NA 130 mm 6 m B = 4P 200 mm 2P kN 6-X= Am 4P : - GP

Derive the stiffness matrix and Derive the kincma tic eyutn

A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional area of A = 3.7 in.². Assume a = 4.75 ft and b = 5.70 ft. If the normal stress in each member must not exceed 60 ksi, determine the maximum load Pmax that may be supported by the structure. a D Answer: Pmax = i b B E b kips P

a) Determine the force P  (in kN) required to stretch the Aluminum bar by  3mm. B)  Determine the final width and thickness of the Aluminum bar. (1)

Rigid bar ABCD is loaded and supported as shown. Steel [E = 29900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.81 in.2 and bar (2) has a cross-sectional area of 0.46 in.2. After load P is applied, the strain in bar (1) is found to be 770 με. Assume L1=55 in., L2=78 in., a=31 in., b=31 in., and c=36 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vD of point D on the rigid bar. (c) the load P.

choose the correct answer

1. For the roof truss shown in Figure 3, determine the force present in ele- ment GH and in each element located to the right of GH. Also, establish whether the elements are in tension or compression. (I suggest you start from node M applying the method of nodes until you get to element GH) -2.4 m--2.4 m-1.2 m-2.4 m--2.4 m--1.2 m- 1.5 kN 1.5 kN 1.5 kN 1.5 kN D VI 1.5 kN 1 kN В 2.5 m E Ук 1 kN 1m H F Figura 3. Cercha 3. 2.Determine the force in the elements ED, EH, and GH of the reinforcement (see Figure 4), and establish whether the elements are in tension or compres- sion. (Use the method of sections). Figura 4. Cercha 4. 50 kN 40 kN -2 m -2 m- -2 m- 1.5 m -30 kN 1.5 m B 40 kN 1.5 m