Which of the following is correct boundary condition for a beam supported by hinge at both ends? O Displacement at both ends is non-zero O Displacement at one of the end is non-zero O Displacement at both ends is zero O Can't say O Displacement at both ends is variable

Rigid bar ABC is supported by two aluminum alloy (E = 10,000 ksi) rods as shown below. The horizontal distance between rods (1) and (2) is a = 120 in. Rod (1) has a length of L1 = 87 in. and a cross-sectional area of A1 = 0.65 in.2.  Rod (2) has a length of L2 = 84 in. and a cross-sectional area of A2 = 1.15 in.2. Rigid bar ABC is to remain horizontal under a load of P = 25 kips. Determine the distance x (in inches rounded to the nearest tenths) from joint A to the location of load P so that bar ABC remains horizontal.

SOLVE STEP BY STEP IN DIGITAL FORMAT Determine by the method of nodes, the forces at which all the members of the following trusses work. Place the results of each force in the members of the truss drawing for qualification. 1200 N 300 N A B oolco 0.00 3 m E 4 m 4 m

On the study roof truss shown in the figure, determine the force in element F G and ineach of the elements located to the right of F G. Also, indicate in your answer if the elements are intension or in compression.

Elementary beam theory predicts that the axial bending stress ox in a prismatic beam is given by: ox = (M.I,M,L)y+(M,I.-M.I.) (1,1₂-13/2) where My and M₂ are bending moments applied to a cross-section, and where ly, lz and lyz are second moments of area in the usual notation (Oxyz is a Cartesian coordinate system in which the x axis corresponds to the centroidal axis of the beam). (iii) A Z--section beam has the cross-section shown overleaf (see Figure QB2). The second moments of area of the section about the y and z axes are given as;; ly = 1.12x106mm² and I₂ = 2.87x106 mm4. Show that lyz = 1.35x106 mm² (use the parallel axis theorem). 100 60 10 y -10 10 60 Figure QB2 N (iv) Bending moments Mz = 2.0 kNm and My = 0 kNm act on a cross- -section of the beam of part (iii). Obtain an expression for the bending stress and sketch the orientation of the neutral axis with reference to the y and z axes. What is the maximum tensile value of the axial bending stress and where does it occur?

The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 470 mm tw = 14 mm d = 120 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3330 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is IZ = 428040000 mm4. If the beam will be subjected to a shear force of V = 225 kN, determine the shear stress at point H, located at yH = 110 mm above the z centroidal axis.

COMPUTE FOR THE CENTROID: INNER RADII= 1 ; OUTER RADII= 2

Please answer this question by showing every step of the process and do highligh the answer at the end for me please. Please solve it in a way so that I can understand every step you did.  Thanks in advnace.!

600 lb 600 lb Do 600 lb 300 lb B 300 lb 6 ft F H ΑΠ C E G 6 ft 8 ft -8 ft 8 ft 8 ft 8 ft→ Analyze the truss, find forces in all elements, use any methods