Question

In: Other

Determine the force in each member of the truss supporting a floor deck

Determine the force in each member of the truss supporting a floor deck as shown in Fig. P4.28. The deck is simply supported on floor beams which, in turn, are connected to the joints of the truss. Thus, the uniformly distributed loading on the deck is transmitted by the floor beams as concentrated loads to the top joints of the truss.

image.png

Solutions

Expert Solution

Loading on the deck is shown in the following figure.

The load on the floor beam at A is calculated as follows:

Similarly, the load on the floor beam at E is .

The load on the floor beam at B is calculated as follows:

Similarly, the load on the floor beam at C and D are and .

Draw the free body diagram of the truss.

Calculate the reaction at point A. Apply the moment at E from the free body diagram of the truss.

Apply the horizontal equilibrium condition for the free body diagram of the truss.

Calculate the reaction at point E. Apply the vertical equilibrium condition for the free body diagram of the truss.

Consider section 1-1.

Calculate the forces in the members.

Apply the moment at F for the above section1-1.

Apply the vertical equilibrium condition for the above section1-1.

Apply the horizontal equilibrium condition for the above section1-1.

Consider section 2-2.

Calculate the forces in the members.

Apply the moment at G for the above section 2-2.

Apply the vertical equilibrium condition for the above section 2-2.

Apply the horizontal equilibrium condition for the above section 2-2.

Consider section 3-3.

Calculate the forces in the members.

Apply the moment at H for the above section 3-3.

Apply the vertical equilibrium condition for the above section 3-3.

Apply the horizontal equilibrium condition for the above section 3-3.

Consider joint D.

Calculate the reaction at point A.

Apply the vertical equilibrium condition for the joint.

Applying horizontal equilibrium condition for the joint, we obtain

Consider joint A.

Calculate the force in the member AF. Apply the conditions of equilibrium along the x-axis.

Consider joint B.

Calculate the force in the member BG. Apply the conditions of equilibrium along the y-axis.

Consider joint C.

Calculate the force in the member CH. Apply the conditions of equilibrium along the y-axis.

Consider joint E.

Calculate the force in the member EI. Apply the conditions of equilibrium along the x-axis.


Related Solutions

Determine the force in members CD of the truss, and state if the member is in tension or compression.
Part ADetermine the force in members CD of the truss, and state if the member is in tension or compression. Take P = 1675 lb (Figure 1) Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative scalar for members in compressionPart B Determine the force in members HI of the truss, and state if the member is in tension or compression. Take P = 1675 lb Part C  Determine the force in members CJ...
The purpose of this program is to identify the forces of each member of the truss below
 C++ Program Assignment The purpose of this program is to identify the forces of each member of the truss below (FAB, FAD, FBC, FBD, FBE, FCE, FDE) and to state whether they are in tension or compression. Use the example we worked in class to determine the reaction forces (Ax, Ay, and Cy) and complete the analysis by the Method of Joints. When you have finished the program, you will upload the .cpp file to D2L in the Assessment Dropbox folder...
Determine the force developed in members FE, FC and BC of the truss and state if...
Determine the force developed in members FE, FC and BC of the truss and state if these members are in tension or compression. Given, Pin support at A and Roller support at D. Use Section Method.
Discuss the result of the design of fillet weld for a tie member of a truss...
Discuss the result of the design of fillet weld for a tie member of a truss consist of an angle section ISA 100 x 75 x 8 mm of Fe410 grade, is welded to an 8 mm gusset plate. Design a weld to transmit a load equal to the full strength of the member. Assume shop welding. If the gusset plates are connected by 2 angle section ISA 65 x 65 x 6 mm back to back to the same...
A pin-ended chord of a truss is treated as a member in a braced frame. Its...
A pin-ended chord of a truss is treated as a member in a braced frame. Its length is 12 ft. It must carry a tension dead load of 95 kips and live load of 180 kips along with a uniformly distributed transverse dead load of 1.2 kips/ft and live load of 2.3 kips/ft. Will a W8x67, A992 member be adequate if the transverse load is applied to put the bending about the strong axis? Determine by (a) LRFD and (b)...
Determine the direction of the force that will act on the charge in each of the...
Determine the direction of the force that will act on the charge in each of the following situations. 1) A negative charge moving out of the screen in a magnetic field that points downward. 2) A negative charge moving upward in an electric field that points out of the screen. 3) A positive charge moving upward in a magnetic field that points upward. 4) A negative charge moving to the left in a magnetic field that points out of the...
The maximum allowable tensile force in the members of the truss is (Ft) max = 5 kN
Problem 6.26 The maximum allowable tensile force in the members of the truss is (Ft) max = 5 kN, and the maximum allowable compressive force is (Fc)max = 3.4 kN. (Figure 1) Part A Determine the maximum magnitude P of the two loads that can be applied to the truss. Express your answer to three significant figures and include the appropriate units.
The maximum allowable tensile force in the members of the truss is (Ft)max = 5.6 kN
Problem 6.24 The maximum allowable tensile force in the members of the truss is (Ft)max = 5.6 kN, and the maximum allowable compressive force is (Fe)max = 3 kN. Take d= 2 m (Figure 1) Part A Determine the maximum magnitude of load P that can be applied to the truss Express your answer to three significant figures and include the appropriate units. 
A 13.0-lb block rests on the floor. (a) What force does the floor exert on the...
A 13.0-lb block rests on the floor. (a) What force does the floor exert on the block? magnitude   lb direction ---Select--- upward downward The floor does not exert force on the block. (b) If a rope is tied to the block and run vertically over a pulley, and the other end is attached to a free-hanging 10.5-lb weight, what is the force exerted by the floor on the 13.0-lb block? magnitude   lb direction ---Select--- upward downward The floor does not...
Since the floor is rough, it exerts both a normal force N1 and a frictional force...
Since the floor is rough, it exerts both a normal force N1 and a frictional force f1 on the ladder. However, since the wall is frictionless, it exerts only a normal force N2 on the ladder. The ladder has a length of L = 4.1 m, a weight of WL = 58.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90 kg is standing...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT