6-21 The 6-m pole shown in Fig. P6–21 supports a load P = 20 kN. The pole is supported by a ball-and-socket joint at A and by two cables, BC and BD. Determine the tension in each cable and the axial force in pole AB. %3D y P = 20 kN (along the -x axis) -6 m: 6 m 7 m 3 m C

6-21 The 6-m pole shown in Fig. P6–21 supports a load P = 20 kN. The pole is supported by a ball-and-socket joint at A and by two cables, BC and BD. Determine the tension in each cable and the axial force in pole AB. %3D y P = 20 kN (along the -x axis) -6 m: 6 m 7 m 3 m C

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.10P: Find support reactions at 4 and Band then use the method of joints to find all member forces. Let b...

See similar textbooks

Similar questions

Solve the preceding problem if the mass of the tailgate is MT— 11 kg and that of the crate is hic— 6S kg. Use dimensions H = 305 mm, L = 406 mm, dc= 460 mm, and dT= 350 mm. The cable cross-sectional area is At= 11.0 mm'. (a) Find the tensile Force T and normal stress T in each cable. (b) IF each cable elongates
A horizontal bracket ABC consists of two perpendicular arms AB of a length 0.75 m and BC of a length 0,5 m. The bracket has a solid, circular cross section with a diameter equal to 65 mm. The bracket is inserted in a friction less sleeve at A (which is slightly larger in diameter), so it is free to rotate about the r0 axis at A and is supported by a pin at C Moments are applied at point C M{=1.5 kN -m in the x direction and A/3 = L0 kN-m acts in the — z direction. Considering only the moments Mxand M2, calculate the maximum tensile stress t, the maximum compressive stress crc* and the maximum in-plane shear stress Tmax at point />, which is located at support A on the side of the bracket at mid-height
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.
The roof over a concourse at an airport is supported by the use of pretensioned cables. At a typical joint in the roof structure, a strut AB is compressed by the action of tensile forces Fin a cable that makes an angle = 75° with the strut (see figure and photo). The strut is a circular tube of steel (E = 30,000 ksi) with outer diameter d2= 2.5 in. and inner diameter d1= 2.0 in. The strut is 5.75 ft long and is assumed to be pin-connected at both ends. Using a factor of safety n = 2.5 with respect to the critical load, determine the allowable force F 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 stress
Determine the force in members BC, GA, and BG of the truss shown in the figure below. Let P = 175 kN. NOTE: If your answer is a compressive force then just put a negative sign. If your answer is a tensile force then just type the answer directly. (ALSO, DON'T FORGET THE UNITS) 2P 2P 30 60V60° B 60 60° 30 3P 4m 4m 4m Solve the force in member BC. Solve the force in member GA. Solve the force in member BG.
M
fIND THE MEMBER FORCES DC, HI, JI and tell wheather these three members are in tension or compression
PROBLEM 1 Find the support reactions and joint force of the construction, shown on the figure, if: q-9 kN/m, P=20 kN, M=25 kNm and L=1m. 61 K 3L M 34
F A 1 m- 2 m 6 m B 3 m 1.5 m The space truss above is supported by ball-and-socket joint at points A, B, and E. A single force F = {-200i +300OJ +50k} N is applied at point D. Take the following: • UDA = {-0.267i -0.802j -0.535k} • UDB = {+0.923i +0.231j -0.308k} • uDc = {-0.371i +0.557j -0.743k} Which of the following is closest to the force in member DB? -265 N (C) O -221 N (C) 281 N (T) 209 N (T)
please answer the problem
By what distance h does the cage shown in thefigure move downward when the weight W is placedinside it? (See the figure.)Consider only the effects of the stretching of thecable, which has axial rigidity EA =10,700 kN. Thepulley at A has a diameter dA = 300 mm and the pulleyat B has a diameter dB = 150 mm. Also, the distanceL1 = 4.6 m, the distance L2 = 10.5 m, and the weightW = 22 kN. Note: When calculating the length of the cable, include the parts of the cable that go around thepulleys at A and B.