Consider the truss shown in the figure, built from three struts attached by three pins. The truss supports a downward forceof F = 1,420 N applied at the point B. Assume the mass of the truss is negligible, the pins are frictionless, and the supportsat A and C are also frictionless.(a) Assuming 8₁ncTA=10₁B0₂strut AB on joint A:strut AB on joint B:strut BC on joint B:strut BC on joint C:strut AC on joint A:strut AC on joint C:= 25.0° and ₂ = 49.00, what are nA and n? (Enter the magnitudes in N.)NNic(b) The force any strut applies on a pin must be directed along the length of the strut as a force of tension orcompression. What are the directions of the forces that the struts exert on the pins joining them?---Select------Select------Select------Select------Select------Select---Find the force of tension or of compression (in N) in each of the three struts.bar ABNbar BCNbar ACN

Consider the truss shown in the figure, built from three struts attached by three pins. The truss supports a downward force of F = 1,420 N applied at the point B. Assume the mass of the truss is negligible, the pins are frictionless, and the supports at A and C are also frictionless. nc TA = 10₁ (a) Assuming 8₁ = 25.0° and ₂ = 49.00, what are nA and ne? (Enter the magnitudes in N.) N B N strut AB on joint A: strut AB on joint B: strut BC on joint B: strut BC on joint C: strut AC on joint A: strut AC on joint C: 0₂ ic (b) The force any strut applies on a pin must be directed along the length of the strut as a force of tension or compression. What are the directions of the forces that the struts exert on the pins joining them? ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- Find the force of tension or of compression (in N) in each of the three struts. bar AB N bar BC N bar AC N

Consider the truss shown in the figure, built from three struts attached by three pins. The truss supports a downward force of F = 1,420 N applied at the point B. Assume the mass of the truss is negligible, the pins are frictionless, and the supports at A and C are also frictionless. nc TA = 10₁ (a) Assuming 8₁ = 25.0° and ₂ = 49.00, what are nA and ne? (Enter the magnitudes in N.) N B N strut AB on joint A: strut AB on joint B: strut BC on joint B: strut BC on joint C: strut AC on joint A: strut AC on joint C: 0₂ ic (b) The force any strut applies on a pin must be directed along the length of the strut as a force of tension or compression. What are the directions of the forces that the struts exert on the pins joining them? ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- Find the force of tension or of compression (in N) in each of the three struts. bar AB N bar BC N bar AC N

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.3.19P: The roof over a concourse at an airport is supported by the use of pretensioned cables. At a typical...

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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 bungee jumper having a mass of 55 kg leaps from a bridge, braking her fall with a long elastic shock cord having axial rigidity EA = 2.3 kN (see figure). If the jumpoff point is 60 m above the water, and if it is desired to maintain a clearance of 10 m between the jumper and the water, what length L of cord should be used?
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 stress
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
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.
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.
-11 A rubber cube R of a side L = 3 in. and cross- sectional area A = 9 in2 is compressed inside a steel cube S by a force F = 5 lb that applies uniformly distributed pressure to the rubber. Assume E 0.3ksi and,, = 0.45. (a) Calculate the lateral pressure between the rubber and steel (disregard friction between the rubber and the steel, and assume that the steel block is rigid when compared to the rubber). (b) Calculate the change in volume of the rubber.
A cylindrical brick chimney of height H weighs w = 825 lb/ft of height (see figure). The inner and outer diameters are d1= 3 ft and d2= 4 ft, respectively. The wind pressure against the side of the chimney is p = 10 lb/ft2 of projected area. Determine the maximum height H if there is to be no tension in the brickwork.
A steel post (E=30×106) having thickness t = 1/8 in. and height L = 72 in. support a stop sign (see figure), where s = 12.5 in. The height of the post L is measured from the base to the centroid of the sign. The stop sign is subjected to wind pressure p = 20 lb/ft2 normal to its surface. Assume that the post is fixed at its base. What is the resultant load on the sign? (Sec Appendix E, Case 25, for properties of an octagon, n =8.) What is the maximum bending stress in the post? Repeat part (b) if the circular cut-outs arc eliminated over the height of the post.
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