A 100-lb uniform beam 16 ft long lies against a cor- Determine the maximum force ner as shown in Fig. P for which the beam will be in equilibrium if the coeffi- cient of friction 4s is 0.75 at the bottom surface and 0.40 at the corner sur- face. 16 ft 4 ft 8 ft
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- Ancient pyramid builders are balancinga uniform rectangular stoneslab of weight w, tipped at anangle u above the horizontal, usinga rope (Fig.). The rope isheld by five workers who share theforce equally. (a) If u = 20.0°, whatforce does each worker exert on therope? (b) As u increases, does eachworker have to exert more or lessforce than in part (a), assuming theydo not change the angle of the rope? Why? (c) At what angle do theworkers need to exert no force to balance the slab? What happens if uexceeds this value?A dam is triangular in cross section with the upstream face vertical. Water is flushed with the top. The dam is 9m high and 7m wide at the base and weighs 2.6. tons per cubic meter. The coefficient of friction between the base and the foundation is 0.8. Determine the a. factor of safety against sliding b. factor of safety against overturning pls reply thanksFor the dam shown, determine the factor of safety against sliding and overturning. Use unit weight of concrete = 24 kN/m3 and coefficient of friction = 0.80. Show a complete solution
- A uniform beam that 10-m long is being supported by two men, one man at each end. The weight of the beam. Is 100-N. If the first man supporting at the right side exert twice as much as the second man on the left, where must a 50-N motor be placed (measured from the first man) on top of the beam? Show complete solution.A mass of 100 ?? is applied on the 50 ??uniform beam at point ? as shown. If thepulley at ? is frictionless, determine thetension in the cable and the reaction forces atpin ?.A 14m bar of negligible weight rest in a horizontal position on the smooth planes as shown. Compute the distance x at which load T = 250 kN should be placed from point B to keep the bar horizontal.
- A simple beam having a span of 6m has a weight of 20 kN/m. It carries a concentrated load of 20kN at the left end and 40 kN at 2m from the right end of the beam. If it is supported at 2m from the left end and at the right end, compute the reaction at the right end of the beam. Need answer asap. PleaseDetermine the force, F, needed to prevent the beam (m = 1110 kg) as seen in the figure below, from swinging down under the effect of its own weight.A uniform ladder is L=5.0m long and weighs 400.0 N. The ladder rests against a slippery vertical wall, as shown. The inclination angle between the ladder and the rough floor is β=53°.Find the normal forces from the floor and from the wall on the ladder and the coefficient of static friction μs at theinterface of the ladder with the floor thatprevents the ladder from slipping
- PROBLEM: To prevent a box from sliding down an inclined plane, student A pushes on the box in the direction parallel to the incline, just hard enough to hold the box stationary. In an identical situation, student B pushes on the box horizontally. If the weight of the box w= 20.0 N, the angle made by the incline with the horizontal θ=25o, and the coefficient of static friction µs=0.16, who has the easier job?A 4.8 m-long from fixed point, 0.5 m wide and ssumed a thickness of 30 mm troughout a springboard made of high strengh S-2 glassfiber material which weighs 3.6-kN/m. If a diver impacts 30-kN at the free-end of the board when about to dive, calculate: i. the reaction at the fixed-end of the cantilever and bending moment diagram. ii. the maximum bending moment in the beam. if the material Young's Modulus of elasticity is 93.8 GPa find: iii the maximum slope of the beam. iv. the maximum deflection in the beam. v. the maximum strength in the material(a) The free body diagram of the rudder. (b) If the maximum permissible load that the steel operational cable can handle is 3kN, determine whether it can handle the load of the rudder or not. (c) Determine the resultant load on the fixed pivot (A) and the angle at which it acts. (d) If the thickness of the rudder is included, describe which method you would use to find the centre of gravity? How would this value differ from the calculation using a lamina modelling assumption?