Determine the largest weight of the picture frame that can be by the two ropes T as shown in the figure. The stress in the rope are not to exceed 1 MPa and the cross sectional area of the rope is 4.0 mm² . assume 0=30° ... T
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a,) 3.5 N
b.) 4 N
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- A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.Solve the preceding problem if F =90 mm, F = 42 kN, and t = 40°MPaA 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 elongatesTwo separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building. The sign is also supported by a pin support at O and a lateral restraint in the '-direction at D. (a) Find the tension in each cable. Neglect the mass of the cables. (b) Find the average stress in each cable if the area of each cable is Ae= 0.471 in2.An aluminum wire 3.0 m in length and 4.0 mm in diameter supports a 1000 N mass. Determine the stress in the wire.
- The homogeneous bar ABCD shown in figure below is supported by acable that runs from A to B around the smooth peg at E, a vertical cableat C, and a smooth inclined surface at D. Determine the mass of theheaviest bar that can be supported if the stress in each cable is limitedto 100 MPa. The area of the cable AB is 250 mm2 and that of the cableat C is 300 mm2.Determine the largest weight W in N that can be supported by two wires shown in the figure.The stress in either wire is not to exceed 261 Mpa. The cross-sectional areas of wires AB and ACare 258 mm^2 and 320mm^2 respectively.The ring, with dimensions shown, is placed over a flexible membrane which is pumped up with a pressure p. The thickness r,-r; is small compared to r; (a) Determine the axial force F in the ring in terms of p, w and r;. Hint: Consider a FBD by cutting the ring+membrane in two. (b) Determine the hoop stress in the ring. (c) Determine the hoop strain in the ring. The modulus of elasticity for the ring is E. (d) Relate the hoop strain to the change in the inner radius of the ring after this pressure is applied, and use this to get the change in the inner radius in terms of p, E, w, r, and ri- (PLEASE ANSWER ASAP AND CORRECTLY)!
- Three steel plates, each 16 mm thick and width of 300 mm are joined by two 20 mm rivets as shown. Assume the rivet hole diameter = 23 mm. A. If the load P= 50 KN, determine the tensile stress of the plates. B. If the load P= 50 KN, determine the largest bearing stress acting on the rivets. C. If the ultimate shear stress for the rivets is 180 MPa, what ultimate force Pu is required to cause the rivets to fail in shear? Neglect friction between the plates.In the 190.0 meter span cable and a horizontal load of 5.550 KN/m horizontal load, find the location of point C from point B = ____________m the lowest point in the cable system. Then Determine the maximum tension on the cable, Tmax = _____________KN and the diameter of the cable , Cable Diameter = _______________ if the maximum allowable stress is 1250 MPa for the cable. Find also the value of T1 = _______________KN given the specifics at the figure below which is the pulley at A, Then determine the volume of concrete Vconcrete = ___________m3 of the dead man’s load at point D of the figure if the unit weight of concrete is 24 KN/m3.The BC and DE bars in the figure are made of steel (Eç = 200GPA), each of which has a width of 12 mm and a thickness of 6 mm. According to this; a-) When a force of P = 2.4 kN is applied to the rigid element AF, the tails formed in BC and DE bars,