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Please help me with this one. You can follow the solution in the second image.
Topic: Statistically indeterminate members
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- A six-pack is shaken so that the pressurein each can is p = 20 psi. A board is placed onthe six pack and a student(s) weighing Wstands on the board so his weight is evenlydistributed to the six cans. The aluminumproperties are E = 10,000 ksi, Sy = 35 ksi, andν = 0.33. Each can has an average radius ofR = 1.25 in., thickness t = 0.01 in., and lengthL = 4.50 in.(a) Determine the critical weight of thestudent, Wcr , so that a stress element on thesurface of the can is in a state of uniaxial stress.Assume that no support is provided by thecontained liquid and the cans do not fail bybuckling (being crushed). (b) Determine thestrain in the longitudinal direction of the candue to pressure p = 20 psi and force Wcr.(c) Determine the strain in the hoop directionof the can due to pressure p = 20 psi and forceWcrThe brass tube AB (E = 105 GPa) has a cross-sectional areaof 138 mm² and is fitted with a plug at A. The tube is attached atB to a rigid plate that is itself attached at C to the bottom of analuminum cylinder (E = 70 GPa) with a cross-sectional areaof 250 mm². The cylinder is then hung from a support at D. In orderto close the cylinder, the plug must move down through 1.2 mm. Determine the force P that must be applied to the cylinder.A crane boom of mass 450 leg with its center of mass at C is stabilized bytwo cables AQ and BQ (Ae = 304 mm2 for each cable) as shown in thefigure. A load P=20 KN is supported at point D. The crane boom lies inthe y - z plane.ho(a) Find the tension forces in each cable: TAQand TBQ(kN}. Neglect themass of the cables, but include the mass of the boom in addition to load P.(b) Find the average stress (6) in each cable.
- The rigid bar AB with a length of 5m, is attached to two vertical rods and ishorizontal before the uniformly varying load of zero intensity at point A and 10kN/mat point B is applied. The rod at A is steel with L=3m, A=300 mm2 and E=200GPa. Therod in B is aluminum with L=4m, A=500mm2 and E = 70GPa. Determine the verticaldisplacement of the bar at a point where the resultant of the load is acting.The tube is 0.25 in. thick, is made of a 2014-T6 aluminum alloy, and is ixed at its bottom and pinned at its top. Determine the largest axial load that it can support.Two steel tubes are joined at B byfour pins (dp = 11 mm), as shownin the cross-section a-a in thefigure. The outer diameters of thetubes are dAB = 40 mm and dBC = 28mm. The wall thicknesses are tAB =6 mm and tBC = 7 mm. The yieldstress in tension for the steel is y= 200 MPa and the ultimate stressin tension is U = 340 MPa. Thecorresponding ultimate value inshear of the pin is 140 MPa.Assume that the factors of safetywith respect to the yield andultimate stress are 4 and 5,respectively.a.) Calculate the allowable tensileforce Pallow considering tension inthe tubes.b.) Recompute Pallow for shear inthe pins.
- . R e« o - o, . gxample 16.1. A solid round bar 60 mm in diameter and 2.5 m long is used as a strut. One of the strut is fixed, while its other end is hinged. Find the safe compressive load for this strut, ing Euler’s formula. Assume E = 200 GN/m? and factor of safety = 3. s T eb.The strong room of a school where an exam question papers are kept is made up ofrectangular metal bars.One bar has a width of 10 mmand would beable to withstand a maximum compressive stress of 20 MPa. i.Prove that,the minimum breadth of thisbar can withstand a burdened with a force of 3 KN. ii.If the bar in question is 2 mlong and decreases in length by 0.25 mmwhen aforce isapplied, then show thata percentage strain can be obtained. iii.What would be its Modulus of Elasticity, E?Prior to the application of the P = 120 kip load, the gap between C and the rigid wall at D was as depicted as below. Determine the support reaction at D (in kip) after force P has been applied. The assembly is made of solid cylinders: AB is Stainless 304 steel alloy, and BC is 6061-T6 aluminum alloy.
- A 20-ft-long column is made of aluminum alloy 2014-T6. If it is pinned at its top and bottom, and a compressive load P is applied at point A, determine the maximum allowable magnitude of P using the equations of Sec. 13.6 and the interaction formula with (sb)allow = 20 ksi.2. A steel I section column is 3.5m long with one end hinged and theother fixed.(a) Determine Euler’s critical load for the column. (b) If the section is strengthened by a cover plate (300mm x 8mm) ateach flange of the I Section, determine the new Euler’s bucklingload. For (a), Area = 7485mm2, Ixx = 1.2545x108mm4, Iyy = 2.1936x107mm4,E= 2x105 N/mm2The tube is 0.5 in. thick, is made of aluminum alloy 2014-T6, and is ixed connected at its ends. Determine the largest axial load that it can support.