save for Force in Rod AB: 1). Eguilibrium Equation (Sum of forces) (sum of forces) 2). Geometry Equation (ie., what do you physically krow about the daformations)= 3). Compatability Equations (i.e, relake farces to deformations) 4). Solve system of equations to determine Force in FAg.
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- A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?-7 Repeat Problem 2.3-5, but n include the weight of the bar. See Table I-I in Appendix I for the weight density of steel.A square aluminum bar with pinned ends carries a load P = 25 kips acting at distance e = 2,0 in. from the center (sec figure). The bar has a length E = 54 in. and modulus of elasticity E = 10,600 ksi. If the stress in the bar is not to exceed 6 ksi, what is the minimum permissible width bminof the bar?
- : A hollow, pressurized sphere having a radius r = 4.8 in, and wall thickness t = 0.4 in. is lowered into a lake (see figure). The compressed air in the tank is at a pressure of 24 psi (gage pressure when the tank: is out of the water). At what depth D0will the wall of the tank be subjected to a compressive stress of 90 psi?The hollow drill pipe for an oil well (sec figure) is 6,2 in. in outer diameter and 0.75 in. in thickness. Just above the bit, the compressive force in the pipe (due to the weight of the pipe) is 62 kips and the torque (due to drilling) is 185 kip-in. Determine the maximum tensile, compressive, and shear stresses in the drill pipe.STRENGTH OF MATERIALS W/SOLUTION 1.) A penstock pipe 10m diameter carries water under a pressure head of 100m. If the wall thickness is 9mm, the tensile stress in the pipe wall is nearest to? A. 2725 B. 1090 C. 545 D. 110 E. NOTA
- Problem :Pressure vessel made of alloy steel with Yield Strength of 250 MPa, Pressure acting on Pressure Vessel = 10 Atmosphere. Longitudinal Stress (σL) = 200 MPa. Hoop Stress (σθ) = 150 MPa. Radial Stress (σR) = -50. Question :a) How thick is the pressure vessel if the Inner Diameter is D = 2 Meters? b) Check whether the pressure vessel is safe or not? c) Calculate the maximum shear stress with Mohr's circle? d) Check whether the pressure vessel is safe or not with Tresca yield criterion and compare it with von Mises yield criterion?Find the amount of depression in mm at the midpoint of the bar AB.Mo = 1kNm, L = 1m, E = 200 GPa, I=1x106 mm4If the shear modulus of a material is 120GPa & the bulk modulus is 140 GPa, then Young’s modulus is------ a. 820 GPa b. 280 Pa c. 280 GPa d. 820 Pa
- A trimetallic bar is uniformly compressedby an axial force P = 9 kips applied through a rigidend plate (see figure). The bar consists of a circularsteel core surrounded by brass and copper tubes. Thesteel core has a diameter of 1.25 in., the brass tube hasan outer diameter of 1.75 in., and the copper tube hasan outer diameter of 2.25 in. The corresponding moduliof elasticity are Es = 30,000 ksi, Eb =16,000 ksi,and Ec =18,000 ksi.Calculate the compressive stresses σs , σb, and σcin the steel, brass, and copper, respectively, due tothe force P.A solid circular bar of steel (G = 78 GPa)transmits a torque T = 360 N ? m. The allowablestresses in tension, compression, and shear are90 MPa, 70 MPa, and 40 MPa, respectively. Also,the allowable tensile strain is 220 x10 -6 .(a) Determine the minimum required diameter d ofthe bar.(b) If the bar diameter d = 40 mm, what is Tmax?A solid copper bar of circular cross sectionhas length L =1.25 m and shear modulus of elasticityG = 45 GPa. The bar is designed to carry a250 N ? m torque acting at the ends. If the allowableshear stress is 30 MPa and the allowable angle oftwist between the ends is 2.5°, what is the minimumrequired diameter?