Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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- A compound tube consists of a steel tube 150 mm internal diameter and 170 mm external diameter and a brass tube of 170 mm internal diameter and 190 mm external diameter. The two tubes are of the same length. The compound tube carries an axial load of 1000 kN. Find the stresses and the load carried by each tube and the amount it shortens. Length of each tube is 140 mm. Take Ĕ for steel as 2 x 105 N/mm² and for brass as 1 x 105 N/mm².arrow_forwardA hollow, circular, cast-iron pipe (E, = 12,000 ksi) supports a brass rod (E, = 14,000 ksi) and weight W = 1.5 kips, as shown. The outside diameter of the pipe is d, = 6 in. (Assume the weight density of brass is 520 Ib/ft3.) %3D Nut and washer. (d, = in.) 3 %3D 4 Steel cap (t, = 1 in.) Cast iron pipe (d. = 6 in., t.) L,= 3.5 ft L. =4 ft Brass rod (4,= in.) W h (a) If the allowable compressive stress in the pipe is 15,000 psi and the allowable shortening of the pipe is 0.06 in., what is the minimum required wall thickness t. min (in inches)? (Include the weights of the rod and steel cap in your calculations.) 0.005 X in. (b) What is the elongation of the brass rod 8, (in inches) due to both load W and its own weight? (Use the deformation sign convention.) 0.0229 in. (c) What is the minimum required clearance h (in inches)? 0.0829 in.arrow_forwardThe pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 11 mm and an elastic modulus of E = 78 GPa. Thesteel rod has a diameter of 16 mm and an elastic modulus of E = 200 GPa. Assume a = 4.1 m, b = 1.2 m, and c= 1.2 m. What is the magnitude of load P that is necessary to displace point A 12 mm to the left? (1) P (3) B (2) Answer: P = 117.7 kNarrow_forward
- 6 - A circular shaft is composed of a steel core and a brass covering, as shown in the figure. Under the applied torque, what is the maximum shear stress in each material? The composite shaft is attached to a wall at A. Im B OPT. →→→→T= 5 KN•m Steel core r=15mm G=78 GPa bross cylinder ro=20mm (outer diameter) G=39 GPaarrow_forward1) The head H is connected to the cylinder of a compressor using six steel bolts. If the clamping force in each bolt is 4000N, determine the normal strain in the bolts. Each bolt has a diameter of 5 mm. If o₂ = 280 MPa and Est = 210GPa, what is the strain in each bolt when the nut is unscrewed so that the clamping force is released? a) 0.970 b) 0.203 c) 0.970(10-³) d) Insufficient information to determine because the stress is beyond yield point H &arrow_forward135 mm 85 mm σ, = -58 MPa E = 105 GPa D = 0.33 Beer & Johnston & DeWolf & Mazurek 2.86 (a) For the axial loading shown, determine the change in height and the change in volume of the brass cylinder shown. (b) Solve part a, assuming that the loading is hydrostatic with Ox= Oy = O₂ = -70 MPaarrow_forward
- A rigid bar ABCD is supported by two bars as shown in the figure. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in rod (1) is -1350 µm/m. Determine the normal strain in rod (2) if there is a 1-mm gap in the connection at pin C before the load is applied. A 240 mm B (1) O 1281 um/m O 1877 µm/m O 1141 µm/m O 1358 µm/m O 999 µm/m 360 mm (2) Rigid bar 900 mm C 140 mm, 1,500 mmarrow_forwardA rod is composed of 3 segments shown in the figure and carries the axial loads, P1=120KN and P2=50KN. If the walls are rigid, determine the stress of bronze, aluminum, and steel in MPa.arrow_forwardQ3/ compare shape factor (, for stiffness-limited design in bending of a square box section of outer edge-length h 100mm and wall thickness t = 3mm. Is this shape more efficient than one made of the same material in the form of a tube of diameter 2r 100mm and wall thickness t= 3.82 mm (giving it the same mass per unit length, m/L)? Treat both as thin-walled shapes. Take the solid square section as standard. I= nr3t (for the tube), I- h*t(1 + 3) I= bh/12 (for square box section), (for standard solid square section) (for square box section), (for the tube) A=D4 th A=2n rt harrow_forward
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