. Bronze pipe (1) has an elastic modulus of E1 16,000 ksi, a cross-sectional area of A1 2.68 in m alloy pipe (2) has an elastic modulus of E2 = 10,000 ksi, a cross-sectional area of A2 = 1.08 in. nserted in the flanges and tightened so that the gap at B is closed, determine: produced in each of the members. flange B with respect to support A. %3D

. Bronze pipe (1) has an elastic modulus of E1 16,000 ksi, a cross-sectional area of A1 2.68 in m alloy pipe (2) has an elastic modulus of E2 = 10,000 ksi, a cross-sectional area of A2 = 1.08 in. nserted in the flanges and tightened so that the gap at B is closed, determine: produced in each of the members. flange B with respect to support A. %3D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A bronze pipe (1) is to be connected to an aluminum alloy pipe (2) at flange B. When put in place, however, a gap of A = 0.25 in. exists between the two pipes. Bronze pipe (1) has an elastic modulus of E, = 16,000 ksi, a cross-sectional area of Ay = 2.99 in.7, and a length of L1 = 6.6 ft. Aluminum alloy pipe (2) has an elastic modulus of E, = 10,000 ksi, a cross-sectional area of A, = 1.00 in. 2, and a length of L2 = 10.6 ft. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses produced in each of the members. (b) the final position of flange B with respect to support A.
The pin-connected structure consists of a rigid beam ABCD and two supporting bars. Bar (1) is an aluminum alloy [E = 60 GPa] with a cross-sectional area of A1 = 870 mm?. Bar (2) is a bronze alloy [E = 92 GPa] with a cross-sectional area of Ay = 520 mm?. Assume L$=2.6 m, La=2.9 m, a=0.7 m, b= 1.3 m, and c= 1.1 m. All bars are unstressed before the load P is applied; however, there is a 3.9-mm clearance in the pin connection at A. If a load of P= 58 kN is applied at B, determine: (a) the normal stresses 01, 02, in both bars (1) and (2). (b) the normal strains € , E2, in bars (1) and (2). (c) determine the downward deflection vA of point A on the rigid bar.
A compressive load P is transmitted througha rigid plate to three magnesium-alloy bars that areidentical except that initially the middle bar is slightlyshorter than the other bars (see figure). The dimensionsand properties of the assembly are as follows:length L = 1.0 m, cross-sectional area of each barA = 3000mm2, modulus of elasticity E = 45 GPa,and the gap s = 1.0 mm.(a) Calculate the load P1 required to close the gap.(b) Calculate the downward displacement d of therigid plate when P = 400 kN.(c) Calculate the total strain energy U of the threebars when P = 400 kN.(d) Explain why the strain energy U is not equal toPδ / 2. Hint: Draw a load-displacement diagram.
An aluminum alloy [E = 10,000 ksi; Oy = 40 ksi] pipe (1) is connected to a bronze [E = 16,000 ksi; ay = 45 ksi] pipe at flange B. The pipes are attached to rigid supports at A and C. Pipe (1) has an outside diameter of 2.375 in., a wall thickness of 0.15 in., and a length of L₁ = 8 ft. Pipe (2) has an outside diameter of 4.95 in., a wall thickness of 0.16 in., and a length of L2 = 14 ft. If a minimum factor of safety of 1.4 is required for each pipe, determine: (a) the maximum load P that may be applied at flange B. (b) the deflection of flange B at the load determined in part (a). Deflection to the right is positive. (2) (1) A L2 Answer: (a) P = i (b) UB= i Submit Answer P4 LI B kips in. of 3 used
An aluminum alloy [E = 10,000 ksi; Oy = 40 ksi] pipe (1) is connected to a bronze [E = 16,000 ksi; Oy= 45 ksi] pipe at flange B. The pipes are attached to rigid supports at A and C. Pipe (1) has an outside diameter of 2.600 in., a wall thickness of 0.21 in., and a length of L₁ = 9 ft. Pipe (2) has an outside diameter of 4.35 in., a wall thickness of 0.15 in., and a length of L₂ = 15 ft. If a minimum factor of safety of 1.5 is required for each pipe, determine: (a) the maximum load P that may be applied at flange B. (b) the deflection of flange B at the load determined in part (a). Deflection to the right is positive. A Answer: (a) P= (b) UB = i i (1) P L₁ B kips in. L2 C
An aluminum alloy [E = 10,000 ksi; Oy= 40 ksi] pipe (1) is connected to a bronze [E = 16,000 ksi; Oy = 45 ksi] pipe at flange B. The pipes are attached to rigid supports at A and C. Pipe (1) has an outside diameter of 2.125 in., a wall thickness of 0.15 in., and a length of L₁ = 10 ft. Pipe (2) has an outside diameter of 4.25 in., a wall thickness of 0.24 in., and a length of L₂ = 17 ft. If a minimum factor of safety of 1.8 is required for each pipe, determine: (a) the maximum load P that may be applied at flange B. (b) the deflection of flange B at the load determined in part (a). Deflection to the right is positive. Answer: (a) P = i (b) UB = i (1) PE L₁ B kips in. (2) L2 C
The solid rod has a diameter of 20mm. Find the following: Angle of twist at C with respect to A (in radians) Angle of twist at B with respect to A (in radians) Maximum shear stress at A (in MPa) (Shear stress at support, at a point 7mm from center. (in MPa) A-36 steel with the following properties: Modulus of Elasticity, E = 29x10^3 ksi or 200 GPa Shear Modulus/Modulus of Rigidity, G = 11.5x10^3 ksi or 79.3 GPa Poisson's Ratio, nu = 0.260 Temperature Coefficient for thermal expansion, a = 6.6x10^-6/°F or 11.7x10^-6/°C
A bronze pipe (1) is to be connected to an aluminum alloy pipe (2) at flange B. When put in place, however, a gap of A = 0.40 in. exists between the two pipes. Bronze pipe (1) has an elastic modulus of E1 = 16,000 ksi, a cros5-sectional area of A1 = 2.43 in.?, and a length of Lq = 6.4 ft. Aluminum alloy pipe (2) has an elastic modulus of E2 = 10,000 ksi, a cro55-sectional area of A2 = 1.26 in.?, and a length of L2 = 94 ft. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses produced in each of the members. (b) the final position of flange B with respect to supportA. L1 L2 В (2) (1) Answer: (a) 01 = ksi 02 = ksi (b) ÕBA = in.
A bronze pipe (1) is to be connected to an aluminum alloy pipe (2) at flange B. When put in place, however, a gap of A = 0.35 in. exists between the two pipes. Bronze pipe (1) has an elastic modulus of E1 = 16,000 ksi, a cross-sectional area of A1 = 2.66 in.?, and a length of L1 = 6.7 ft. Aluminum alloy pipe (2) has an elastic modulus of E2 = 10,000 ksi, a cross-sectional area of A2 = 1.37 in.2, and a length of L2 = 10.2 ft. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses produced in each of the members. (b) the final position of flange B with respect to support A. L2 В (1) Answer: (a) 01 = ksi 02 = ksi (b) ÕB/A = in.
The rubber band given below is subjected to the following tensile loading. Calculate the minimum thickness of the rubber (tr) and the minimum steel pin diameter (Dpin) so that the structure does not fail. Consider: Allowable tensile strength of the rubber= 20MPa Allowable shear strength of the steel = 200MPa Reflection: 1) How would you solve this problem if a Factor of Safety was given? 2) Are there any other dimensions worth calculating for the rubber belt?
An aluminum alloy [E = 10,000 ksi; σY = 40 ksi] pipe (1) is connected to a bronze [E = 16,000 ksi; σY = 45 ksi] pipe at flange B. The pipes are attached to rigid supports at A and C. Pipe (1) has an outside diameter of 2.150 in., a wall thickness of 0.16 in., and a length of L1 = 6 ft. Pipe (2) has an outside diameter of 5.10 in., a wall thickness of 0.19 in., and a length of L2 = 10 ft. If a minimum factor of safety of 1.6 is required for each pipe, determine:(a) the maximum load P that may be applied at flange B.(b) the deflection of flange B at the load determined in part (a). Deflection to the right is positive.
PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 0.8m 0.4m B 5KN 0.6m AL 20KN What is the deformation &pE in mm? A=800 mm² A=1,200 mm²