A solid aluminum [E = 70 GPa; a = 22.5 x 10-6/°C] rod (1) is connected to a solid bronze [E = 100 GPa; a = 16.9 x 10-6/°C] rod (2)vat flange B as shown. Aluminum rod (1) has an outside diameter of 42 mm, and bronze rod (2) has an outside diameter of 128 mm. The bars are unstressed when the structure is assembled at 30°C. After the 300-kN load is applied to flange B, the temperature increases to 45°C. Determine the normal force in rod (1). A) 44.3 KN (C) (B) 30.5 KN (C) 32.5 KN (C) 41.4 KN (C) A (1) 2.6 m 150 kN 150 kN B Im

A solid aluminum [E = 70 GPa; a = 22.5 x 10-6/°C] rod (1) is connected to a solid bronze [E = 100 GPa; a = 16.9 x 10-6/°C] rod (2)vat flange B as shown. Aluminum rod (1) has an outside diameter of 42 mm, and bronze rod (2) has an outside diameter of 128 mm. The bars are unstressed when the structure is assembled at 30°C. After the 300-kN load is applied to flange B, the temperature increases to 45°C. Determine the normal force in rod (1). A) 44.3 KN (C) (B) 30.5 KN (C) 32.5 KN (C) 41.4 KN (C) A (1) 2.6 m 150 kN 150 kN B Im

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.2.1P

See similar textbooks

Similar questions

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 2.250 in., a wall thickness of 0.18 in., and a length of L₁ = 7 ft. Pipe (2) has an outside diameter of 5.10 in., a wall thickness of 0.20 in., and a length of L₂ = 12 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. (2) (1) C L2 Answer: (a) P = i (b) ug = i P< L₁ B kips in.
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
4 A flanged bolt coupling has ten 12-mm di ameter steel bolts on 500 mm diameter b olt circle and six 16 mm diameter aluminu m bolts on 300 mm diameter bolt circle. T he maximum shear stresses of the materi als are 60 MPa in steel and 40 MPa in al uminum. Use G = 80 GPa for steel and 3 0 GPa for aluminum. What is the maximu m required shear strength of each alumin um bolt to determine the maximum torqu e that can be applied to the system? Dra wing not included in this problem.
Find the stress in each rods. The 300 mm x 300 mm santrir m 2 m P-30 kN Steel L-0.5m E-200 GP A-500 m 1.5m Bronze L-2m E-70 GPa A-300 mm²
The assembly consists of two steel bolts AB and EF and an aluminum rod CD. When the temperature is at 30 °C, the gap between the rod and rigid member AE is 0.1 mm. Determine the force in the bolts (AB, EF) and the rod (CD) if the temperature rises to 130 °C. Assume BF is also rigid. 0.1 mm Steel bolts AB.EF E = 200 Gpa a=14x10/C Aluminum rod CD E = 68.9 Gpa a=24x10/C 25 mm 25 mm 400 mm 300 mm 50 mni D.
Maxinnun allowable stress for steel - 140 MPa Maxinnum allowable stress for ahuminum = 90 MPa Maxinnun allowable stress for brouze - 100 MPa Required: Maximun safe value of axial load P Aluminum A 400 mm Bronze A= 200 mm Steel A= 500 mm 2P 4P 2.5 m 2.0 m 1.5m
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 2.125 in., a wall thickness of 0.24 in., and a length of L1 = 6 ft. Pipe (2) has an outside diameter of 4.25 in., a wall thickness of 0.17 in., and a length of L2 = 10 ft. If a minimum factor of safety of 1.9 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.
8. The assembly consists of a steel bar A (Ast= 500 mm2, Est= 200 GPa, and aAL= 12 x 10-6), a rigid block C, and a bronze bar B (ABR= 2000mm2, EBR= 100GPA, and aBR= 18 x 10-6) securely fastened together to rigid supports at the ends as shown. Initially, there is no stress in the members. The temperature drops 25°C, and the load P of 200kN is applied. Determine the maximum normal stresses in A and B for this condition. P/2 P/2 0.5m
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.
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 2.300 in., a wall thickness of 0.21 in., and a length of L1 = 7 ft. Pipe (2) has an outside diameter of 4.70 in., a wall thickness of 0.17 in., and a length of L2 = 12 ft. If a minimum factor of safety of 2.2 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 solid aluminum [E = 70 GPa; α = 22.5 × 10-6/°C] rod (1) is connected to a solid bronze [E = 100 GPa; α = 16.9 × 10-6/°C] rod (2)vat flange B as shown. Aluminum rod (1) has an outside diameter of 42 mm, and bronze rod (2) has an outside diameter of 128 mm. The bars are unstressed when the structure is assembled at 30°C. After the 300-kN load is applied to flange B, the temperature increases to 45°C. Determine the normal force in rod (1).