A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a= 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 31 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft O 3.74 kips O 4.77 kips (1) B 3 ft 8 ft 1.5 ft (2) D

A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a= 2.9 x 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 31 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft O 3.74 kips O 4.77 kips (1) B 3 ft 8 ft 1.5 ft (2) D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. What is the stress in each materials given that P = 10kN?
A tensile force P Newton is applied gradually on a prismatic bar of length L m and areas of cross- section A m². The strain energy stored in the bar will be equal to
The following shaft is composed of two materials, both rigidly bonded. The data is provided in the table: Determine: The maximum torque that can be applied based on the maximum stresses of each material. The total deformation of the shaft with the torque from the previous section. The maximum torque that can be applied if the maximum deformation of the shaft is 2.50 rad.
A brass (? =5.6 ? 10^6 ???) and aluminum (? = 3.7 ? 10^6 ???) cylinders are bonded together at B, and are attached to fixed supports A and C. Determine (a) The torsion in AB, (b) The torsion in BC, (c) The maximum shearing stress in AB (d) The maximum shearing stress in BC.
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 94 GPa] with a cross-sectional area of A₁ = 280 mm2. Bar (2) is an aluminum alloy [E = 71 GPa] with a cross-sectional area of A2 = 590 mm². All bars are unstressed before the load P is applied; however, there is a 3-mm clearance in the pin connection at A. Assume L₁ = 1840 mm, a = 880 mm, b = 540 mm, c = 430 mm, and L₂ = 1340 mm. If a load of P = 87 kN is applied at B, determine (a) the normal stresses in both bars (1) and (2). (b) the downward deflection of point A on the rigid bar. h (1) L₁ b a BI Answers: C (2) D L2
A rigid bar of negligible weight is supported and loaded with 70 kN, compute the temperature change AT (°C) that will cause the stress in the bronze rod (L = 1.5 m, A = 300 mm?, and E = 83 GPa) to be 50 MPa. Assume a = 18.9 µm/(m°C) for bronze and 12.8 um/(m°C) for aluminum (L = 3 m, A = 750 mm2, and E = 70 GPa). Aluminum Bronze 2.5 m 1.5 m 70 kN
Problem 1 An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Aluminum Steel A=800mm2 A=1000mm2 Bronze A=700mm? 4P 2P 500mm 600mm 700mm 1. What is the maximum value of P that will not exceed the axial stress bronze of 105 MPa? 2. What is the maximum value of P that will not exceed the axial stress in aluminum of 90 MPa? 3. If P=10KN, what is the axial force to be carried by the aluminum in KN? 4. If P is 5KN, what is the axial stress of steel?
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm. The cross-sectional dimensions of the beam are b, = 36 mm, d1 = 95 mm, b2 = 22 mm, d2 = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 M d2 d1 |A В b1 Answer: M = N-m
The rigid bar of negligible weight is supported as shown. The assembly is initially stress-free. Find the stress in each rod if the temperature rises by 20∘C after a load W = 110 kN is applied. Use the following properties in the table.
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; α = 2.9 × 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; α = 12.5 × 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.2. The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 56 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1).
Step by step solution *
A load P will be supported by a structure consisting of a rigid bar ABCD, a polymer [E = 2,300 ksi; a = 2.9 × 10-6/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 × 10-6/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.². The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 69 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). 6 ft 2.5 ft 07.01 kips 5.63 kips 8.39 kips 9.29 kips 6.66 kips (1) B 3 ft C 8 ft 1.5 ft