View Policies Current Attempt in Progress 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 106/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 106/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.?. The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 36 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). %3D %3D (2) (1) 8 ft 6 ft 2.5 ft 3 ft 1.5 ft O 3.58 kips O 3.93 kips O 5.42 kips O 2.83 kips O 4.65 kips eTextbook and Media

View Policies Current Attempt in Progress 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 106/°F] bar (1) and an aluminum alloy [E = 10,000 ksi; a = 12.5 x 106/°F] bar (2), as shown. Each bar has a cross-sectional area of 2.00 in.?. The bars are unstressed when the structure is assembled at 30°F. After a concentrated load of P = 36 kips is applied and the temperature is increased to 100°F, determine the normal force in bar (1). %3D %3D (2) (1) 8 ft 6 ft 2.5 ft 3 ft 1.5 ft O 3.58 kips O 3.93 kips O 5.42 kips O 2.83 kips O 4.65 kips eTextbook and Media

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

The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7x 10-6/°C], with a cross-sectional area of A1 = 370 mm2. Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross- sectional area of A2 = 380 mm?. The bars are unstressed when the structure is assembled. Assume a=360O mm, b=620 mm, c=730 mm, P=20 kN, and L=890 mm. After a concentrated load of P = 20 kN is applied and the temperature is increased by 35°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. A (1) B (2)
For the structure shown with loading symbolised as (1) and (2), what is the stiffness matrix?
A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to provide support for AB. We are investigating the behavior of this system under a specific load. Key Details: Bar properties: Material: Steel with Young's modulus (Esteel) of 200 GPa and coefficient of thermal expansion (a) of 11.7 x 10^-6 /°C. Cross-sectional area: AC: 1960 mm² AD: 1250 mm² Length: AC: √2 meters (square root of 2 meters) AD: 1 meter Inclination angles: AC: θ₁ (theta 1) = 30° from horizontal AD: θ₂ (theta 2) = 20° from horizontal Load on bar AB: Idealized linearly increasing load with a maximum value of 30 kN/m at point B. Problem Objectives: Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB. Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions.If the bar is cooled by 10°C, what would be the: Determine the internal forces (axial forces) acting within bars AC and AD…
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 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?
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 6) What is the deformation &c in mm? 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²
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
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 580 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 112 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 15 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 a a M d2 A B bị
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).
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