Problem 2 For the beam shown in the figure A) Draw the shear-force and bending-moment diagrams for the beam shown in the figure. B) For the composite section, aluminium [E = 70 GPa] bonded to a steel [E = 210 GPa], located at the maximum bending moment, determine: (1) the maximum bending stresses in the aluminium and steel bars. (2) the stress in the two materials at the joint where they are bonded together. K4N/M 2m B 10kN/mm 4m 2m Steel Aluminum 20 mm 13 mm

Problem 2 For the beam shown in the figure A) Draw the shear-force and bending-moment diagrams for the beam shown in the figure. B) For the composite section, aluminium [E = 70 GPa] bonded to a steel [E = 210 GPa], located at the maximum bending moment, determine: (1) the maximum bending stresses in the aluminium and steel bars. (2) the stress in the two materials at the joint where they are bonded together. K4N/M 2m B 10kN/mm 4m 2m Steel Aluminum 20 mm 13 mm

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.3P: Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2...

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Problem 2 For the beam shown in the figure A) Draw the shear-force and bending-moment diagrams for the beam shown in the figure. B) For the composite section, aluminium [E = 70 GPa] bonded to a steel [E = 210 GPa], located at the maximum bending moment, determine: (1) the maximum bending stresses in the aluminium and steel bars. (2) the stress in the two materials at the joint where they are bonded together. K4N/M 2m B 10kN/mm 4m 2m D Steel Aluminum 42mm 20 mm 13 mm
The cross-section of a composite beam made of aluminium and steel is shown in the figure. The moduli of elasticity are E_{a} = 75GPA and E_{s} = 200 GPa. Under the action of a bending moment about z-axis that produces a maximum stress of 50 MPa in the aluminium, what is the maximum stress o in the steel? %3D %3D Aluminium Steel: 30 mm 1- - ww 08
Q.2 The bar is made of an aluminium alloy having a stress-strain diagram that can be approximated by the straight line segment shown. Assuming that this diagram is the same for both tension and compression, determine the moment the bar will support if the maximum strain at the top and bottom fibers of the beam is E max = 0.05. 630 560 420 (MPa) 0.006 0.025 0.05 100mm M € (mm/mm) 75mm
A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 125 mm. The cross-sectional dimensions of the tee shape are b = 15 mm, d = 23 mm, and t = 9 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 460 με is measured from a strain gage located at c = 9 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P?
A 26-foot-long structural steel bar is being tensed along its centroidal axis. Point B is being tensed by 180 kips of force and point C is being tensed by 121 kips of force. The bar has a rectangular cross-section with a height of 3.6 inches and width of 2.8 inches. The steel is HSLC steel with a yield stress, oy = 50 ksi and modulus of elasticity, E = 30,000 ksi. Show all work and any assumptions clearly. Record your answers on the answer key. Complete the following: ): Calculate the axial stress in sections AB and BC of the beam. Does the calculated stress in either section exceed the yield stress of the steel? Calculate the deformation in sections AB and BC of the beam. What is the total axial deformation that the beam experiences? What is the final length of the beam? Calculate the factor of safety that this structural bar was designed for. w = 2.8 in. A B 180 k C 121 k Answer Key σ > Gy Yes or No * 18 ft 8 ft Axial Section Stress (ksi) AB BC Total Deformation, 8 (in) Final Length…
The composite bar shown is firmly attached to unyielding supports. An axial load P= 200 kN is applied at 20°C. Assume a = 11.7 um/(m °C) for steel and 23.0 um'(m °C) for aluminum. Find the reaction at the left support. a. find the reaction at the left supportb.find the stress at the steelc. find the stress at the aluminum
A flat bar of aluminum alloy 25 mm wide and 5 mm thick is placed between two steel bars each 25 mm wide and 10 mm thick to form a composite bar 25 mm x 25 mm as shown. The three bars are fastened together at their ends when the temperature is 15℃. Find the stress in each of the materials when the temperature of the whole assembly is raised to 55 ℃.Steel: Es = 200 GPa; Coefficient of expansion = 1.2x10^-5/℃.Aluminum: Eal = 200/3 GPa; Coefficient of expansion = 2.3x10-5/℃.
a) Determine the force P (in kN) required to stretch the Aluminum bar by 3mm. B) Determine the final width and thickness of the Aluminum bar. (1)
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
A small aluminum alloy [E = 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 125 mm. The cross-sectional dimensions of the tee shape are b= 15 mm, d = 23 mm, and t = 9 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 460 u is measured from a strain gage located at c = 9 mm below the topmost edge of the tee stem at section 1-1. What is the applied load p?
A small aluminum alloy [E = 61 GPa] tee shape is used as a simply supported beam as shown. For this beam, a = 155 mm. The cross-sectional dimensions of the tee shape are b %3D = 22 mm, d = 33 mm, and t = 7 mm. After loads are applied to the beam at B, C, and D, a %3D compressive normal strain of 420 µɛ is measured from a strain gage located at c = 6 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? P 3P В D E Strain gage- d H b Answer: P = i N
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