10.4 A beam of the cross section shown is made of a steel which is opumed to be elastoplastic with E = 200 GPa and
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- A composite bar is rigidly attached to the wall at A as shown in the figure. Axial loads are applied at the positions indicated. 3 m 2.5 m C 1200 kN 900 kN 80mmØ 100mmØ E = 83 GPa Bronze E = 200 GPa Steel Which of the following most nearly gives the deformation of C? a. -0.7855 mm О Ъ. +0.8575 mm c. +0.7855 mm o d. - о.8575 mmPROBLEM 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! Required information A steel bar (Es= 210 GPa) and an aluminum bar (Ea = 70 GPa) are bonded together to form the composite bar shown. 8 mm 8 mm 8 mm Aluminum 24 mm -Steel Determine the maximum stress in steel when the bar is bent about a horizontal axis, with M= 56 N.m. The maximum stress in steel is - MPa.
- PROBLEM 4.75 A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200 GPa and ay 350 MPa. For bending about the z axis, determine the bending moment and radius of curvature at which (a) yield first occurs, (b) the plastic zones at the top and bottom of the bar are 25 mm thick. 12.5 mm 60 mm 25 mm 60 mm 25 mm -12.5 mmPROBLEM 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 mm²A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E=29×106psi and σY= 42 ksi. A bending couple is applied to the beam about the z axis, causing plasticzones 2 in. thick to develop at the top and bottom of the beam. After the couple has been removed, determine (a) the residual stress at y=2 in., (b) the points where the residual stress is zero, (c) the radius of curvature corresponding to the permanent deformation of the beam.
- Two polymer bars are connected to a rigid plate at 8, as shown. Bar (1) has a cross-sectional area of 1.42 in.and an elastic modulus of 2180 ksi. Bar (2) hasa cross-sactional area of 1139 in.and anelastic modulus of 4150 ksi. Assume l-23 in., L-41 in, Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Datermine the horizontal deflection of end Crelative to end A P R (1) (2) Answer: uga in.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/℃.An aluminum tube is fastened between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. For Bronze: Allowable stress = 120 MPa, EB = 83,000 MPa For Aluminum: Allowable stress = 120 Mpa, EA = 70,000 MPa For Steel: Allowable stress = 120 MPa, Es = 200,000 MPa Assume that the assembly is suitably braced to prevent buckling. Maximum overall deformation should not exceed 2mm. a) Give the value of the force acting on the bronze so as not to exceed allowable stresses and deformation. b) Give the value of the force acting on the aluminum so as not to exceed its allowable stresses and deformation. c) Give the value of the force acting on the steel so as not to exceed its allowable stresses and deformation.
- 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 Q2 5) What is the deformation 8, in mm? A=800 mm? A=1,200 mm?X Your answer is incorrect. Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.42 in.? and an elastic modulus of 2180 ksi. Bar (2) has a cross-sectional area of 1.139 in.? and an elastic modulus of 4150 ksi. Assume L;-23 in., L2-41 in., Q-6.7 kips, P-3.7 kips, and R-14.1 kips. Determine the horizontal deflection of end Crelative to end A. R (1) (2) P L1 L2 Answer: UCIA - i 0.0725 in.An aluminum alloy cylinder with a diameter of 76 mm and a height of 150 mm. is subjected to a compressive load of 220 kN. Assume that the mate-rial is within the elastic region and a modulus of elasticity of 75 GPa. a. What will be the lateral strain if Poisson’s ratio is 0.33?b. What will be the diameter after load application?c. What will be the height after load application?