A member of uniform rectangular cross section is subjected to a bending moment M = 36.8kN-m. The member is made of an elastoplastic material with a yield strength of 240 MPa anda modulus of elasticity of 200 GPa. Determine (a) the thickness of the elastic core, (b) the radiusof curvature of the neutral surface.c = 60 mmc = 60 mmb = 50 mm↑YY

The objective of the question is to determine the thickness of the elastic core and the radius of…

Answered: A member of uniform rectangular cross…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A 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.
10/10 FIND STRESS IN STEEL MATERIALS IN COMPOSITE COLUMIN SHOWN BELOW. IF E st= 200 kN/MM2, Ealu.=70 kN/MM2 100 kN RALU=30 MM Aluminum Steel 1m R ST 20 MM
QI/ An aluminum bar carries the axial loads at the positions shown in Fig. 1, below. The diameter for part AB, BC and CD is 35 mm, 40 mm and 30 mm, respectively. The elastic modulus for aluminum is 72.4 x 10 N/mm. Determine the internal stresses at section (A-B), (B-C) and (C- D), and the elongation (AL) in length at each part of aluminum due to loading. в D 37 kN 10 kN 45 kN 18 kN 1000 mm 800 mm I 600 mm Fig. 1
A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 70 GPa] bars, as shown. The beam is subjected to a bending moment of 400 N-m acting about the z axis. Using a = 15 mm, b = 100 mm, c = 30 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum y Brass Aluminum b Brass C a d
A composite beam is made of two brass [E = 120 GPa] bars bonded to two aluminum [E = 73 GPa] bars, as shown. The beam is subjected to a bending moment of 445 N-m acting about the z axis. Using a = 15 mm, b = 125 mm, c = 30 mm, and d = 75 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum C Aluminum Answers: (a) Ogl Brass (b) Obr= i i b Brass a MPa MPa
An elastoplastic material with strain hardening has the stress–strain relationship shown in Figure 1.6(c). The modulus of elasticity is 175 GPa, yield strength is 480 MPa, and the slope of the strain-hardening portion of the stress–strain diagramis 20.7 GPa.a. Calculate the strain that corresponds to a stress of 550 MPa.b. If the 550-MPa stress is removed, calculate the permanent strain.
Question: Determine the diameter of the elastic core of the rod ? Options: A. 13.72 mm B.10.34 mm C.11.57 mm D.12.95 mm A solid steel rod is 1.5 meters long and has a diameter of 20 mm. The steel rod is assume to be an elastoplastic material with G = 77 GPa and a yield shear stress of 145 MPa.
The composite bar is firmly attached to unyielding supports. The bar is stress-free at 50°F. Compute the stress in each material after the 80-kip force is applied and the temperature is increased to 100°F. Use a = 6.5 x106/°F for steel and a = 12.8 x106/°F for aluminum. Aluminum A = 2 in.² E = 10 x 106 psi 15 in. Steel A = 3 in.2 E = 29 × 106 psi 80 kips 10 in.
The composite material is fastened to their junction at rigid plate B and attached to rigid fixed supports at both ends subjected to two loads of 12k positioned symmetrically at B. Determine the stresses and their corresponding behavior for each material. Use 2 decimal places in every solved value. 亚 А 12k 12k 1 ft Steel Est = 29 x 10° psi Ast = 1.03 in? B Aluminum 2 ft Eal = 10 × 106 psi Aal = 8.92 in² C

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