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

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

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter1: Introduction

Section: Chapter Questions

Problem 1.5.6P: The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular...

See similar textbooks

Similar questions

The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
40-mm sides glass polymer fibers composite cube shown in Figure.2. The Glass polymer fibers aligned in the xdirection. The cube is constrained against deformations in the ? and ? directions and is subjected to a tensile loadof 60 ?? in the x direction. Estimate the strain, change in length and stresses in ?, ?, and ? directions as well asdetermine the volumetric strain. Illustrate the effect of three-dimensional strain by constructing appropriatesketches (before and after deformation for both cube and fibers, assume the fibers have radius of ?). Repeat theanalysis for lower value of tensile load and higher value in the range of [20 -100 KN] and comment on the overallresults. What will happen if the force is compression.
A composite beam is made of steel (Est = 300 GPa)and wood (Ew = 15 GPa) materials as shown in Figure 3. The beam is subjected to a positive bending moment (about z-axis from bottom to top) of 60 kN.m. Determine the followings:a) The transformation factor, n. b) The width of steel part transformed to wood and draw the transformedsection. c) The distances h1 and h2. d) Moment of inertia, I of the transformed section. e) The largest tensile and compressive stresses in the wood material. f) The maximum and minimum tensile stresses in the steel material.
The composite beam shown in the figure is simply supported and carries a total uniform load of 90 kN/m on a span length of 4 m. The beam is built of a wood member having cross-sectional dimensions 150 mm x 250 mm and two steel plates of cross-sectional dimensions 50 mm × 150 mm. The moduli of elasticity are Es = 214 GPa and Ew = 11 GPa. (a) Determine the maximum stress in the steel. (Disregard the weight of the beam. Round to one decimal place.) (b) Determine the maximum stress in the wood. (Disregard the weight of the beam. Round to one decimal place.)
The composite beam shown in the figure is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions 150 mm 250 mm and two brass plates of cross-sectional dimensions 30 mm 150 mm. (a) Determine the maximum stresses B and w in the brass and wood, respectively, if the moduli of elasticity are EB 96 GPa and Ew 14 GPa. (Disregard the weight of the beam.) (b) Find the required thickness of the brass plates so that the plate and wood reach their allowable stress values, saB 70 MPa and saw 8.5 MPa, simultaneously under the maximum moment. What is the maximum moment?
A square beam (w=0.03 m) is loaded with a point load of 1000 N and a moment load of 1000 Nm, as shown. i. Determine maximum deflection of the beam using step by step analytical equations. ii. Determine the Maximum stress in the beam using step by step analytical equations iii. For both top fibers and bottom fibers of the square beam, specify the type of the stresses.
A composite beam is constructed using a steel plate (14 mm ✕ 125 mm) with two wood beams (75 mm ✕ 125 mm) on either side. The wood and steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment Mz = 6.80 kN · m. Calculate the maximum tensile and compressive stresses in the wood and steel if Ew = 11 GPa and Es = 200 GPa. (Enter your answers in MPa. Use the deformation sign convention. Use the general theory for composite beams described in the textbook.) maximum tensile stress in wood MPa maximum tensile stress in steel MPa maximum compressive stress in wood MPa maximum compressive stress in steel MPa
Topic: Stresses in Beams Instructions: Find the value of: y = C = A' = y' = I =
An inverted T beam (refer to the Figure 4(a)) manufactured from material with the given stress and strain curve (for tension and compression) as shown in Figure 4 (b) . The cross section is subjected to bending moment such that ε= 0.0024 on the extreme fibre in compression. Determine (a) bending moment on the section (b) curvature of the beam. Assume the location of the neutral axis at 60mm from the bottom surface of the beam. Assume the section above the neutral axis in tension
The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in the figure. The properties of the segments and the working stresses are listed in the table. Determine the maximum allowable value of P if the change in length of the entire bar is limited to 0.08 in. and the working stresses are not to be exceeded.
Topic: Stresses in Beams (Given formulae: Fb =Mc / I for bending stress v = VcA' y' / Ib for Shear stress)
The composite shaft shown in the figure is manufactured by shrink-fitting a steel sleeve over a brass core so that the two parts act as a single solidbar in torsion. The outer diameters of the two parts are d1 = 1.6 in. for the brass core and d2 = 2.0 in. for the steel sleeve. The shear moduli of elasticity are Gb = 5400 ksi for the brass and Gs = 12,000 ksi for the steel.(a) Assuming that the allowable shear stresses in the brass and steel are τb = 4500 psi and τs = 7500 psi, respectively, determine the maximumpermissible torque Tmax that may be applied to the shaft.(b) If the applied torque T =15 kip-in., find the required diameter d2 so that allowable shear stress τs is reached in the steel.