An axial centric force of magnitude P = 450 kN is applied to the composite block shown by means of a rigid end plate. Knowing that h = 10 mm, determine the normal stress in (a) the brass core, (b) the aluminum plates. Aluminum plates (E = 70 GPa) 300 mm Brass core (E = 105 GPa) 40 mm h Rigid end plate 60 mm

An axial centric force of magnitude P = 450 kN is applied to the composite block shown by means of a rigid end plate. Knowing that h = 10 mm, determine the normal stress in (a) the brass core, (b) the aluminum plates. Aluminum plates (E = 70 GPa) 300 mm Brass core (E = 105 GPa) 40 mm h Rigid end plate 60 mm

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.

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An axial centric force of magnitude P = 450 kN is applied to the composite block shown by means of a rigid end plate. Knowing that h = 10 mm, determine the normal stress in (a) the brass core, (b) the aluminum plates. (CLARIFY YOUR SOLUTION) Aluminum plates (E = 70 GPa) 300 mm h Brass core (E = 105 GPa) 40 mm h Rigid end plate 60 mm
The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of end A with respect to end D and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. Aluminum Eal = 10(10³) ksi AAB=0.09 in² 2.00 kip -18 in- Copper Steel Ecu=18(10³) ksi Est = 29(10³) ksi ABC = 0.12 in² ACD= 0.06 in² 3.50 kip HK 3.50 kip -12 in.- 1.75 kip 1.75 kip -16 in 1.50 kip
A composite beam is made of two brass [E = 99 GPa] plates bonded to an aluminum [E = 72 GPa] bar, as shown. The beam is subjected to a bending moment of 2010 N-m acting about the z axis. Assume b-44 mm, d₁-37 mm, d₂-11 mm. Determine: (a) the maximum bending stresses Obr, al in the brass plates and the aluminum bar. (b) the stress in the brass brj at the joints where the two materials are bonded together. Brass (2) Aluminum (1) Brass (2) Answers: (a) Obr = (b) Obrj = i b d₂ d₁ MPa, oal = MPa. MPa.
A composite beam is made of two brass [E = 96 GPa] plates bonded to an aluminum [E = 62 GPa] bar, as shown. The beam is subjected to a bending moment of 2260 N-m acting about the z axis. Assume b=53 mm, d1=48 mm, d2=14 mm. Determine:(a) the maximum bending stresses σbrσb⁢r, σalσa⁢l in the brass plates and the aluminum bar.(b) the stress in the brass σbrjσb⁢r⁢j at the joints where the two materials are bonded together.
The composite bar is firmly attached to unyielding supports. Compute the stress (psi) in each material caused by the application of the axial load P = 50 kips Aluminum A = 1.25 in? E = 10 x 10° psi Steel A = 2.0 in? E = 29 x 10° psi 15 in 10 in
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 Steel 8 mm 8 mm Aluminum 24 mm Determine the maximum stress in aluminum when the bar is bent about a horizontal axis, with M= 66 N-m. The maximum stress in aluminum is MPа.
1. See figure below and solve for the maximum value of torque the composite shaft can accommodate given a maximum shear stress of 8ksi in bronze and 12 ksi for the steel. Assume bronze has G = 6 × 103 ksi, and for steel, G = 12 × 103 ksi. %3| L C2" 3" Hollow Bronze Steel Core D = 3 in, d = 2 in D = 2 in
! 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.
A composite beam is made of two brass [E = 97 GPa] plates bonded to an aluminum [E = 72 GPa] bar, as shown. The beam is subjected to a bending moment of 2420 N-m acting about the z axis. Assume b=64 mm, d1=36 mm, d2=13 mm. Determine: (a) the maximum bending stresses opy,Gal in the brass plates and the aluminum bar. (b) the stress in the brass obrj at the joints where the two materials are bonded together. Brass (2) d2 Aluminum (1) Brass (2) dz b Answers: (a) obr = i MPa, oal = i MPа. (b) Obrj MPa.
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 composite beam is made of two brass [E = 106 GPa] plates bonded to an aluminum [E = 60 GPa] bar, as shown. The beam is subjected to a bending moment of 1720 N-m acting about the z axis. Assume b=45 mm, d₁-53 mm, d₂-13 mm. Determine: (a) the maximum bending stresses Obr, Gal in the brass plates and the aluminum bar. (b) the stress in the brass Obrj at the joints where the two materials are bonded together. Brass (2) Aluminum (1) Brass (2) b ↓ d₂ d₁ d₂
Problem 2: A composite shaft is composed of a solid section AB and a tubular section BC, both of which have circular cross sections. Section AB is made of steel and has a radius of 1 in. Section BC consists of a brass core, with a radius of 0.5 in, surrounded by a steel tube, with an inner radius of 0.5 in and an outer radius of 1 in. Use Gs = 11,500 ksi for steel and Gb = 5600 ksi for brass. The shaft is attached to a fixed support at A, and a torque of T = 50 ft-lb is applied at the free end C. 0.5 in 1 in 2 ft B T = 50 ft-lb 3 ft (a) Calculate the total angle of twist (magnitude only) between and C. (b) Calculate the maximum shear stress in the brass. (c) Calculate the maximum shear stress in the steel.