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 Brass core (E = 105 GPa) 40 mm 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. (CLARIFY YOUR SOLUTION) Aluminum plates (E = 70 GPa) 300 mm Brass core (E = 105 GPa) 40 mm 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 12.11P

See similar textbooks

Similar questions

Estimate the transverse tensile strength of the concrete in Problem 12.6.
The composite shaft , consisting of aluminium, copper and steel sections, is subjected to the loading shown. The cross-sectional areas of sections AB, BC and CD are AAB=0.08 in2, ABC=0.11 in2, and ACD=0.05 in2, respectively. The modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. Determine the normal stress in section AB,BC and CD. Also determine the displacment of end A with respect to end D.
The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. The cross-sectional areas of sections AB, BC, and CD are AAB = 0.08 in², ABC = 0.11 in², and Acp = 0.06 in², respectively. The modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C.
A composite beam is made of two brass (E =110GPa) to two aluminum bars (E = 70GPa), as shown. The beam is subjected to a bending moment of 380 N-m acting about the z-axis. Using a = 5mm, b = 40mm, c = 10mm, and d = 25mm. Calculate: a) the maximum bending stress in the aluminum bars b) the maximum bending stress in the brass bars
1. A composite shaft consists of an aluminum jacket “t” mm thick and a steel core 50 mm in diameter. The maximum allowable angle of twist is 1 degree. The shaft can only carry a torque of 1.2 kN-m. Determine the value of t. Use Gsteel = 80 GPa and Galuminum= 40 GPa. a) Determine the maximum shearing stresses of aluminum b) Determine the maximum shearing stress of steel c) Determine the value of “t”
The following composite shaft is loaded as shown in the figure. The AC segment of the shaft is solid; it is connected to the hollow shaft CD with the help of a rigid flange at C. A torque of 100 Nm is applied at B, as shown. A uniformly distributed torque of 200 Nm/m is applied over the entire length of CD (2m), also shown in the figure. Please ignore the thickness of the rigid flange at C. Given: GAC = 140 GPa, diameter of AC = 20 mm. GCD = 200 GPa, inner diameter of AC = 40 mm, outer diameter of AC = 50 mm. a. Determine the absolute maximum shear stress on the shaft. Specify where it occurs along the length of the shaft and on the circumference of the shaft. Draw the state of stress on a volume element corresponding to the maximum absolute shear stress location. Show proper perspective when drawing the state of stress. b. Determine the absolute maximum shear strain on the shaft. Specify where it occurs along the length of the shaft and on the circumference of the shaft. Be careful…
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 trimetallic composite section in Figure 4 is compressed by an axial load P = 12 kN applied through a rigid plate. The section consists of a circular steel core surrounded by 2 brass and copper shells. The steel core has a diameter of 10mm, the brass shell has an external diameter of 15mm, and the copper shell has an external diameter of 20mm. The corresponding modulus of elasticity are Ea = 210 GPa, El = 100 GPa and Ec = 120 GPa.(a) Calculate the compressive stress σa, σl, and σc, in the steel, brass, and copper, respectively, that produces the force P.
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
QU A composite beam is fabricated by bonding a steel bar and a brass bar and is subjected to the bending moment M = 200 N-m. Determine the maximum bending stress in the brass and steel. Given: E, =200 GPa, E, = 100 GPa Brass 20 }o | Jakrtal
The composite bar shown in the figure is firmly attached to unyielding supports. An Axial force P = 52 kips is applied at 69∘F. Compute the stress (ksi) in the Aluminum at 118 ∘F. Assume α= 6.5 x 10-6/∘ F for steel and 12.8 x 10-6/∘F for aluminum Given: L1 = 17in; L2 = 11in Your final answer should contain two decimal places
A composite beam is made of two brass [E = 99 GPa] plates bonded to an aluminum [E = 63 GPa] bar, as shown. The beam is subjected to a bending moment of 2210 N-m acting about the z axis. Assume b=44 mm, d1=28 mm, d2=13 mm. Determine:(a) the maximum bending stresses σbr, σal 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.