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- Question 2 Calculate the bending stress at the bottom edge of the following composite beam subject to a bending moment of M= 1500 Nm. The lower section is made from steel (E = 200 GPa) and the upper section is made from aluminium (E = 70 GPa). All dimensions are in mm. 100 YA 100 Z 10 >A composite beam made of steel and bronze has the cross section shown. The cross-sectional dimensions are b1 = 0.5 in, b2 = 1.5 in., and d = 1.0 in. The elastic modulus of the steel is E1 = 30,000 ksi, and its allowable bending stress is 24 ksi. The elastic modulus of the bronze is E, = 15,000 ksi, and its allowable bending stress is 16 ksi. Calculate the magnitude of the allowable bending moment that can be applied about the z centroidal axis. y Bronze (2) Steel (1) bị b2 Answer: M = i Ib-in. Save for Later Attempts: 0 of 1 used Submit AnswerQ2: A composite beam is made of two brass [E =100 GPa] plates bonded to an aluminum [E =75 GPa] bar, as shown in Figure below. The beam is subjected to a bending moment of 1200 N-m acting about the z axis. Determine: (a)the maximum bending stresses in the brass plates and the aluminum bar. (b) the stress in the brass at the joints where the two materials are bonded together.
- 1. Three metal strips, each 40 mm height, are bonded together to form the composite beam shown. The modulus of elasticity is 210 GPa for the steel, 105 GPa for the brass, and 70 GPa for the aluminium. If the allowable bending stress for the aluminum (Gallow)al= 100 MPa, for the steel (Gallow)s=150 MPa and (Gallow)b= 200 MPa for brass determine the maximum allowable intensit of w of the uniform distributed load. 2w Aluminum 2w 10 mm Brass 10 mm Steel 20 mm 2m - 40 mm1. Three metal strips, each 40 mm height, are bonded together to form the composite beam shown. The modulus of elasticity is 210 GPa for the steel, 105 GPa for the brass, and 70 GPa for the aluminium. If the allowable bending stress for the aluminum (Gallow)al= 100 MPa, for the steel (Gallow)st 150 MPa and (Gallow)br=200 MPa for brass determine the maximum allowable intensit of w of the uniform distributed load. 2w 2m Aluminum Brass Steel 40 mm- 10 mm 10 mm 20 mmQ1 A cantilever composite beam is formed by bonding together brass bar (EB = 100 GPa) and aluminium (EA = 70 GPa) with cross section and loading at free end as shown in Figure Q1. Parameter x, y, and z are given by: X=0 Y=0 Z=2 (a) Determine the centroid and the moment of inertia of the composite section. (b) Calculate the maximum tensile and compressive stresses in the brass and aluminium. brass 5x mm (10 mm 20mm |4y mm 0.5(4y) mm M=2.z kN.m 4y mm aluminium Figure Q1 |
- Bar A-B-C is made from a fully bonded composite of two materials as shown in the cross section below. Find the Z displacement at point C. A C 1.10 m 20 kN B 1.25 m 50 kN с Y I cross section c-c Uz = 5 mm, material 1 5 mm, material 2 5 mm, material 1 25 mm Material 1 E = 240 (GPa) Material 2 E = 180 (GPa) mm (at C)The structural efficiency in managing bending, shear and for steel vs concreteA bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given in the table, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis. Take x = 32 mm. Modalus of elasticity Allowable stress Aluminum Brass Aluminum 70 GPa 100 MPa 10 mm 10 mm Brass 105 GPa 160 MPa 10 mm mm 10 mm The largest permissible bending moment when the composite bar is bent about a horizontal axis is [ kN-m.
- Determine the maximum moment of inertia of the composite figure shown below, in mm^4.A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Taking h= 9 mm and using the data given below, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis. Brass Aluminum 30 mm Modulus of elasticity Allowable stress h 30 mm h Aluminum 70 GPa 100 MPa The largest permissible bending moment is Brass 105 GPa 160 MPa 1.17 kN-m.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