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- Problem 2 A composite beam made of steel and concrete has the dimensions and layout shown below. Determine (a) the location of the neutral axis; (b) The maximum allowable positive moment for the beam cross-section; and (c) the maximum allowable negative moment for the beam cross-section. = 200 GPa and a yield stress oy, steel = = 25 GPa and a yield stress oy, concrete = 30 MPa. The steel has an elastic modulus Esteel 275 MPa. The concrete has an elastic modulus Econcrete Assume that the concrete cannot carry any tensile stress. 2500mm 100mm 10mm 260mm 6mm 100mmA composite beam is constructed using a steel plate (10 mm x 145 mm) with two wood beams (75 mm x 145 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 M₂ = 7.45 kN. m. ź Steel Wood i Calculate the maximum tensile and compressive stresses in the wood and steel if Ew = 11 GPa and E = 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 MPa maximum tensile stress in steel maximum compressive stress in wood maximum compressive stress in steel MPa MPa Need Help? Read It1. 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 mm
- A composite beam is made of two brass [E - 111 GPa] bars bonded to two aluminum [E - 72 GPa] bars, as shown. The beam is subjected to a bending moment of 250 N-macting about the z axis. Using a - 10 mm, b- 65 mm, c- 20 mm, and d- 45 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Aluminum Brass Brass Aluminum Answers: (a) Oa i MPa (b) Oer MPa Save for Later Attempts: 0 of 1 used Submit Answer1. 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 mmA composite beam is constructed using a steel plate (15 mm x 145 mm) with two wood beams (75 mm x 145 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 M, = 6.85 kN m. Z Steel Wood 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 1-94 h
- Q Search MT ACTIVITY 2M Close Activity File Home Insert Draw View Help Open in Desktop App O Tell me what you want to do v 11 ev Av A A Styles v E Tags v abc v Calibri ... SW The composite bar shown in Fig. P-273 is firmly attached to unyielding supports. An axial force P = 50 kips is applied at 60°F. Compute the stress in each material at 120°F. Assume a = 6.5 × 10- Teams Assignments 国 Calendar Calls 6 in/(in-°F) for steel and 12.8 x 10-6 in/(in-°F) for aluminum. Files Aluminum A = 2 in? E = 10 x 10° psi Steel A = 3 in? E = 29 x 10° psi ... 15 in 10 in 田 HelpA composite beam is constructed using a steel plate (14 mm x 155 mm) with two wood beams (75 mm x 155 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 M₂ = 6.50 kN. m. Steel- Wood i Calculate the maximum tensile and compressive stresses in the wood and steel if Ew = 11 GPa and E = 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 MPaA composite bar is rigidly attached to the wall at A as shown in the figure. Axial loads are applied at the positions indicated. 3 m 2.5 m C 1200 kN 900 kN 80mmØ 100mmØ E = 83 GPa Bronze E = 200 GPa Steel Which of the following most nearly gives the deformation of C? a. -0.7855 mm О Ъ. +0.8575 mm c. +0.7855 mm o d. - о.8575 mm
- 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.! 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 = 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