f) the maximum bending moment in the beam. Enter your answer in kNm to 3 decimal places.
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f) the maximum bending moment in the beam. Enter your answer in kNm to 3 decimal places.
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- A composite T-beam is built up out of plywood and steel angle sections. The steel angle sections have 100mm long sides and are 10mm thick. What is the maximum allowable distributed load (w) if we do not want the materials to go beyond their allowable stresses. Given: For plywood: E = 15 GPa, σmax = 8 MPa For steel: E = 200 GPa, σmax = 150 MPa= 12 mm. The The following figure depicts an aluminum I beam of height h = 0.25 m, width b = 0.2 m, flange thickness ta = 16 mm, and web thickness tw beam is reinforced by two layers of unidirectional composite material of thickness to = 5 mm. The section is subjected to an axial force N₁ = 500 kN. The Young's moduli for the aluminum and unidirectional composite are Ea 73 GPa and Ec 140 GPa, respectively. = (a) Compute the axial stiffness for this structure. (b) Compute the maximum axial stress in both the aluminum and composite layers. CS Scanned with CamScanner 1₁ I h t₂ I b poQ.4)A composite T-beam whose cross-section is shown below is constructed by bonding together of a steel T-beam (E = 200 GPa, Oall = 150 MPa) and two rectangular wood planks (E = 10 GPa, Oall = 9 MPa). Determine the largest permissible bending moment about the horizontal neutral axis for this composite beam. 200 mm 20 mm 300 mm 75 mm 75 mm 20 mm
- Problem 1- A composite T-beam is built up out of plywood and steel angle sections. The steel angle sections have 100 mm long sides and are 10 mm thick. What is the maximum allowable distributed load, w, if we do not want the materials to go beyond their allowable stresses. Given: For plywood: E = 15 GPa, omax = 8 MPa For steel: E = 200 GPa, oma: 150 MPa %3D %3D > 50 K K100> K 100> 3 m: Cross section (dimensions in mm) 200-Q1 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 |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 Answer
- 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 made of steel and bronze has the cross section shown. The cross-sectional dimensions are bz - 0.9 in, b2 - 2.7 in., and d- 1.8 in. The elastic modulus of the steel is E1 - 30,000 ksi, and its allowable bending stress is 17 ksi. The elastic modulus of the bronze is Ez - 15,000 ksi, and its allowable bending stress is 14 ksi. Calculate the allowable bending moment that can be applied about the z centroidal axis. Bronze (2) d Steel (1) b2 Part 1 Determine the modular ratio in order to transform the steel into an equivalent amount of bronze. Answer: n - iA composite beam made of steel and bronze has the cross section shown. The cross-sectional dimensions are b, - 0.9 in, b2 - 2.7 in., and d- 1.8 in. The elastic modulus of the steel is E, - 30,000 ksi, and its allowable bending stress is 17 ksi. The elastic modulus of the bronze is E2 - 15,000 ksi, and its allowable bending stress is 14 ksi. Calculate the allowable bending moment that can be applied about the z centroidal axis. Bronze (2) d Steel (1) b2 Part 1 Your answer has been saved. See score details after the due date. Determine the modular ratio in order to transform the steel into an equivalent amount of bronze. Answer: n- Attempts: 1 of 1 used Part 2 Determine the area moment of inertia of the transformed section about the z-axis. Answer: in.4
- The figure shows a composite bar, it is stress free before the axial loads P1 and P2 are applied. Assuming that the walls are rigid, calculate the stress in each material if p_{1} = 120 kN and P2 - 80 kN.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 has a cross section as shown in the figure below. The moment due to dead load, prior to concrete attaining strength is 581 kN-m. Subsequent to concrete attaining its strength, an applied load induces an additional moment of 410 kN-m and a vertical shear of 170 kN. Assume that the beam is not shored when the slab was poured and assume that creep and shrinkage stresses are negligible. Assume full composite action. Determine the longitudinal force at the junction of the slab and steel beam due to vertical shear.