A wood beam reinforced by an aluminum channel section is shown in the figure. 150 mm 232 mm 38 mm 6.5 mm 163 mm The beam has a cross section of dimensions 150 mm x 232 mm, and the channel has a uniform thickness of 6.5 mm. If the allowable stresses in the wood and aluminum are 8 MPa and 46 MPa, respectively, and if their moduli of elasticity are in the ratio 1 to 6, what is the maximum allowable bending moment for the beam? Enter the magnitude in kN- m. (Assume that the component parts of the beam are securely bonded by adhesives or connected by fasteners. Also, be sure to use the transformed-section method in the solution.) kN- m

A wood beam reinforced by an aluminum channel section is shown in the figure. 150 mm 232 mm 38 mm 6.5 mm 163 mm The beam has a cross section of dimensions 150 mm x 232 mm, and the channel has a uniform thickness of 6.5 mm. If the allowable stresses in the wood and aluminum are 8 MPa and 46 MPa, respectively, and if their moduli of elasticity are in the ratio 1 to 6, what is the maximum allowable bending moment for the beam? Enter the magnitude in kN- m. (Assume that the component parts of the beam are securely bonded by adhesives or connected by fasteners. Also, be sure to use the transformed-section method in the solution.) kN- m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

What will be the moment of resistance of the composite section shown in the figure below if the permissible stress in wood and steel is 70 N/mm2 and 120 N/mm2 respectively. Steel plate Wood -200- 10 150 400 126 20
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
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)
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 |
The composite bar is firmly attached to unyielding supports. The bar is stress-free at 50°F. Compute the stress in each material after the 80-kip force is applied and the temperature is increased to 100°F. Use a = 6.5 x106/°F for steel and a = 12.8 x106/°F for aluminum. Aluminum A = 2 in.² E = 10 x 106 psi 15 in. Steel A = 3 in.2 E = 29 × 106 psi 80 kips 10 in.
A bar having the cross section shown has been formed by securely bonding brass and aluminum stock. Using the data given below, determine the largest permissible bending moment when the composite bar is bent about a horizontal axis.Modulus of elasticity 70 GPa,105 GPa Allowable stress100 MPa,160 MPa
The composite bar shown is firmly attached to unyielding supports. An axial load P = 207 kN is applied at 26 ° C. Find the stress in each material at 63 °C. Assume a = 11.7 µm/(m-°C) for steel and 23 um/(m-C) for aluminum. Given: Ea = 75 GPa, Aa = 991 mm², La = 204 mm, Es = 213 GPa, As = 1,213 mm2, Ls = 318 mm. Answer must be in MPa. Aluminum Steel La Ls
I need the answer to the question in engineering resistance
A composite beam is made of two brass [E = 112 GPa] bars bonded to two aluminum [E = 69 GPa] bars, as shown. The beam is subjected to a bending moment of 350 N-m acting about the z axis. Using a = 15 mm, b = 115 mm, c = 25 mm, and d = 65 mm, calculate (a) the maximum bending stress in the aluminum bars. (b) the maximum bending stress in the brass bars. Z Aluminum с Aluminum Answers: (a) Jal= (b) Obr= Brass i y i b Brass a a MPa MPa
The composite material is fastened to their junction at rigid plate B and attached to rigid fixed supports at both ends subjected to two loads of 12k positioned symmetrically at B. Determine the stresses and their corresponding behavior for each material. Use 2 decimal places in every solved value. 亚 А 12k 12k 1 ft Steel Est = 29 x 10° psi Ast = 1.03 in? B Aluminum 2 ft Eal = 10 × 106 psi Aal = 8.92 in² C
Topic Solid mechanics