The composite beam shown in the Figure below is formed of a wood beam and a steel reinforcing plate. The beam is subjected to a positive bending moment M = 60 kips.in. Using the transformed-section method, calculate the largest tensile and compressive stresses in the wood (material 1) and the maximum and minimum tensile stresses in the steel (material 2) if E, = 1500 ksi and E, = 30,000 ksi. %3D 6 in. C. 4 in. B 0.5 in.

The composite beam shown in the Figure below is formed of a wood beam and a steel reinforcing plate. The beam is subjected to a positive bending moment M = 60 kips.in. Using the transformed-section method, calculate the largest tensile and compressive stresses in the wood (material 1) and the maximum and minimum tensile stresses in the steel (material 2) if E, = 1500 ksi and E, = 30,000 ksi. %3D 6 in. C. 4 in. B 0.5 in.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A beam is loaded as shown in the figure. The length 1-20 in. and the load locations are a=10 in. and b= 15 in. The beam is steel with E = 30 Mpsi. The magnitude of the concentrated force is F= 500 lb and the distributed load is 50 lb/in. The dimensions of the beam cross-section are h = 5 and t = 2. You will be finding the deflection and slope at the end of the beam. a b 1 W F
For the steel beam and loading shown above (A = hinge support, C = Cable) (A) Write the equations for bending moment and shear force at any section along the beam and draw the shear force and bending moment diagram. (B) Assume a rectangular beam cross section of 25 x 25 mm, what is the maximum bending stress
A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3 cm and internal diameter 2.3 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis (i) The moment of inertia in (mm^4)= ii) The radius of curvature in (mm) = (iii) The maximum bending stress in (N/mm^2)= iv) The bending stress at the point 0.6 cm from the neutral axis in (N/mm^2)=
Question Four A beam of the cross section that is shown in Figure a was supported by two rigid supports that tilt by 45° from the horizontal ( see Figure b). The own weight (w) of the beam is 1.5 kN/m. allowable tensile stress (o), = 50 MPa. Calculate the maximum length (L) of the beam that can be supported. 20 cm ... 45 If the maximum %3D 40 cm 15 cm 10 cm (а) 450 (b)
A beam has a bending moment of 3 kN-m applied to a section with a hollow circular cross-section of external diameter 3.4 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis Solution: (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is in (N/mm^2) Answer and unit for part 3 iv) The bending stress at the point 0.6 cm from the neutral axis is in(N/mm^2) Answer and unit for part 4
A simply supported reinforced concrete beam carries a uniformly distributed load of 12 kN/m on a span of 4 m. The beam has a rectangular cross section 250 mm wide by 450 mm deep, with three 20 mm diameter steel bars placed 60 mm from the bottom of the beam, as shown below. The moduli of elasticity for the concrete and steel are 15 GPa and 200 GPa, respectively. Determine the average tensile stress in the steel and the maximum compressive stress in the concrete at the section of maximum bending moment. 450 mm 250 mm 60 mm
A beam has a bending moment of 4.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.1 cm and internal diameter 2.1 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.6 cm from the neutral axis Solution: - The bending stress at the point 0.6 cm from the neutral axis is
A simply supported beam is subjected to a distributed load of wi=640 N/m and a point load pi = 940 N. Calculate the internal loadings on the cross section at C. %3D D 1. 3. 6. The internal normal load at C is N = 1280 X N. The internal shear load at C is V = 242 XN. The internal bending moment at C is M = 476 o N-m.
Two vertical forces of P = 240 lb are applied to a simply supported beam shown below having the given cross section shown below. Using a = 30 in., L = 84 in., b = 3.0 in., d = 4.0 in., and t = 0.5 in., calculate the bending stresses produced in the top and bottom of the beam.
A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.6 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.5 cm from the neutral axis is
For the beam shown: Find the maximum possible principal stresses at points C and D on the cross section shown. Data are as follows: P= 6.2 kN, L= 3.2 m, d = 1.25 m, b = 80 mm, t= 25 mm, h = 120 mm, and h, = 90 mm. h B
4. The properties of the steel-reinforced concrete beam are b =8 in., d=18 in., The total area of the steel-reinforcements is Ast = 1.25 in.?, Est/Eco= 6, and the yield stress for steel-reinforcement is (Ost) yp =60000psi. (a) Determine the bending stress that would cause the reinforcement to yield. (b) Compute the corresponding maximum stress in the concrete. h – NA d Ag (total area)