Problem No. 3 (16pt) A wood beam is strengthened using two steel plates as shown in...
The 5.2 x 10.4-in. timber beam has been strengthened by bolting to it the steel reinforcement shown. The modulus of elasticity for wood is 1.8 × 106 psi and for steel 29 x 106 psi. Knowing that the beam is bent about a horizontal axis by a couple moment oß35 kip determine the maximum stress in the wood. in., 5.2 in 10.4 in 4.5 × ½ in. ksi 10 The 5.2 x 10.4-in. timber beam has been strengthened by bolting...
Page 7 of 9 Q4. (30%) Composite Beam Three identical wooden beams and two identical steel plates are bolted together to form the composite shown in the sketch. Determine the largest allowable bending moment, Malom, when the member is bent about the horizontal axis. Include sketch of transformed area, and list all assumptions and equations. Material/Properties Wood Steel Elastic Modulus 2,900,000 psi 29,000,000 psi Allowable Normal Stress 3,000 psi 18,000 psi 10 in 2.5 in 0.25 in a) Determine n...
A concrete beam is strengthened using two steel plates as shown in the cross section of the member. The beam has simple supports and an overhang and is subjected to a uniform load as shown. Assume that Ec=25 GPa and Es=200 GPa. 1. Determine the maximum moment carried in the member. 2. Determine the modular ratio, n. 3. Determine the centroid of the transformed section 4. Determine the maximums stresses in the concrete and the steel. 2 kN/m A- B...
Q.1. The 6x12 in timber beam has been strengthened by bolting to it the steel reinforcement shown. The modulus of elasticity, E for wood is 1.8x10 psi and for steel, 29x10 psi. The beam is bent by a moment M 450 kip in. (a) determine the maximum stress in the wood; (b) determine the maximum stress in the steel. 12 in
Wooden beams and steel plates are securely bolted together to form the composite member shown. Assume E = 2.000 ksi and the allowable normal stress is 2 ksi for the wood. Assume E = 29.000 ksi and the allowable normal stress is 22 ksi for the steel. Determine the largest permissible moment, M_max when the member is bent about a horizontal axis.
The 6 x 12 in. Timber beam has been strengthened by bolting to it The 6 Times 12 - in. timber beam has been strengthened by bolting to it the steel reinforcement shown. The modulus of elasticity for wood is 1.8 Times 106 psi and for steel 29 X 106 psi. Knowing that the beam is bent about a horizontal axis by a couple of moment M = 450 kip . in., determine - the maximum stress in (a) the...
Figure 2a shows a composite beam made by placing three steel plates inside a wooden section. (a) Determine the maximum bending stress developed in the wooden section and steel plate if the beam is subjected to allowable bending moment, M of 20 kN.m. Given that the Modulus of Elasticity of wood is 13.1 GPa and steel is 200 GPa. [14 Marks] Figure 2a: Composite beam (b) Figure 2b shows another beam without steel plates. Suggest the maximum bending stress for...
A wood beam (1) is reinforced on its lower surface by a steel plate (2) as shown in the figure. Dimensions of the cross section are b 1 = 220 mm , d = 385 mm , b 2 = 190 mm , and t = 25 mm . The elastic moduli of the wood and steel are E 1 = 12.5 GPa and E 2 = 200 GPa , respectively. The allowable bending stresses of the wood and steel...
Question 2 (30 marks) The wood beam below (cross section dimensions 150 x 250 mm, as indicated) is strengthened at the bottom using 3 steel reinforcement plates of the same 12mm thickness (see figure), perfectly glued to the wooden beam. The modulus of elasticity for wood is E,-12 GPa and for steel E,-200 GPa. Given the allowable stresses (in both tension and compression) for wood ơw-12 MPa and for steel Ơs = 150 MPa, determine the largest possible moment due...
A composite beam of steel and wood is loaded as shown. The dimensions of the wood block are 4.00 in by 16.0 inches, with steel plates that are 4.00 in wide and 0.75 in thick. The load varies along the beam as, w(x) 100 5x2 where x-0 at the wall, x is in feet, and the load is in kip/ft. The length of the beam is 15 feet. Assume all within elastic limit. Determine The reactions at the wall a....