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A 6-x 10-in. timber beam has been strengthened by bolting two - x 2-in. steel straps to it as shown below. The moduli of elasticity are 1.5 x 106 psi for the wood and 30 x 106 psi for the steel. Knowing that the beam is bent about a horizontal axis by a bending moment of 200 kip in, determine (a) The maximum flexural stress in the wood. (b) The maximum flexural stress in the steel. 10 in. - 6 in. wood 2 x 3/8 in. steel

A 6-x 10-in. timber beam has been strengthened by bolting two - x 2-in. steel straps to it as shown below. The moduli of elasticity are 1.5 x 106 psi for the wood and 30 x 106 psi for the steel. Knowing that the beam is bent about a horizontal axis by a bending moment of 200 kip in, determine (a) The maximum flexural stress in the wood. (b) The maximum flexural stress in the steel. 10 in. - 6 in. wood 2 x 3/8 in. steel

Elements Of Electromagnetics
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
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A 6-x 10-in. timber beam has been strengthened by bolting two - x 2-in. steel straps to it as shown below. The moduli of elasticity are 1.5 x 106 psi for the wood and 30 x 106 psi for the steel. Knowing that the beam is bent about a horizontal axis by a bending moment of 200 kip in, determine (a) The maximum flexural stress in the wood. (b) The maximum flexural stress in the steel. 10 in. 6 in. wood 2 x 3/8 in. steel
Transcribed Image Text:A 6-x 10-in. timber beam has been strengthened by bolting two - x 2-in. steel straps to it as shown below. The moduli of elasticity are 1.5 x 106 psi for the wood and 30 x 106 psi for the steel. Knowing that the beam is bent about a horizontal axis by a bending moment of 200 kip in, determine (a) The maximum flexural stress in the wood. (b) The maximum flexural stress in the steel. 10 in. 6 in. wood 2 x 3/8 in. steel
Expert Solution
Step 1

Given:

Modulus of elasticity of the wood:

→E1=1.5×106 psi

Modulus of elasticity of the steel:

→E2=30×106 psi

Because moment of inertia of the wood:

→I1=112×6×103=500 in4

And moment of inertia of the steel:

→I2=2×112×38×23=0.5 in4

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