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The composite beam in the following figure is made of wood material $($ A $)$ and streel material $($E$).$

Take E$1=12$ GPa for material $A,$ and $E2=200$GPa for material $B,h1=100mm,h2=40mm,$ and $b=150mm.$

a$)$ Determine the transformation factor.

b$)$ Determine the location of neutral axis calculated from a reference axis located at the bottom of the section.

c$)$ Calculate the moment of inertia about the neutral axis in $m{m}^4.$

Part A and part B independent

Part A:

If the beam is subjected to a bending moment of $M=4kN.m.$

a$)$ Calculate the maximum compressive stress $$

b$)$ Calculate the maximum tensile stress. $$

Part B:

If the allowable bending stress of the wood is $10$ MPa and that of steel is $200$ MPa

a$)$ Determine the maximum moment $($M$)$ that can be applied. $$

$0\mathrm{.}0616\mathrm{.}67200\mathrm{.}6$

$36\mathrm{.}38$ mm

$23\mathrm{.}85$ mm

$37\mathrm{.}45$ mm

$29\mathrm{.}13$ mm

$10$ mm

$9357974\mathrm{.}14$

$6230649\mathrm{.}43$

$18715948\mathrm{.}26$

$3342307\mathrm{.}69$

$13277168\mathrm{.}37$

$5384782\mathrm{.}61$

$3\mathrm{.}43$ MPa

$5\mathrm{.}14$ MPa

$171$ MPa

$6\mathrm{.}9$ MPa

$2\mathrm{.}76$ MPa

$4.28$ MPa

$4\mathrm{.}94$ MPa

$3\mathrm{.}43$ MPa

$$