Problem on bending stress

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written 6.5 years ago by

tarashankarsharma • 550

modified 5.4 years ago by

sanketshingote • 100

A timber beam 100mm wide and 200mm deep is strengthened by steel plate 100 mm wide and 10mm thick at the top. The beam is fixed at one end and free at another end and carries a UDL of 8 KN/m over the length of 2m. calculate the maximum stress in timber and steel. Take Es=20 Et

strength of materials

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written 6.4 years ago by

teamques10 ★ 69k

• modified 6.4 years ago

1. The 100mm wide timver strip is replaced by an equivalent

$=\frac{E_t}{E_s}*100=\frac{1}{20}*100=50mm$

( $E_s=20E_t i.e \frac{E_s}{E_t}=20$ given)

Properties of the equivalent steel section.

Component	Area (a)	C.G.distance	ay	a $y^2$	$I_{self}$
	$mm^{2}$	from 1- 1, y(mm)	$mm^{3}$	$mm^{4}$	$mm^{4}$
Top rectangle	100 x 10 = $10^3$	( $\frac{10}{2}$ ) = 5	5 x …

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written 6.5 years ago by

tarashankarsharma • 550

part 1 of 4 part 2 of 4 part 3 of 4 Note : Since equivalent section is in steel, so while calculating the stress for timber always multiply by the modular ratio value m. part 4 of 4

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