beam deflection CL D M D 01

Dimensions and Loads:

a	b	c	d		$w_1$	$w_2$	M
5.8 ft	10.7 ft	0.4375 in	12 in		435 lb/ft	870 lb/ft	6210 ft*lb

Problem Statement:
A beam is constructed by welding four L3x2x3/8 unequal leg angles to a flat plate as shown in the cross-section view. The beam is then loaded and supported as shown. Find the following, assuming all of the pieces are composed of Structural Steel.

(a) The second moment of area of the beam about its neutral axis.
(b) The deflection of the beam at point B.
(c) The slope of the beam at point B.
(d) The deflection of the beam at point C.
(e) The slope of the beam at point C.

Answers:
(Denote upward deflections with positive values, and downward deflections with negative values. Denote positive slopes with positive values and negative slopes with negative values.)

(a) $I_{NA}$ =

(b) $y_B$ =

(c) $\theta_B$ =

(d) $y_C$ =

(e) $\theta_C$ =

be sure to include units with your answers