beam design SSCL C D D C M D 01

Dimensions and Loads:

a	b	c	d	M
1.9 m	1.7 m	1.9 m	1.5 m	19.1 kN*m
$w_1$	$w_2$	$w_3$	$F_1$	$F_2$
12.2 kN/m	28 kN/m	39 kN/m	10.6 kN	14.3 kN

Problem Statement:
A beam is loaded and supported as shown. Assuming the beam is composed of Structural Steel and must maintain a factor of safety of 2.7 against yielding, find the following:

(a) The reactions at the supports.
(b) The absolute maximum bending moment supported by the beam.
(c) The minimum required section modulus for the beam.
(d) The lightest I Beam (either standard or wide flange) suitable for this application.

Answers:
(a) $R_B$ = , $R_D$ =

(b) $M_{max}$ =

(c) $S_{req}$ =

(d) Beam Choice: S76x8.5 S76x11 S102x11 S102x14 S127x15 S127x22 S152x19 S152x26 S178x23 S178x30 S203x27 S203x34 S254x38 S254x52 S305x47 S305x52 S305x61 S305x74 S381x64 S381x74 S457x81 S457x104 S508x98 S508x112 S508x128 S508x143 S610x119 S610x134 S610x149 S610x158 S610x180 W102x19 W127x24 W152x24 W152x37 W203x22 W203x36 W203x46 W203x60 W254x33 W254x45 W254x67 W254x89 W305x45 W305x74 W305x97 W305x143 W356x45 W356x64 W356x122 W356x179 W406x39 W406x60 W406x100 W406x149 W457x89 W457x113 W457x144 W533x92 W533x124 W533x150 W610x92 W610x125 W610x155 W686x140 W686x217 W762x161 W762x196 W838x193 W838x226 W838x299 W914x238 W914x342

be sure to include units with your answers