beam_design SS C C C C 01

Dimensions and Loads:

a	b	c	d
2.5 m	2.3 m	1.8 m	2.4 m
$F_1$	$F_2$	$F_3$	$F_4$
11 kN	6 kN	12 kN	17 kN

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

(a) The reactions at the supports.
(b) The maximum bending moment supported by the beam.
(c) The minimum required section modulus for the beam.
(d) The lightest American Standard I Beam suitable for this application.

Answers:
(a) $R_A$ = , $R_E$ =

(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

be sure to include units with your answers