WeBWorK Standalone Renderer

barge crane 01

Dimensions:

$w_1$	$w_2$	$w_3$	$w_4$	$w_5$	$\theta$
5.4 m	99 cm	3.2 m	8.3 m	15.8 m	78 deg

$h_1$	$h_2$	$h_3$	$h_4$	$h_5$	$h_6$
17.6 m	4.4 m	12.1 m	7.4 m	3.3 m	6.2 m

Problem Statement:
The barge crane shown is supporting a payload of 14.1 metric tons. Assume pulleys at B and at G are frictionless and have the same diameter. Also, neglect self-weight of the structure. Find the following:
$\bullet$ the forces carried in each rope and in struts DE and HI
$\bullet$ the magnitude and direction of each force exerted on arm ABC
$\bullet$ the magnitude and direction of each force and moment exerted on column DGHJ.

Two-Force Members:
$\bullet$ Denote tension forces with positive values; compressive forces with negative values.

Member	Force	Member	Force
BG		CE
DE		EI
GK		HI
IL

Forces Exerted on Member ABC:
$\bullet$ Express force directions as angles measured between -180 and +180 degrees from the positive x axis.
$\bullet$ Express all force magnitudes as positive values.

Location
Force
Direction

A

B

C

Forces and Moments Exerted on Member DGHJ:
$\bullet$ Express force directions as angles measured between -180 and +180 degrees from the positive x axis.
$\bullet$ Express all force magnitudes as positive values.
$\bullet$ Express counter-clockwise moments with positive values; clockwise moments with negative values.

Location
Force
Direction
Moment

A

D

G

H

J

be sure to include units with your answers

You can earn partial credit on this problem.