A grain silo is in equilibrium under the effect of a variable distributed wheat load and several forces as shown in the Figure. The silo has a gate for releasing the wheat into a rigid u-shape channel at G for dispensing the crop. The channel is connected to the silo by the hinge (or pin) at G and supported externally by the hinge (or pin) H. The silo is also supported by two rigid links (or pendulums) AB and LN. The acting loads are represented by three concentric forces F = 30 kN at K, F2 = 90 kN at D, and F3 = 40 kN at J, and a couple M¡ = 300 kNm (clockwise) at C. The distributed load effect of the wheat is vertical acting between points C and G of the silo. The distributed load has a magnitude equal to wi = 250 kN/m between points C and E and decreases linearly to wz = 80 kN/m when it reaches point G due to the releasing effect of the gate. The angles of forces F2 and F, with the horizontal line are 40° and 20°, respectively. F is horizontal. Do the following: 1. Draw the Free Body Diagram (FBD) of the structure. 2. Find the external reactions at A, H, and N. 7.0 M S.OM 5,0 M 6,0m 9.0m 5.0ML in

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A grain silo is in equilibrium under the effect of a variable distributed wheat load and several forces
as shown in the Figure. The silo has a gate for releasing the wheat into a rigid u-shape channel
at G for dispensing the crop. The channel is connected to the silo by the hinge (or pin) at G and
supported externally by the hinge (or pin) H. The silo is also supported by two rigid links (or
pendulums) AB and LN. The acting loads are represented by three concentric forces F = 30 kN
at K, F2 = 90 kN at D, and F = 40 kN at J, and a couple M = 300 kNm (clockwise) at C.
The distributed load effect of the wheat is vertical acting between points C and G of the silo. The
distributed load has a magnitude equal to wi = 250 kN/m between points C and E and decreases
linearly to w2 = 80 kN/m when it reaches point G due to the releasing effect of the gate. The angles
of forces F2 and F, with the horizontal line are 40° and 20°, respectively. F is horizontal. Do the
following:
1. Draw the Free Body Diagram (FBD) of the structure.
2. Find the external reactions at A, H, and N.
A
Wi
6.0M
구.0 M
6.0M
H
5,0 M
6,0 m
9.0 m
Tuji mt
5.0m
14
in
1호
Transcribed Image Text:A grain silo is in equilibrium under the effect of a variable distributed wheat load and several forces as shown in the Figure. The silo has a gate for releasing the wheat into a rigid u-shape channel at G for dispensing the crop. The channel is connected to the silo by the hinge (or pin) at G and supported externally by the hinge (or pin) H. The silo is also supported by two rigid links (or pendulums) AB and LN. The acting loads are represented by three concentric forces F = 30 kN at K, F2 = 90 kN at D, and F = 40 kN at J, and a couple M = 300 kNm (clockwise) at C. The distributed load effect of the wheat is vertical acting between points C and G of the silo. The distributed load has a magnitude equal to wi = 250 kN/m between points C and E and decreases linearly to w2 = 80 kN/m when it reaches point G due to the releasing effect of the gate. The angles of forces F2 and F, with the horizontal line are 40° and 20°, respectively. F is horizontal. Do the following: 1. Draw the Free Body Diagram (FBD) of the structure. 2. Find the external reactions at A, H, and N. A Wi 6.0M 구.0 M 6.0M H 5,0 M 6,0 m 9.0 m Tuji mt 5.0m 14 in 1호
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