1.3-4 Segments AB and BCD of beam ABCD are pin connected at x = 4 m. The beam is supported by a sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of 80 N/m acts on BC. A concentrated moment is applied at joint D. (a) Find reactions at supports A, C, and D. (b) Find internal stress resultants N, V, and M at x5 m (c) Repeat parts (a) and (b) for the case of the roller support at C replaced by a linear spring of stiff- ness k, 200 kN/m (see figure). auoss 200 N.m at joint D 80 N/m C D A C ky 3 m B 4 m 1 4 m Part (c) 7 Pin connection X PROBLEM 1.3-4

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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How do I approach part c? Would the reaction at C not depend on where the spring is mounted and therefore how much it is compressed?

1.3-4 Segments AB and BCD of beam ABCD are
pin connected at x = 4 m. The beam is supported by
a sliding support at A and roller supports at C and
D (see figure). A triangularly distributed load with
peak intensity of 80 N/m acts on BC. A concentrated
moment is applied at joint D.
(a) Find reactions at supports A, C, and D.
(b) Find internal stress resultants N, V, and M at
x5 m
(c) Repeat parts (a) and (b) for the case of the roller
support at C replaced by a linear spring of stiff-
ness k, 200 kN/m (see figure).
auoss
200 N.m at joint D
80 N/m
C
D
A
C
ky
3 m
B 4 m
1
4 m
Part (c)
7
Pin
connection
X
PROBLEM 1.3-4
Transcribed Image Text:1.3-4 Segments AB and BCD of beam ABCD are pin connected at x = 4 m. The beam is supported by a sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of 80 N/m acts on BC. A concentrated moment is applied at joint D. (a) Find reactions at supports A, C, and D. (b) Find internal stress resultants N, V, and M at x5 m (c) Repeat parts (a) and (b) for the case of the roller support at C replaced by a linear spring of stiff- ness k, 200 kN/m (see figure). auoss 200 N.m at joint D 80 N/m C D A C ky 3 m B 4 m 1 4 m Part (c) 7 Pin connection X PROBLEM 1.3-4
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