1.3-5 Segments AB and BCD of beam ABCD are pin connected at x = 3 m. The beam is supported by a pin support at A and roller supports at C and D; the roller at D is rotated by 30° from the x axis (see figure). A trapezoidal distributed load on BC varies in intensity from 74 N/m at B to 37 N/m at C. A con- centrated moment is applied at joint A, and a 180 N inclined load is applied at the mid-span of CD. (a) Find reactions at supports A, C, and D. (b) Find the resultant force in the pin connection at B.
1.3-5 Segments AB and BCD of beam ABCD are pin connected at x = 3 m. The beam is supported by a pin support at A and roller supports at C and D; the roller at D is rotated by 30° from the x axis (see figure). A trapezoidal distributed load on BC varies in intensity from 74 N/m at B to 37 N/m at C. A con- centrated moment is applied at joint A, and a 180 N inclined load is applied at the mid-span of CD. (a) Find reactions at supports A, C, and D. (b) Find the resultant force in the pin connection at B.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1.3-5
Segments AB and BCD of beam A BCD are
pin connected at x = 3 m. The beam is supported by
a pin support at A and roller supports at C and D;
the roller at D is rotated by 30° from the x axis (see
figure). A trapezoidal distributed load on BC varies
in intensity from 74 N/m at B to 37 N/m at C. A con-
centrated moment is applied at joint A, and a 180 N
inclined load is applied at the mid-span of CD.
(a) Find reactions at supports A, C, and D.
(b) Find the resultant force in the pin connection at B.
(c) Repeat parts (a) and (b) if a rotational spring
(k,
is removed.
= 68 N m) is added at A and the roller at C
200 N·m at
1.5 m
1.5 m
joint A
180 N
74 N/m
37 N/m
4
30°
3 m
3 m
3 m
Part (c)
Remove roller
Pin
connection
at C in part (c)
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