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. (c) Repeat parts (a) and (b) if a rotational spring (k, = 68 N·m) is added at A and the roller at C is removed. 1.5 m 1.5 m 200 N:m at joint A 180 N 14. 3 |D 74 N/m 37 N/m A } 3 m 530° 3 m B 3 m Remove roller Part (c) Pin connection at C in part (c) PROBLEM 1.3-5
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. (c) Repeat parts (a) and (b) if a rotational spring (k, = 68 N·m) is added at A and the roller at C is removed. 1.5 m 1.5 m 200 N:m at joint A 180 N 14. 3 |D 74 N/m 37 N/m A } 3 m 530° 3 m B 3 m Remove roller Part (c) Pin connection at C in part (c) PROBLEM 1.3-5
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 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.
(c) Repeat parts (a) and (b) if a rotational spring
(k, = 68 N·m) is added at A and the roller at C
is removed.
200 N:m at
1.5 m
1.5 m
joint A
74 N/m
180 N
37 N/m/ A4/D
14,
3 m
-X
В
3 m
3 m
J30°
Part (c)
Remove roller
Pin
connection
at C in part (c)
PROBLEM 1.3-5
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