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.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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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