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 x = 5 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). 80 N/m 200 N-m at joint D A D 4 m B\ 4 m ; 3 m Pin connection Part (c) PROBLEM 1.3-4

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 x = 5 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). 80 N/m 200 N-m at joint D A D 4 m B\ 4 m ; 3 m Pin connection Part (c) PROBLEM 1.3-4

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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Planar Stresses

Question

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
x = 5 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).
80 N/m
200 N-m at joint D
A
D
4 m
B\ 4 m
; 3 m
Pin
connection
Part (c)
PROBLEM 1.3-4

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