1. Given: A structure shown below Find: (1) Determine the magnitudes and locations of the two distributed loadings. In other words, determine the magnitude and location of the loading between A and C, and those of the loading between D and B. (2) For the member DEB, (a) take the moment at B and find the reaction at E and (b) then find By by either EF,= 0, or EMp=0. (Recall that support conditions at B and E are rollers, so there are no reactions in x-direction.) (3) For the whole structure, 3 unknown forces and moment at A (A, A, and Ma) are the only unknowns. Determine those 3 unknowns at A. 900 N/m 900 N/m C |D - E - 3 m -→- 3 m →- -- 3 m -- 3 m -| 4 m -

1. Given: A structure shown below Find: (1) Determine the magnitudes and locations of the two distributed loadings. In other words, determine the magnitude and location of the loading between A and C, and those of the loading between D and B. (2) For the member DEB, (a) take the moment at B and find the reaction at E and (b) then find By by either EF,= 0, or EMp=0. (Recall that support conditions at B and E are rollers, so there are no reactions in x-direction.) (3) For the whole structure, 3 unknown forces and moment at A (A, A, and Ma) are the only unknowns. Determine those 3 unknowns at A. 900 N/m 900 N/m C |D - E - 3 m -→- 3 m →- -- 3 m -- 3 m -| 4 m -

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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Concept explainers

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

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1. Given: A structure shown below
Find: (1) Determine the magnitudes and locations of the two distributed loadings. In
other words, determine the magnitude and location of the loading between A and C,
and those of the loading between D and B.
(2) For the member DEB, (a) take the moment at B and find the reaction at E and (b)
then find By by either Fy= 0, or EMp = 0. (Recall that support conditions at B and
E are rollers, so there are no reactions in x-direction.)
(3) For the whole structure, 3 unknown forces and moment at A (Ax, Ay and Ma) are
the only unknowns. Determine those 3 unknowns at A.
900 N/m
900 N/m
B
A
C
D
2E
- 3 m 3 m -
4 m -
3 m3 m-

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