Answered: 4kip /F Ikp/P A 18F4 12F+

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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Question

The overhangin beam is supported by a pin at A and roller at B. The beam supports the distributed load as shown. Use the direct integration method to determine the shear and moment formulas in each region of the beam.

Expert Solution

Step 1

Draw the free body diagram of the given beam as in Figure (1).

4 kip/ft
1 kip/ft
1 kip/ft
С
A
B TT
x
х
18 ft
12 ft
RB

Step 2

Determine the support reaction at point B taking moment at point A.

ΣΜ-0
30
Rx 18-1x30x-
1
-x 3x 30 x
x30
3
2 2
18 R3-450 900 = 0
R3 75k

Step 3

Determine the support reaction at point A using vertical equilibrium conditions.

ΣΕ-0
1
RiR3-1x30--x3x 30 0
2
R75 30 45 0

Step 4

Consider Region AB:

Consider a section x from the support A.

Determine the moment formula for the region AB.

dy
EI
AB)
1
3
XXXX
=-1xxx
2 230
3
;0 x18 ft
60

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