A flanged wooden shape is used to support the loads shown. The dimensions of the shape are shown. Consider the entire 16 ft length of the beam, and determine a) Calculate the inertia (b) Sketch the shear and moment diagram for this beam (c) the maximum tensile bending stress in the beam (sketch the bending stress distribution at this section and show detailed calculations) (d) the maximum compressive bending stress in the beam (sketch the bending stress distribution at chis section and show detailed calculations)) (e) the maximum shear stress in the beam and (sketch the shear stress distribution and show the calculations) 4 in. 1 in. 2 kips 2.2 kips (1) 1 in. 1 kip/ft 7 in. 12 (2) 10 in. 5 in. (3) В D E 6 ft 3 ft 3ft 4 ft 8 in. 1 in.

Given data; Shear and moment diagram: moment diagram from AB is parabola.Maximum compressive stress: As we can see in BMD maximum moment is 9.12 kips-ft occur at 4.27 ft from support A. top part of this section will experience compression and bottom tension. MI=fcYfc=MI×yM=9.12 kips-ft=9.12×1000×12 lb-inI=425.33 in4fc=9.12×1000×12425.33×7fc=9.12×1000×12425.33×7fc=1801.14 lb/in2 Stress distribution: at 4.27 ft from support A.Maximum shear stress: Maximum shear force is at support A. V=4.27 kips τ=VAYIbV is shaer forceA is area either above or below the section considerdY distance of centroid of an area A from neutral axis.b is width of beam at section I moment of inertia. Maximum shear stress for I section will occur at Neutral axis. τ=VAYIbτ=VA1Y1+A2Y2Ibτmax=4.27×103×4×1×6.5+6×1×3425.33×1τmax=441.73 lb/in2

Answered: A flanged wooden shape is used to support the loads shown. The dimensions of the shape are shown. Consider the entire 16 ft length of the beam, and determine a)…

Structural Analysis

6th Edition

ISBN: 9781337630931

Author: KASSIMALI, Aslam.

Publisher: Cengage,

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Please answer d and e

A flanged wooden shape is used to support the loads shown. The dimensions of the shape are
shown. Consider the entire 16 ft length of the beam, and determine
(a) Calculate the inertia
(b) Sketch the shear and moment diagram for this beam
(c) the maximum tensile bending stress in the beam (sketch the bending stress distribution at this
section and show detailed calculations)
(d) the maximum compressive bending stress in the beam (sketch the bending stress distribution at
this section and show detailed calculations))
(e) the maximum shear stress in the beam and (sketch the shear stress distribution and show the
calculations)
4 in.
1 in.
2 kips
2.2 kips
(1)
1 in.
1 kip/ft
7 in.
12 in.
10 in.
5 in.
(3)
В
|C
D
E
6 ft
3 ft
3ft
.4 ft
8 in.
1 in.

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