A 13.8-ft-long simply supported timber beam carries a 6.2-kip concentrated load at midspan. The cross-sectional dimensions of the timber are shown in the second figure. Assume L = 6.9 ft, x = 2.6 ft, a = 3.2 in., b = 6.8 in., c = 1.2 in, and d = 14 in. (a) At section a-a, determine the magnitude of the shear stress TH in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress Tk in the beam at point K. (c) Determine the maximum horizontal shear stress Tmax that occurs in the beam at any location within the 13.8-ft span length. (d) Determine the maximum tension bending stress max that occurs in the beam at any location within the 13.8-ft span length. y Answers: (a) TH= (b) TK = (c) Tmax= (d) gmax= i i x i i a L P B psi. psi. psi. psi. L C X a C H K b

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A 13.8-ft-long simply supported timber beam carries a 6.2-kip concentrated load at midspan. The cross-sectional dimensions of the
timber are shown in the second figure. Assume L = 6.9 ft, x = 2.6 ft, a = 3.2 in., b = 6.8 in., c = 1.2 in, and d = 14 in.
(a) At section a-a, determine the magnitude of the shear stress TH in the beam at point H.
(b) At section a-a, determine the magnitude of the shear stress TK in the beam at point K.
(c) Determine the maximum horizontal shear stress Tmax that occurs in the beam at any location within the 13.8-ft span length.
(d) Determine the maximum tension bending stress max that occurs in the beam at any location within the 13.8-ft span length.
Answers:
(a) TH=
(b) TK =
(c) Tmax
(d) gmax=
i
i
x
i
a
L
P
B
psi.
psi.
psi.
psi.
L
X
a
Z
↓
с
H
K
b
Transcribed Image Text:A 13.8-ft-long simply supported timber beam carries a 6.2-kip concentrated load at midspan. The cross-sectional dimensions of the timber are shown in the second figure. Assume L = 6.9 ft, x = 2.6 ft, a = 3.2 in., b = 6.8 in., c = 1.2 in, and d = 14 in. (a) At section a-a, determine the magnitude of the shear stress TH in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress TK in the beam at point K. (c) Determine the maximum horizontal shear stress Tmax that occurs in the beam at any location within the 13.8-ft span length. (d) Determine the maximum tension bending stress max that occurs in the beam at any location within the 13.8-ft span length. Answers: (a) TH= (b) TK = (c) Tmax (d) gmax= i i x i a L P B psi. psi. psi. psi. L X a Z ↓ с H K b
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