A wood beam ABC with simple supports at A and Band an overhang BC has height h = 250 mm (see figure). The length of the main span of the beam is L = 3.9 m and the length of the L = 1.3 m. The beam supports a concentrated load 3P = 18 kN at the midpoint of the main span and a moment PL = 11.7 kN -m at the free end of the overhang. The 2 overhang is wood has weight density y = 5.1 kN/m³. 3P PL M = = 250 mm B (a) Determine the required width bof the beam based upon an allowable bending stress of 8.2 MPa. Round to one decimal place. mm (b) Determine the required width based upon an allowable shear stress of 0.7 MPa. Round to one decimal place. mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A wood beam  with simple supports at  and  and an overhang  has height  (see figure). The length of the main span of the beam is  and the length of the overhang is  . The beam supports a concentrated load  at the midpoint of the main span and a moment  at the free end of the overhang. The wood has weight density 

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A wood beam ABC with simple supports at A and B and an overhang BC has height h = 250 mm (see figure). The length of the main span of the beam is L = 3.9 m and the length of the
PL
= 1.3 m. The beam supports a concentrated load 3P = 18 kN at the midpoint of the main span and a moment
2
= 11.7 kN · m at the free end of the overhang. The
overhang is
3
wood has weight density y = 5.1 kN/m3.
3P
PL
M%3D
h= 250 mm
B
(a) Determine the required width bof the beam based upon an allowable bending stress of 8.2 MPa. Round to one decimal place.
mm
(b) Determine the required width based upon an allowable shear stress of 0.7 MPa. Round to one decimal place.
b =
mm
Transcribed Image Text:Check My Work A wood beam ABC with simple supports at A and B and an overhang BC has height h = 250 mm (see figure). The length of the main span of the beam is L = 3.9 m and the length of the PL = 1.3 m. The beam supports a concentrated load 3P = 18 kN at the midpoint of the main span and a moment 2 = 11.7 kN · m at the free end of the overhang. The overhang is 3 wood has weight density y = 5.1 kN/m3. 3P PL M%3D h= 250 mm B (a) Determine the required width bof the beam based upon an allowable bending stress of 8.2 MPa. Round to one decimal place. mm (b) Determine the required width based upon an allowable shear stress of 0.7 MPa. Round to one decimal place. b = mm
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