A wood beam ABC with simple supports at A and B and an overhang BC has height h = 300 mm (see figure). 3P PL M = A 300 mm The length of the main span of the beam is L = 3.3 m and the length of the overhang is L/3 = 1.1 m. The beam supports a concentrated load 3P = 54.0 kN at the midpoint of the main span and a moment PL/2 = 29.7 kN • m at the free end of the overhang. The wood has a weight density y = 5.5 kN/m³. (a) Determine the required width b (in mm) of the beam based upon an allowable bending stress of 8.2 MPa. mm (b) Determine the required width (in mm) based upon an allowable shear stress of 0.7 MPa. mm
A wood beam ABC with simple supports at A and B and an overhang BC has height h = 300 mm (see figure). 3P PL M = A 300 mm The length of the main span of the beam is L = 3.3 m and the length of the overhang is L/3 = 1.1 m. The beam supports a concentrated load 3P = 54.0 kN at the midpoint of the main span and a moment PL/2 = 29.7 kN • m at the free end of the overhang. The wood has a weight density y = 5.5 kN/m³. (a) Determine the required width b (in mm) of the beam based upon an allowable bending stress of 8.2 MPa. mm (b) Determine the required width (in mm) based upon an allowable shear stress of 0.7 MPa. mm
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![1. [-/16.66 Points]
DETAILS
GGMECHMAT9 5.8.014.
MY NOTES
ASK YOUR TEACHER
A wood beam ABC with simple supports at A and B and an overhang BC has height h = 300 mm (see figure).
3P
PL
M =
h =
300 mm
B
The length of the main span of the beam is L = 3.3 m and the length of the overhang is L/3 = 1.1 m. The beam supports a concentrated load 3P = 54.0 kN at the midpoint of the main span and a moment PL/2 = 29.7 kN • m at the free
end of the overhang. The wood has a weight density y = 5.5 kN/m³.
(a) Determine the required width b (in mm) of the beam based upon an allowable bending stress of 8.2 MPa.
mm
(b) Determine the required width (in mm) based upon an allowable shear stress of 0.7 MPa.
mm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0b4f1db-c8b8-4bc3-aa99-ae86cd2bf644%2F9fbc2293-d0d2-42f3-9da0-3c98cf9ec592%2Fy8isyvl_processed.png&w=3840&q=75)
Transcribed Image Text:1. [-/16.66 Points]
DETAILS
GGMECHMAT9 5.8.014.
MY NOTES
ASK YOUR TEACHER
A wood beam ABC with simple supports at A and B and an overhang BC has height h = 300 mm (see figure).
3P
PL
M =
h =
300 mm
B
The length of the main span of the beam is L = 3.3 m and the length of the overhang is L/3 = 1.1 m. The beam supports a concentrated load 3P = 54.0 kN at the midpoint of the main span and a moment PL/2 = 29.7 kN • m at the free
end of the overhang. The wood has a weight density y = 5.5 kN/m³.
(a) Determine the required width b (in mm) of the beam based upon an allowable bending stress of 8.2 MPa.
mm
(b) Determine the required width (in mm) based upon an allowable shear stress of 0.7 MPa.
mm
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