A box beam, ABC, is constructed of wooden boards and nails as shown in Fig6b. It is subjected to loads as shown in Fig.6a. End A is a fixed support. Oak wood has a young modulus of, E = 20 GPa. Determine, A 2 m B 4 kN/m 3 m |C 100 mm 30 mm 30 mm 30 mm 150 mm 250 mm 30 mm Fig. 6a Fig. 6b a) Construct Shear and Moment diagram and find the maximum Moment, Mmax and the maximum shear force, Vmax of the beam ABC b) Calculate the maximum normal stress and skate the normal stress distribution c) Determine the shear force acting on each nail if nails are placed at 100 mm. apart along the beam d) If nails are made of steel with the allowable shear stress of 85 MPa, determine the diameter of each nail. e) Suggest ways to 1) to increase the ability of the shaft to take higher forces and 2) reduce shear force acting on each nail.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
A box beam, ABC, is constructed of wooden boards and nails as shown in Fig6b. It is subjected to loads as
shown in Fig.6a. End A is a fixed support. Oak wood has a young modulus of, E = 20 GPa. Determine,
A
2 m
B
4 kN/m
3 m
|C
100 mm
30 mm
30 mm
30 mm
150 mm
250 mm 30 mm
Fig. 6a
Fig. 6b
a) Construct Shear and Moment diagram and find the maximum Moment, Mmax and the maximum shear force,
Vmax of the beam ABC
b) Calculate the maximum normal stress and skate the normal stress distribution
c) Determine the shear force acting on each nail if nails are placed at 100 mm. apart along the beam
d) If nails are made of steel with the allowable shear stress of 85 MPa, determine the diameter of each nail.
e) Suggest ways to 1) to increase the ability of the shaft to take higher forces and 2) reduce shear force
acting on each nail.
Transcribed Image Text:A box beam, ABC, is constructed of wooden boards and nails as shown in Fig6b. It is subjected to loads as shown in Fig.6a. End A is a fixed support. Oak wood has a young modulus of, E = 20 GPa. Determine, A 2 m B 4 kN/m 3 m |C 100 mm 30 mm 30 mm 30 mm 150 mm 250 mm 30 mm Fig. 6a Fig. 6b a) Construct Shear and Moment diagram and find the maximum Moment, Mmax and the maximum shear force, Vmax of the beam ABC b) Calculate the maximum normal stress and skate the normal stress distribution c) Determine the shear force acting on each nail if nails are placed at 100 mm. apart along the beam d) If nails are made of steel with the allowable shear stress of 85 MPa, determine the diameter of each nail. e) Suggest ways to 1) to increase the ability of the shaft to take higher forces and 2) reduce shear force acting on each nail.
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