A cantilever wood beam consists of eight 2 in. thick planks glued together to form a cross section that is 16 in. deep. Each plank has awidth of b = 6.7 in. The cantilever beam has a length of L = 7.3 ft and it supports a concentrated load of P = 3600 lb.(a) Calculate the magnitude of the horizontal shear stress at points A, B, C, and D.(b) From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam.A2 in. (typ)yB16 in.LbAnswer:ТАpsiTR =ipsiTc =psiIp =ipsi

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A cantilever wood beam consists of eight 2 in. thick planks glued together to form a cross section that is 16 in. deep. Each plank has a width of b = 6.7 in. The cantilever beam has a length of L = 7.3 ft and it supports a concentrated load of P = 360O Ib. (a) Calculate the magnitude of the horizontal shear stress at points A, B, C, and D. (b) From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam. • A 2 in. (typ) B •C 16 in. L b Answer: TA = i psi TB = i psi Tc = i psi Tp = i psi

A cantilever wood beam consists of eight 2 in. thick planks glued together to form a cross section that is 16 in. deep. Each plank has a width of b = 6.7 in. The cantilever beam has a length of L = 7.3 ft and it supports a concentrated load of P = 360O Ib. (a) Calculate the magnitude of the horizontal shear stress at points A, B, C, and D. (b) From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam. • A 2 in. (typ) B •C 16 in. L b Answer: TA = i psi TB = i psi Tc = i psi Tp = i psi

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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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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A cantilever wood beam consists of eight 2 in. thick planks glued together to form a cross section that is 16 in. deep. Each plank has a
width of b = 6.7 in. The cantilever beam has a length of L = 7.3 ft and it supports a concentrated load of P = 3600 lb.
(a) Calculate the magnitude of the horizontal shear stress at points A, B, C, and D.
(b) From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam.
A
2 in. (typ)
y
B
16 in.
L
b
Answer:
ТА
psi
TR =
i
psi
Tc =
psi
Ip =
i
psi

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