PL3 8 = 48EI where E is Young's modulus, and I is area moment of inertia. The following image shows two possible cross-sections for the beam: a plane rectangle and an I-beam. Rectangular beam I-beam H В The formula for I of the rectangle is 1 I = BH3 12 and the formulat for I of the I-beam is 1 I = 12 [ah³ + B(H³ – h³)] Assignment: Perform a calculation of 8 by hand, showing your work and the cancelation of units, for one value (each) of P, E , and I. Use the rectangular beam model and choose an appropriate value of P. Use L = 3 m, B = 4.5 cm, H = 8.9 cm and the Young's modulus of wood Efir = 10 GPa = 10 × 10° Pa %3D %3D Note: The values of B and H have been switched from the values used in HW 1. How does the orientation of the beam affect the deflection? In other words, how does the deflection change when B and H are switched? B.
PL3 8 = 48EI where E is Young's modulus, and I is area moment of inertia. The following image shows two possible cross-sections for the beam: a plane rectangle and an I-beam. Rectangular beam I-beam H В The formula for I of the rectangle is 1 I = BH3 12 and the formulat for I of the I-beam is 1 I = 12 [ah³ + B(H³ – h³)] Assignment: Perform a calculation of 8 by hand, showing your work and the cancelation of units, for one value (each) of P, E , and I. Use the rectangular beam model and choose an appropriate value of P. Use L = 3 m, B = 4.5 cm, H = 8.9 cm and the Young's modulus of wood Efir = 10 GPa = 10 × 10° Pa %3D %3D Note: The values of B and H have been switched from the values used in HW 1. How does the orientation of the beam affect the deflection? In other words, how does the deflection change when B and H are switched? B.
College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Question
![at its midpoint is
PL3
8 =
48EI
where E is Young's modulus, and I is area moment of inertia. The following image
shows two possible cross-sections for the beam: a plane rectangle and an I-beam.
Rectangular beam
I-beam
H
В
The formula for I of the rectangle is
1
=
BH3
12
and the formulat for I of the I-beam is
I =
12 lah3 + B(H³ – h³)]
Assignment: Perform a calculation of & by hand, showing your work and the cancelation of
units, for one value (each) of P, E , and I. Use the rectangular beam model and choose an
appropriate value of P. Use L = 3 m, B = 4.5 cm, H = 8.9 cm and the Young's modulus of
wood
Efir
= 10 GPa = 10 × 10° Pa
Note: The values of B and H have been switched from the values used in HW 1. How does
the orientation of the beam affect the deflection? In other words, how does the deflection
change when B and H are switched?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F529a7c45-0e22-44e5-9abb-b44e4825c342%2F451f9e78-5b1f-450c-ae73-635760fc15f9%2F0w3kbvc_processed.png&w=3840&q=75)
Transcribed Image Text:at its midpoint is
PL3
8 =
48EI
where E is Young's modulus, and I is area moment of inertia. The following image
shows two possible cross-sections for the beam: a plane rectangle and an I-beam.
Rectangular beam
I-beam
H
В
The formula for I of the rectangle is
1
=
BH3
12
and the formulat for I of the I-beam is
I =
12 lah3 + B(H³ – h³)]
Assignment: Perform a calculation of & by hand, showing your work and the cancelation of
units, for one value (each) of P, E , and I. Use the rectangular beam model and choose an
appropriate value of P. Use L = 3 m, B = 4.5 cm, H = 8.9 cm and the Young's modulus of
wood
Efir
= 10 GPa = 10 × 10° Pa
Note: The values of B and H have been switched from the values used in HW 1. How does
the orientation of the beam affect the deflection? In other words, how does the deflection
change when B and H are switched?
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