Using the Castigliano's Theorem, determine the displacements at the free end of the beam shown in the figure. Modulus of Elasticity E = 29 x 10⁶ psi, and Area Moment of Inertia I = 4250 in². a. Determine the vertical deflection at C (in inch). Use negative sign if the deflection is downward. Include the unit of measurement. Use 3 decimal places only. b. Determine the slope at C (in radians). Use negative sign if the slope is counter clockwise. Include the unit of measurement. Use 5 decimal places only.
Using the Castigliano's Theorem, determine the displacements at the free end of the beam shown in the figure. Modulus of Elasticity E = 29 x 10⁶ psi, and Area Moment of Inertia I = 4250 in². a. Determine the vertical deflection at C (in inch). Use negative sign if the deflection is downward. Include the unit of measurement. Use 3 decimal places only. b. Determine the slope at C (in radians). Use negative sign if the slope is counter clockwise. Include the unit of measurement. Use 5 decimal places only.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Using the Castigliano's Theorem, determine the displacements at the free end of the beam shown in the figure. Modulus of Elasticity E = 29 x 10⁶ psi, and Area Moment of Inertia I = 4250 in².
a. Determine the vertical deflection at C (in inch). Use negative sign if the deflection is downward. Include the unit of measurement. Use 3 decimal places only.
b. Determine the slope at C (in radians). Use negative sign if the slope is counter clockwise. Include the unit of measurement. Use 5 decimal places only.
![Using the Castigliano's Theorem, determine the displacements at the free end of the beam shown in the
figure. Modulus of Elasticity E = 29 x 106 psi, and Area Moment of Inertia I = 4250 in?.
4 kip/ft
A
B
E = 29 x 10° psi
I= 4250 in?
15 ft
30 ft
45 ft
15 ft
а.
Determine the vertical deflection at C (in inch). Use negative sign if the deflection is downward.
Include the unit of measurement. Use 3 decimal places only.
b. Determine the slope at C (in radians). Use negative sign if the slope is counter clockwise. Include
the unit of measurement. Use 5 decimal places only.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50db7263-b469-4e27-873f-a380ff4a9b19%2F787afcb2-86b0-4ad9-8c7c-25fc9a9add79%2Fzd1rgoo_processed.png&w=3840&q=75)
Transcribed Image Text:Using the Castigliano's Theorem, determine the displacements at the free end of the beam shown in the
figure. Modulus of Elasticity E = 29 x 106 psi, and Area Moment of Inertia I = 4250 in?.
4 kip/ft
A
B
E = 29 x 10° psi
I= 4250 in?
15 ft
30 ft
45 ft
15 ft
а.
Determine the vertical deflection at C (in inch). Use negative sign if the deflection is downward.
Include the unit of measurement. Use 3 decimal places only.
b. Determine the slope at C (in radians). Use negative sign if the slope is counter clockwise. Include
the unit of measurement. Use 5 decimal places only.
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