@ The beam is loaded by its self-weight with intensity q. The length of the beam is 11.2 ft. Let E= 30,000 ksi. (Integrate the differential equation of the deflection curve. The beam has constant flexural rigidity EI.) (a) Calculate the reactions at joints A and B. (Assume the positive vertical direction is upward and the positive direction for moments is counterclockwise. Use the statics sign convention. Enter your forces in lb and your moment in lb-ft.) RA = lb RB = lb MA = lb-ft (b) Find the location of zero moment (other than at B) within span AB. (Enter your answer in feet. Assume x = 0 is at A and the +x-axis increases to the right.) x = ft (c) Calculate the maximum deflection of the beam (in inches) and the rotation at joint B (in radians). (Enter the magnitudes.) 8max = in. 8B = rad

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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A propped cantilever steel beam is constructed from a W12 x 35 section.
A
9
The beam is loaded by its self-weight with intensity q. The length of the beam is 11.2 ft. Let E = 30,000 ksi. (Integrate the differential equation of the deflection curve. The beam has constant flexural rigidity EI.)
(a) Calculate the reactions at joints A and B. (Assume the positive vertical direction is upward and the positive direction for moments is counterclockwise. Use the statics sign convention. Enter your forces in lb and your moment in lb-ft.)
RA =
lb
lb
RB =
MA =
lb-ft
x =
(b) Find the location of zero moment (other than at B) within span AB. (Enter your answer in feet. Assume x = 0 is at A and the +x-axis increases to the right.)
ft
(c) Calculate the maximum deflection of the beam (in inches) and the rotation at joint B (in radians). (Enter the magnitudes.)
8max =
in.
8 B =
rad
Transcribed Image Text:A propped cantilever steel beam is constructed from a W12 x 35 section. A 9 The beam is loaded by its self-weight with intensity q. The length of the beam is 11.2 ft. Let E = 30,000 ksi. (Integrate the differential equation of the deflection curve. The beam has constant flexural rigidity EI.) (a) Calculate the reactions at joints A and B. (Assume the positive vertical direction is upward and the positive direction for moments is counterclockwise. Use the statics sign convention. Enter your forces in lb and your moment in lb-ft.) RA = lb lb RB = MA = lb-ft x = (b) Find the location of zero moment (other than at B) within span AB. (Enter your answer in feet. Assume x = 0 is at A and the +x-axis increases to the right.) ft (c) Calculate the maximum deflection of the beam (in inches) and the rotation at joint B (in radians). (Enter the magnitudes.) 8max = in. 8 B = rad
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