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Use equilibrium to verify the reactions. Using discontinuity functions from the Load col- umn of Table 5.2, write an expression for the in- tensity p(x) of the equivalent distributed load. In- clude the reactions in your expression for the equivalent load.

Use equilibrium to verify the reactions. Using discontinuity functions from the Load col- umn of Table 5.2, write an expression for the in- tensity p(x) of the equivalent distributed load. In- clude the reactions in your expression for the equivalent load.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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This is a mechanics of material question please show all steps clearly please show the given, what is to be found, and a free body diagram.
Prob. 5.5-3. A beam and its loading are shown in the referenced figure. For each of these problems: (a) Use equilibrium to verify the reactions. (b) Using discontinuity functions from the Load col- umn of Table 5.2, write an expression for the in- tensity p(x) of the equivalent distributed load. In- clude the reactions in your expression for the equivalent load. (c) Perform a term-by-term integration of the load expression to obtain a discontinuity-function ex- pression for the shear force V(x), and sketch a shear diagram like the one in Fig. 2b of Example Problem 5.10. Refer to the Shear column of Ta- ble 5.2. (d) Perform a term-by-term integration of the shear expression obtained in Part (c) to obtain a discon- tinuity-function expression for the moment M(x). Sketch a moment diagram like the one in Fig. 2c of Example Problem 5.10. Refer to the Moment column of Table 5.2. I kip -3 ft- X B, = -2 ft 2 kips C +2a+ 2 f 2 kips and D, D - 3 ft- 3 kips. E 2 kips 3 kip - ft
Transcribed Image Text:Prob. 5.5-3. A beam and its loading are shown in the referenced figure. For each of these problems: (a) Use equilibrium to verify the reactions. (b) Using discontinuity functions from the Load col- umn of Table 5.2, write an expression for the in- tensity p(x) of the equivalent distributed load. In- clude the reactions in your expression for the equivalent load. (c) Perform a term-by-term integration of the load expression to obtain a discontinuity-function ex- pression for the shear force V(x), and sketch a shear diagram like the one in Fig. 2b of Example Problem 5.10. Refer to the Shear column of Ta- ble 5.2. (d) Perform a term-by-term integration of the shear expression obtained in Part (c) to obtain a discon- tinuity-function expression for the moment M(x). Sketch a moment diagram like the one in Fig. 2c of Example Problem 5.10. Refer to the Moment column of Table 5.2. I kip -3 ft- X B, = -2 ft 2 kips C +2a+ 2 f 2 kips and D, D - 3 ft- 3 kips. E 2 kips 3 kip - ft
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