Q.2 An 8.0 m cantilever steel beam ABC sustains a point load of 100 kN at free end C and a uniformly distributed load (UDL) of 20.0 kN/m over the left half span AB, as shown in Figure Q.2. The stiffness of the beam is 1.5EI for the left half cross- section and El for the right half cross-section. Here the value of El is given as 400 x 10° kNm2. Using the Unit Load Method and the data given, determine at free end C (a) the value of the vertical deflection, and (b) the value of the slope. Hint: The point load and the uniformly distributed load can be considered separately. 100 kN MA 20 kN/m A 1.5EI El VA 4.0 m 4.0 m 8.0 m Figure Q.2 B.

Structural Analysis
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Chapter2: Loads On Structures
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Q.2 An 8.0 m cantilever steel beam ABC sustains a point load of 100 kN at free end
C and a uniformly distributed load (UDL) of 20.0 kN/m over the left half span AB,
as shown in Figure Q.2. The stiffness of the beam is 1.5E/ for the left half cross-
section and El for the right half cross-section. Here the value of El is given as
400 x 10° kNm2. Using the Unit Load Method and the data given, determine at
free end C
(a) the value of the vertical deflection, and
(b) the value of the slope.
Hint: The point load and the uniformly distributed load can be considered separately.
100 kN
MA
20 kN/m
A
1.5EI
El
VA
4.0 m
4.0 m
8.0 m
Figure Q.2
B.
Transcribed Image Text:Q.2 An 8.0 m cantilever steel beam ABC sustains a point load of 100 kN at free end C and a uniformly distributed load (UDL) of 20.0 kN/m over the left half span AB, as shown in Figure Q.2. The stiffness of the beam is 1.5E/ for the left half cross- section and El for the right half cross-section. Here the value of El is given as 400 x 10° kNm2. Using the Unit Load Method and the data given, determine at free end C (a) the value of the vertical deflection, and (b) the value of the slope. Hint: The point load and the uniformly distributed load can be considered separately. 100 kN MA 20 kN/m A 1.5EI El VA 4.0 m 4.0 m 8.0 m Figure Q.2 B.
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