Q.2 A 6.0 m cantilever steel beam ABC sustains a point load of 150 kN at free end C and a uniformly distributed load (UDL) of 30.0 kN/m over the left half span AB, as shown in Figure Q.2. The stiffness of the beam is 2EI for the left half cross-section and El for the right half cross-section. Here the value of El is given as 300 x 10° kNm?. 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. Note: Alternate unit load methods are all permitted, e.g. (i) conducting direct mathematical integration, or (ii) using bending moment diagram product integral, or (iii) adopting product integral coefficients. Hint: The point load and the uniformly distributed load can be considered separately. 150 kN MA 30 kN/m El 2EI VA 3.0 m 3.0 m 6.0 m
Q.2 A 6.0 m cantilever steel beam ABC sustains a point load of 150 kN at free end C and a uniformly distributed load (UDL) of 30.0 kN/m over the left half span AB, as shown in Figure Q.2. The stiffness of the beam is 2EI for the left half cross-section and El for the right half cross-section. Here the value of El is given as 300 x 10° kNm?. 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. Note: Alternate unit load methods are all permitted, e.g. (i) conducting direct mathematical integration, or (ii) using bending moment diagram product integral, or (iii) adopting product integral coefficients. Hint: The point load and the uniformly distributed load can be considered separately. 150 kN MA 30 kN/m El 2EI VA 3.0 m 3.0 m 6.0 m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Q.2 A 6.0 m cantilever steel beam ABC sustains a point load of 150 kN at free
end C and a uniformly distributed load (UDL) of 30.0 kN/m over the left
half span AB, as shown in Figure Q.2. The stiffness of the beam is 2EI for
the left half cross-section and El for the right half cross-section. Here the
value of El is given as 300 x 10° kNm?. 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.
Note: Alternate unit load methods are all permitted, e.g.
(i) conducting direct mathematical integration, or
(ii) using bending moment diagram product integral, or
(iii) adopting product integral coefficients.
Hint: The point load and the uniformly distributed load can be considered
separately.
150 kN
30 kN/m
B
El
2EI
3.0 m
3.0 m
6.0 m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80be5e8d-1d52-4f3f-b244-14724e121de1%2F4304fc73-38e4-4e3e-8a2d-6d1537c8e478%2Fy6lp2do_processed.png&w=3840&q=75)
Transcribed Image Text:Q.2 A 6.0 m cantilever steel beam ABC sustains a point load of 150 kN at free
end C and a uniformly distributed load (UDL) of 30.0 kN/m over the left
half span AB, as shown in Figure Q.2. The stiffness of the beam is 2EI for
the left half cross-section and El for the right half cross-section. Here the
value of El is given as 300 x 10° kNm?. 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.
Note: Alternate unit load methods are all permitted, e.g.
(i) conducting direct mathematical integration, or
(ii) using bending moment diagram product integral, or
(iii) adopting product integral coefficients.
Hint: The point load and the uniformly distributed load can be considered
separately.
150 kN
30 kN/m
B
El
2EI
3.0 m
3.0 m
6.0 m
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