With the following structures, check whether they are determinate or indeterminate, stable or unstable, and without doing any calculation, sketch to show the shear force diagram, the bending moment diagram, and the deflection curve of the following structures. In the bending moment diagram, indicate which side is in tension, and which side is in compression. If the shape is nonlinear, indicate the order of the equation (e.g., parabola 2nd order), also indicate where the maximum moment and maximum deflection might occur. (a) a simply-supported beam with a pinned support at A and a roller at B subjected to a uniform load and a point load as shown. w (kN/m) P A C D 4m 2m 8m B (b) a two-span beam with a fixed support at A, a roller at B and at C, and an internal hinge at E, subjected to a uniform load and an applied moment at C w (kN/m) A 4m E hinge B 6m 6m C M (c) a frame ABC with a cantilever CD; a pinned support at A and a roller at C, subjected to a uniform load on member BC, a linear load on member CD, and a point load at D. 4m B P (kN) W2 (kN/m) W₁ (kN/m) A 6m 3m D (d) a frame with a fixed support at A, a roller at C and at D, an internal hinge at E, and a cantilever DF, subjected to a uniform load B 4m W (kN/m) • E D hinge A 4m 4m 3m
With the following structures, check whether they are determinate or indeterminate, stable or unstable, and without doing any calculation, sketch to show the shear force diagram, the bending moment diagram, and the deflection curve of the following structures. In the bending moment diagram, indicate which side is in tension, and which side is in compression. If the shape is nonlinear, indicate the order of the equation (e.g., parabola 2nd order), also indicate where the maximum moment and maximum deflection might occur. (a) a simply-supported beam with a pinned support at A and a roller at B subjected to a uniform load and a point load as shown. w (kN/m) P A C D 4m 2m 8m B (b) a two-span beam with a fixed support at A, a roller at B and at C, and an internal hinge at E, subjected to a uniform load and an applied moment at C w (kN/m) A 4m E hinge B 6m 6m C M (c) a frame ABC with a cantilever CD; a pinned support at A and a roller at C, subjected to a uniform load on member BC, a linear load on member CD, and a point load at D. 4m B P (kN) W2 (kN/m) W₁ (kN/m) A 6m 3m D (d) a frame with a fixed support at A, a roller at C and at D, an internal hinge at E, and a cantilever DF, subjected to a uniform load B 4m W (kN/m) • E D hinge A 4m 4m 3m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
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please read all of the steps and see the image for the diagram of the question!. This unit is structural analysis!. And I'm very new to it. Please help me solve this question and give me step by step guide. Appreciate your time!. Also on occasions I get wrong answers. And poor working out! . Hence, with that thanks for your time and please provide in-depth working out /whatever the question asks. Please teach me step by step how to draw bending moment, shear force and deflection curve. These are completely new to me!. Appreciate it !!
Transcribed Image Text:With the following structures, check whether they are determinate or indeterminate, stable or unstable, and
without doing any calculation, sketch to show the shear force diagram, the bending moment diagram, and
the deflection curve of the following structures. In the bending moment diagram, indicate which side is in
tension, and which side is in compression. If the shape is nonlinear, indicate the order of the equation (e.g.,
parabola 2nd order), also indicate where the maximum moment and maximum deflection might occur.
(a) a simply-supported beam with a pinned support at A and a roller at B subjected to a uniform load and a
point load as shown.
w (kN/m)
P
A
C
D
4m
2m
8m
B
(b) a two-span beam with a fixed support at A, a roller at B and at C, and an internal hinge at E, subjected
to a uniform load and an applied moment at C
w (kN/m)
A
4m
E
hinge B
6m
6m
C
M
(c) a frame ABC with a cantilever CD; a pinned support at A and a roller at C, subjected to a uniform load
on member BC, a linear load on member CD, and a point load at D.
4m
B
P (kN)
W2 (kN/m)
W₁ (kN/m)
A
6m
3m
D
(d) a frame with a fixed support at A, a roller at C and at D, an internal hinge at E, and a cantilever DF,
subjected to a uniform load
B
4m
W (kN/m)
•
E
D
hinge
A
4m
4m
3m
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