Figure Q3a shows a simply supported beam AB with support reactions RA and RB. Two point loads F1 = 35 kN and F2 = 65 kN act at points C and D, respectively. The distance AC is L1 = 2.25 m; the distance CD is L2 = 3.25 m; and the distance DB is L3 = 1.50 m. F1 F2 B C RA RB L1 L2 L3 Figure Q3a a) Calculate the reactions RA and RB at points A & B. Give your answers in kilonewtons (kN) to two decimal places. b) Draw the shear force diagram (SFD) for the beam in Figure Q3a and clearly label values at points A, B, C & D. Label your values in kilonewtons (kN) to two decimal places. c) Draw the bending moment diagram (BMD) for the beam shown in Figure Q3a and label values at points A, B, C & D. Label your values in kilonewton metres (kNm) to two decimal places.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Question 3
Figure Q3a shows a simply supported beam AB with support reactions RA and RB. Two
point loads F; = 35 kN and F2 = 65 kN act at points C and D, respectively. The distance
AC is L1 = 2.25 m; the distance CD is L2 = 3.25 m; and the distance DB is L3 = 1.50 m.
F1
F2
RA
RB
L1
L2
L3
Figure Q3a
a) Calculate the reactions RA and RB at points A & B. Give your answers in kilonewtons
(kN) to two decimal places.
b) Draw the shear force diagram (SFD) for the beam in Figure Q3a and clearly label values
at points A, B, C & D. Label your values in kilonewtons (kN) to two decimal places.
c) Draw the bending moment diagram (BMD) for the beam shown in Figure Q3a and label
values at points A, B, C & D. Label your values in kilonewton metres (kNm) to two
decimal places.
Question 3 continues on the next page.
MacBook Air
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Transcribed Image Text:Question 3 Figure Q3a shows a simply supported beam AB with support reactions RA and RB. Two point loads F; = 35 kN and F2 = 65 kN act at points C and D, respectively. The distance AC is L1 = 2.25 m; the distance CD is L2 = 3.25 m; and the distance DB is L3 = 1.50 m. F1 F2 RA RB L1 L2 L3 Figure Q3a a) Calculate the reactions RA and RB at points A & B. Give your answers in kilonewtons (kN) to two decimal places. b) Draw the shear force diagram (SFD) for the beam in Figure Q3a and clearly label values at points A, B, C & D. Label your values in kilonewtons (kN) to two decimal places. c) Draw the bending moment diagram (BMD) for the beam shown in Figure Q3a and label values at points A, B, C & D. Label your values in kilonewton metres (kNm) to two decimal places. Question 3 continues on the next page. MacBook Air DI DD 80 F10 F11 F7 F8 F9 F6 F2 F3 F4 F5 * $ & 3 # 4 5 6 7 R Y U * CO
d) Determine the centroid coordinates (x , ỹ) for the solid and homogeneous beam section
shown in Figure Q3b. The dimensions for the section are as follows:
Y-axis dimensions: a = 75.00 mm, b = 25.00 mm and c = 32.00 mm.
X-axis dimensions: d = 20.00 mm, e = 35.00 mm and f= 65.00 mm.
Give the (x, ỹ) coordinates relative to the origin (O) as shown in Figure Q1b in
millimetres (mm) to two decimal places.
y
a
C
d.
e
f
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Transcribed Image Text:d) Determine the centroid coordinates (x , ỹ) for the solid and homogeneous beam section shown in Figure Q3b. The dimensions for the section are as follows: Y-axis dimensions: a = 75.00 mm, b = 25.00 mm and c = 32.00 mm. X-axis dimensions: d = 20.00 mm, e = 35.00 mm and f= 65.00 mm. Give the (x, ỹ) coordinates relative to the origin (O) as shown in Figure Q1b in millimetres (mm) to two decimal places. y a C d. e f MacBook Air DII DD 80 F10 F9 F7 F8 F5 F6 F3 F4 * & $ 7 8 3 # 4 E R Y U < CO
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