Q4. A beam carries a concentrated load, W kN and 2W kN at point A and at point C, respectively as shown in Figure Q4(a). Figure Q4(b) shows the crosssectional view of the beam. The moment of inertia of the cross-section to the x-axis is Ix = 56.27 x 106 mm4. (a) (b) (c) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam in terms of W. What is the safe value of W, can be applied to the beam if the allowable bending stress in tension is 60 N/mm² and allowable bending stress in compression is 100 N/mm². By using the value of W obtained from Q4(b), determine the maximum shear stress of the beam at the maximum shear force. FIGURE Q4(a) W KN A B 2 m +2m² + 71 mm 129 mm 4 m 2W KN 175 mm 4 m D 50 mm Neutral axis FIGURE Q4(b)
Q4. A beam carries a concentrated load, W kN and 2W kN at point A and at point C, respectively as shown in Figure Q4(a). Figure Q4(b) shows the crosssectional view of the beam. The moment of inertia of the cross-section to the x-axis is Ix = 56.27 x 106 mm4. (a) (b) (c) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam in terms of W. What is the safe value of W, can be applied to the beam if the allowable bending stress in tension is 60 N/mm² and allowable bending stress in compression is 100 N/mm². By using the value of W obtained from Q4(b), determine the maximum shear stress of the beam at the maximum shear force. FIGURE Q4(a) W KN A B 2 m +2m² + 71 mm 129 mm 4 m 2W KN 175 mm 4 m D 50 mm Neutral axis FIGURE Q4(b)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Q4. A beam carries a concentrated load, W kN and 2W kN at point A and at point C,
respectively as shown in Figure Q4(a). Figure Q4(b) shows the crosssectional view of
the beam. The moment of inertia of the cross-section to the x-axis is Ix = 56.27 x 106
mm4.
(a)
(b)
(c)
Draw the shear force diagram (SFD) and bending moment diagram (BMD) of
the beam in terms of W.
What is the safe value of W, can be applied to the beam if the allowable bending
stress in tension is 60 N/mm² and allowable bending stress in compression is
100 N/mm².
By using the value of W obtained from Q4(b), determine the maximum shear
stress of the beam at the maximum shear force.
FIGURE Q4(a)
W KN
A
B
2 m
+2m² +
71 mm
129 mm
4 m
2W KN
175 mm
4 m
D
50 mm
Neutral axis
FIGURE Q4(b)
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