the normal stresses 01, 0z in bars (1) and (2). the vertical deflection vp of the rigid bar at D (positive if down, negative if u
the normal stresses 01, 0z in bars (1) and (2). the vertical deflection vp of the rigid bar at D (positive if down, negative if u
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 219 GPa, a = 11.2 x 10-6/°C]
with a cross-sectional area of A1 = 470 mm?. Bar (2) is an aluminum alloy [E = 74 GPa, a = 22 x 10-6/°C] with a cross-sectional area of
A2 = 280 mm?. The bars are unstressed when the structure is assembled. Assume L=790 mm, a= 310 mm, b=630 mm, c=790 mm, and
P=44 kN. Aftera concentrated load of P = 44 kN is applied and the temperature is decreased by 71°C, determine:
(a) the normal stresses o1, 0, in bars (1) and (2).
(b) the vertical deflection vp of the rigid bar at D (positive if down, negative if up).
A
(1)
(2)
P
Answers:
(a) o1 =
i
MPa, o2 =
i
MPa.
(b) VD = i
mm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69e89580-99d5-4f64-aae7-05595c51615c%2F655d36f4-5c5e-4795-a9f2-992ef5be62f2%2Fqdutse_processed.png&w=3840&q=75)
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Current Attempt in Progress
The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 219 GPa, a = 11.2 x 10-6/°C]
with a cross-sectional area of A1 = 470 mm?. Bar (2) is an aluminum alloy [E = 74 GPa, a = 22 x 10-6/°C] with a cross-sectional area of
A2 = 280 mm?. The bars are unstressed when the structure is assembled. Assume L=790 mm, a= 310 mm, b=630 mm, c=790 mm, and
P=44 kN. Aftera concentrated load of P = 44 kN is applied and the temperature is decreased by 71°C, determine:
(a) the normal stresses o1, 0, in bars (1) and (2).
(b) the vertical deflection vp of the rigid bar at D (positive if down, negative if up).
A
(1)
(2)
P
Answers:
(a) o1 =
i
MPa, o2 =
i
MPa.
(b) VD = i
mm.
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