A circular bar ACB of a diameter d having a cylindrical hole of length x and diameter d/2 from A to Cis held between rigid supports at A and B. A load Pacts at L/2 from ends A and B. Assume E is constant. (Assume x = 0 at point A and x =L at point B.) P. 8 2 A L-x- (a) (a) Obtain formulas for the reactions Ra and Rg at supports A and B, respectively, due to the load P (see figure (a)). (Use the statics sign convention. Use the following as necessary: d, E, L, P, and x.) Determine the reactions if x s R- (No Response) R- (No Response) Determine the reactions if x 2 RA Response) Re- (No Response) (b) Obtain a formula for the displacement & at the point of load application (see figure (a)). (Use the statics sign convention. Use the following as necessary: d, E, L, P, and x.) If xs (No Response) If x 2 8 = (No Response) (c) For what value of x is Rg =RA? (See figure (a). Use the following as necessary: L and P.) if x s (No Response) if x 2 (No Response) (d) Obtain formulas for the reactions R, and Ra at supports A and B, respectively, if the bar is now rotated to a vertical position, load P is removed, and the bar is hanging under its own weight (assume mass density = p). (See figure (b).) B L-X (b) Assume that x (Use the statics sign convention. Use the following as necessary: d, E, g for the magnitude of the acceleration due to gravity, L, and p.) RA = (No Response) Ra- (No Response)
A circular bar ACB of a diameter d having a cylindrical hole of length x and diameter d/2 from A to Cis held between rigid supports at A and B. A load Pacts at L/2 from ends A and B. Assume E is constant. (Assume x = 0 at point A and x =L at point B.) P. 8 2 A L-x- (a) (a) Obtain formulas for the reactions Ra and Rg at supports A and B, respectively, due to the load P (see figure (a)). (Use the statics sign convention. Use the following as necessary: d, E, L, P, and x.) Determine the reactions if x s R- (No Response) R- (No Response) Determine the reactions if x 2 RA Response) Re- (No Response) (b) Obtain a formula for the displacement & at the point of load application (see figure (a)). (Use the statics sign convention. Use the following as necessary: d, E, L, P, and x.) If xs (No Response) If x 2 8 = (No Response) (c) For what value of x is Rg =RA? (See figure (a). Use the following as necessary: L and P.) if x s (No Response) if x 2 (No Response) (d) Obtain formulas for the reactions R, and Ra at supports A and B, respectively, if the bar is now rotated to a vertical position, load P is removed, and the bar is hanging under its own weight (assume mass density = p). (See figure (b).) B L-X (b) Assume that x (Use the statics sign convention. Use the following as necessary: d, E, g for the magnitude of the acceleration due to gravity, L, and p.) RA = (No Response) Ra- (No Response)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A circular bar ACB of a diameter d having a cylindrical hole of length x and diameter d/2 from A to C is held between rigid supports at A and B. A load P acts at L/2 from ends A and B. Assume
is constant. (Assume x = 0 at point A and x = L at point B.)
| P, 8
d
2
(a)
(a) Obtain formulas for the reactions R, and R, at supports A and B, respectively, due to the load P (see figure (a)). (Use the statics sign convention. Use the following as necessary: d, E, L, P, and x.)
Determine the reactions if x <
R, =
(No Response)
RR =
(No Response)
Determine the reactions if x 2
R, = (No Response)
R. =
(No Response)
(b) Obtain a formula for the displacement & at the point of load application (see figure (a)). (Use the statics sign convention. Use the following as necessary: d, E, L, P, and x.)
if x s
8 = (No Response)
if x 2
8 = (No Response)
(c) For what value of x is R, = R? (See figure (a). Use the following as necessary: L and P.)
%3D
if x 7
(No Response)
if x 2
X =
(No Response)
(d) Obtain formulas for the reactions R, and R, at supports A and B, respectively, if the bar is now rotated to a vertical position, load P is removed, and the bar is hanging under its own weight (assume mass density = p). (See figure (b).)
B
L-x
d
d
(b)
Assume that x =
(Use the statics sign convention. Use the following as necessary: d, E, g for the magnitude of the acceleration due to gravity, L, and p.)
R, =
(No Response)
R3 = (No Response)
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