Use the area method. The two beams shown are connected by an internal hinge at C and are supported by a fixed support at A and a roller at D. Parameters ABCDE 2 - 0 2 1 1 2 3 4 5 P = 250+ (A + B) x 2 N W₁ = 200+ (B+C) x 2 N/m W₂ = 300 + (C+D) x 2 N/m M = 400+ (D+E) N·m P = 250+ (1+2) x 2 = 256 N W₁ = 200+ (2+3) × 2 = 210 N/m W₂ = 300 + (3+4) x 2 = 314 N/m M = 400 +(4+5) = 409 N·m W1₁ W₂ M B W₂ 2m 2m 5m Use the following tables as template for your solution. Shear Calculation Shear Values (N) Relation of Shear to Concentrated and Distributed Load VB - V₁ = Bending Moment Calculation Shear Values (N) Relation of Bending Moment to Applied Moment and Shear Diagram M₁ = M₂ = MB - MA = For the following beams, draw the simplified free-body diagram and below it the shear and bending moment diagrams. Show all necessary solutions. Let the analysis be from left to right. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, degree of all curves, and the maximum shear and maximum bending moment of the beam. A CO

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Chapter2: Loads On Structures
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Use the area method. The two beams shown are connected by an internal hinge at C and are
supported by a fixed support at A and a roller at D.
Parameters
1 2 3 4
A B C D E
2
0
2
-
1
P = 250+ (1+2) x 2 =
P = 250+ (A + B) x 2 N
W₁ = 200+ (B+C) x 2 N/m
W₂ = 300 + (C+D) x 2 N/m
M = 400+ (D+E) N.m
1 2 3 4 5
256 N
W₁ = 200 +(2+3) × 2 = 210 N/m
W₂ = 300 + (3+4) × 2 = 314 N/m
M = 400 + (4+5) = 409 N.m
W₁1
W₂
M
B CO
W₂
2m
2m
5m
Use the following tables as template for your solution.
Shear Calculation
Relation of Shear to Concentrated and Distributed Load
Shear Values (N)
VA =
VB - VA =
Bending Moment Calculation
Shear Values (N)
Relation of Bending Moment to Applied Moment and Shear
Diagram
MA =
MB =
MB - MA =
For the following beams, draw the simplified free-body diagram and below it the
shear and bending moment diagrams. Show all necessary solutions. Let the analysis
be from left to right. Determine the points of zero shear (if any), their distance from
point A, and the bending moments at these points. Indicate the value of all the
points, degree of all curves, and the maximum shear and maximum bending
moment of the beam.
Transcribed Image Text:Use the area method. The two beams shown are connected by an internal hinge at C and are supported by a fixed support at A and a roller at D. Parameters 1 2 3 4 A B C D E 2 0 2 - 1 P = 250+ (1+2) x 2 = P = 250+ (A + B) x 2 N W₁ = 200+ (B+C) x 2 N/m W₂ = 300 + (C+D) x 2 N/m M = 400+ (D+E) N.m 1 2 3 4 5 256 N W₁ = 200 +(2+3) × 2 = 210 N/m W₂ = 300 + (3+4) × 2 = 314 N/m M = 400 + (4+5) = 409 N.m W₁1 W₂ M B CO W₂ 2m 2m 5m Use the following tables as template for your solution. Shear Calculation Relation of Shear to Concentrated and Distributed Load Shear Values (N) VA = VB - VA = Bending Moment Calculation Shear Values (N) Relation of Bending Moment to Applied Moment and Shear Diagram MA = MB = MB - MA = For the following beams, draw the simplified free-body diagram and below it the shear and bending moment diagrams. Show all necessary solutions. Let the analysis be from left to right. Determine the points of zero shear (if any), their distance from point A, and the bending moments at these points. Indicate the value of all the points, degree of all curves, and the maximum shear and maximum bending moment of the beam.
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