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Note: Show all your calculations steps. A 14-m beam is subjected to a load, the shear force follows the following equation: V(x) = 5 +0.25x Where is the linear shear force and x is the length in distance along the beam. The bending moment M can be calculated from the following formula: x (m) 0 If Mo is zero and the length x is 14 m divided into increments as in table below, use the best combination of trapezoidal and Simpson's rules to find the moment along the whole beam. 1 M = M₁ + + f²v 3 Vdx 5 7.5 10 12.5 14

Note: Show all your calculations steps. A 14-m beam is subjected to a load, the shear force follows the following equation: V(x) = 5 +0.25x Where is the linear shear force and x is the length in distance along the beam. The bending moment M can be calculated from the following formula: x (m) 0 If Mo is zero and the length x is 14 m divided into increments as in table below, use the best combination of trapezoidal and Simpson's rules to find the moment along the whole beam. 1 M = M₁ + + f²v 3 Vdx 5 7.5 10 12.5 14

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Note: Show all your calculations steps. A 14-m beam is subjected to a load, the shear force follows the following equation: V(x) = 5+ 0.25x Where V is the linear shear force and x is the length in distance along the beam. The bending moment M can be calculated from the following formula: M = M, + Vdx If Mo is zero and the length x is 14 m divided into increments as in table below, use the best combination of trapezoidal and Simpson's rules to find the moment along the whole beam. x (m) 3 5 7.5 10 12.5 14
Transcribed Image Text:Note: Show all your calculations steps. A 14-m beam is subjected to a load, the shear force follows the following equation: V(x) = 5+ 0.25x Where V is the linear shear force and x is the length in distance along the beam. The bending moment M can be calculated from the following formula: M = M, + Vdx If Mo is zero and the length x is 14 m divided into increments as in table below, use the best combination of trapezoidal and Simpson's rules to find the moment along the whole beam. x (m) 3 5 7.5 10 12.5 14
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