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Using the simply supported beam from Prob. 8.24, the slope along the beam is given by:
Use a numerical method to find the point(s) where the slope equals zero.
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- 1 For the beam shown, if w0 = 20 %3D kN/m, and x> L/2 then the moment equation as a function of x equals to ( M(x)=.. . kN.m): * (2 Points) Wo A В (L – x)² A) 3L B) (L – x)³ 3L 10 (L + x)* D) (L+ x)² A В None NIN NINarrow_forwardThe second moment of area of a rectangle is given by the formula I =bh^3/12where b is the breadth and h is the height.Determine the approximate percentage error, if b is measured 3% too largeand the height h is measured 1.7% too small.(Use the Binomial Expansion Method)arrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a = 3.8 m, b = 7.6 m, c = 5.1 m, P = 11 kN, w = 41 kN/m, and Q = 29 kN. Label all significant points on each diagram and identify the maximum shear force and bending moment along with their respective locations. Additionally: (a) Determine V and M in the beam at a point located 0.50 m to the right of B. (b) Determine V and M in the beam at a point located 1.15 m to the left of C. Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number. В a b Answer: Vmax kN Mmax kN•m (a) Vx1= kN Mx1 = kN•m (b) Vx2 = kN Mx2 = kN•marrow_forward
- Various distributed forces are exerted on the beam shown, w(x) = 2.234 F N/m, p(x) = 1.551 N/m, q(x) = 2.071 N/m, a = 3 m, b = 5 m, and c = 5 m. Determine the net force on them and their direction (+ up. - down). State your answer in kN to 3 significant figures after correct rounding. w (x) a p(x) b q (x)arrow_forwardFor the beam shown below: 1. Replacing on the loading acting on the beam by a single resultant force. 2. Specify where the resultant force acts measured from end A. 3. Specify where the resultant force acts measured from B. 200 N 600 N 330 N 550 N 30° 800 N.m 60% D B A |- 3 m 700 N.m 6 m 5 m 4arrow_forward2. Plot the bending moment diagrams of the rigid frames shown below. Pa C 2 kN/m 3 m 2 m 题4.19 图 題4.20图 4 kN 2 kN/m 4m 6 m 4 m m 题4.21 图 题4.22 图arrow_forward
- Determine the bending moment M in the beam at the point located 0.92 m to the right of point B. The ground reactions and shear- force diagram are shown. KN Units: I A 2.0 kN/m ↑↑↑↑ 3 m O 15.20 kN-m O 12.21 kN-m O 16.73 kN-m O 13.99 kN-m O 10.45 kN-m B 4.70 KN 10.70 6.00 5.0 kN/m 5m @x=5.14 m. 14.30 kN -14.30arrow_forwardUse the graphical method to construct the bending-moment diagram and identify the magnitude of the largest moment (consider both positive and negative). The ground reactions and the shear-force diagram are provided. M = 14 kN-m Ay = 3.54 KN Dy = 32.46 kN Units: KN Ay M 4m O 31.52 kN-m O 20.0 kN-m O 33.6 kN-m 23.2 kN-m O 26.1 kN-m B Ay 4 m 15 kN C A, 4 m A,-15 7 kN/m D 3 m 21 A₁-15 E Xarrow_forwardDetermine the bending moment M in the beam at the point located 0.70 m to the left of point D. The ground reactions and shear-force diagram are shown. 16.80 KN 16.80 Units: KN 2 m 22.01 kN-m 37.70 kN-m 27.44 kN-m 19.82 kN-m 24.98 kN-m 14.0 kN 16.80 2.80 2 m 42.0 KN 2.80 1m D 39.20 KN -39.20 -39.20arrow_forward
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