A B 2 m 20 KN 2 m C 8 kN/m 4 m D 12 E 200 kN-m F 2 m 2 m X

Determine the bending moment M in the beam at the point located L = 3.45 m to the left of point C. The ground reactions and shear- force diagram are shown. 40.0 kN 7.0 kN/m A B 3 m 12 m 65.60 kN 58.40 kN 65.60 65.60 25,60 @x=6.66 m -58.40 O 170.9 kN-m O 118.8 kN-m O 129.1 kN-m O 222.0 kN-m O 159.8 kN-m Units: kN

The second integration of bending moment equation will give slope of the beam. Select one: O True OFalse

7. A beam is loaded and supported as shown below. a. Calculate the support reactions b. Write the equations for shear-force (V) and bending-moment (M) for the beam section between points B and C, as a function of x measured from the left-end A of the beam. c. Draw shear force and bending moment diagrams for the entire beam. Be sure to label all important values on both the shear force and bending moment diagrams. d. Find the magnitude and location of the maximum bending moment. 7 kN/m 4 kN 3 kN/m 8 kN-m |B D 2 m -3 m 3 m A = 0 A, = 10 kN V = -x? +x + 4 N Mmax = 16.5 kN-m Cy = 18 kN M = x² +4x- 2 N-m x = 3 meters * HIN

Use the method of sections to determine expressions for the shear force and bending moment along the entire length of the beam shown below, and plot the shear force and bending moment diagrams. 10 kN 10 kNm A 4 m 2 m 4 m

Construct the shear and moment diagrams for the loaded beam shown. After you have the diagrams, answer the questions. 1.2 kN/m W A Questions: Atx 1.1 m, V = W = w₁+kx² 1.9 kN/m 4.5 m x KN, M= i kN·m At x = 3.7 m, V = i KN, M= The absolute value of the maximum shear Vmax force is The absolute value of the maximum bending moment is Mmax i II kN·m KN x = r KN-m, x = r

Produce the shear and bending moment diagrams for the beam structure andloading shown below. Indicate the values that define the diagrams. Align thediagrams vertically beneath a sketch of the beam and its loading.

2. The figure shows a cantilevered beam, subjected to a uniformly distributed (rectangular) 40 N/m force along the section DE, a 50 N point force at point C, and a 200 N·m couple moment. a. Write the shear-force and bending-moment equations as a function of distance, x, measured from the leftmost point, A, for the entire beam. b. Using your shear-force and bending-moment equations, calculate the shear force and bending moment at x = 2 m and x = = 5 m. 200 N·m 50 N 40 N/m 1.m C D 2.5 m 1m 2.5 m E B 2 m

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-8.0 ft, c-4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A a a B Part 2 b d For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Save for Later B W Answers: Ay = i 37.575 eTextbook and Media W AV=P₂ b C V₁ - V₁ = Sw(x) dx C C с D + D d kips, Ey= M₂ E i E ZA x Ey X Incorrect If your answer for part (a) or (e) is incorrect, recall that concentrated loads create discontinuities in the shear-force diagram. Refer to the table below (Construction Rules for Shear-Force and Bending-Moment Diagrams), Rule 1. At…

de The beam shown supports a load that varies uniformly from 250 N/m at the left end to 0 N/m at the right end. The lengths of the beam segments are d₁=2 m, d₂ = 2 m, and d₂ = 8 m. Reactions Determine the reactions at pin A and roller C. Let positive values indicate upward forces. A= C= Internal Load Determine the internal shear and bending moment at a section passing through point D. Use the standard convention for the meaning of positive shears and bending moments. VD= Mp=