Q1) Beams A and B are known to have the following bending moment equations (refer equations a, b respectively, i.e., equations giving Moment M in terms of x). Hence, for each of Beams A and B, use Calculus to find equation/s describing the load distribution/s (Load in terms of x). Furthermore, determine the point/s of maximum bending moment for Beam A. y Beam A Beam B la - M = 3x + 2 cos 2 Ib - M = 4 ln x +7 sin x – 3 et

For the beam and loading shown, integrate the load distribution to determine (a) the equation of the elastic curve, (b) the deflection at the left end of the beam, and (c) the support reactions By and MB. Assume that EI is constant for the beam. Let w0 = 5 kN/m, L = 3.5 m, E = 225 GPa, and I = 105 x 106 mm4.

A horizontal shelf AD of length L= 600 mm, width 6= 320 mm, and thickness t = 18 mm is supported by brackets at Band C [see part (a) of the figure]. The brackets are adjustable and may be placed in any desired positions between the ends of the shelf. A uniform load of intensity q, which includes the weight of the shelf itself, acts on the shelf [see part (b) of the figure). (a) A D В (b) Determine the maximum permissible value of the load if the allowable bending stress in the shelf is oallow = 3 MPa and the position of the supports is adjusted for maximum load-carrying capacity. Round to two decimal places. qmax = kN/m

A cantilever beam is loaded as shown in figure 2 below, if a prop is to be introduced at point B, using Macaulay's method calculate the magnitude of the force in the prop and direction. JOKN/m 6m FIG 2 B 15KN/m 4m 25KN/m C

There is a statically indeterminate beam in which the horizontal force at the left and right ends (points A and D) is zero, and the vertical force is shown in the figure below, The flexural stiffness of the beam section is constant El: (a) Find the slope (Slope) of point B after deformation. (b) Find the vertical displacement of point C (Deflection). *correct answer is (a) 89.9 kips-ft2/El clockwise (b) 1656.21kips-ft3 /El down But I want to calculate the process, thank you

HANDWRITTEN THEN BOX THE FINAL ANSWERS PLEASE PVALUE = 211 kN

please dont do it handwritten

For the beam shown, the magnitude of the concentrated load is P = 27 kN, the magnitude of the couple is MB = 170 kN·m, and the beam lengths are a = 6.4 m and b = 19.2 m. (a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A. (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Use your diagrams to determine the magnitudes of the maximum shear force and the maximum bending moment. 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.

A beam with a weight of q = 120 N/m and a concentrated load of 800 N applied at midspan is simply supported at the ends. Assuming L= Calculate the: (a) beam deflection at midspan (b) beam slope at the position of the supports W L/2

An indeterminate beam carries different Solve the 2nd carry over moment of types of loads as shown in the figure. Using Moment Distribution Method (up to 4th distribution), solve the following: Let w = 295kN/m (NOTE: Put a negative sign if the moment is CCW otherwise don't put any sign at all. Don't also put any units. span BC. Solve the 3rd carry over moment of span св. Express ALL YOUR FINAL ANSWERS to at least 5decimal places) Solve the Moment at span BA. Sm Solve the Moment at span CD. Solve the distribution factor of member Св. Solve the Moment at span DC. Solve the distribution factor of member BA. Solve the Moment at 2nd distribution in span AB. Solve the 1st carry over moment of span АВ. Solve the Moment at 3rd distribution in span BC. Q