[2.67 KN] [4.45 kN] 600 b 1000 Ib 2' 4' 6' [0.6m [1.2 m] [1.8m] R- 1000 Ib [4.45 kN] R,-600 lb [2.67 kN] (a)

A propped cantilever beam is loaded by a bending moment of the magnitude M_B at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight ℎ that are constant along the length of the beam L. The beam material’s Young’s modulus is Q. Assuming the positive deflections and positive vertical reaction forces are upward,  calculate the value of the reaction forces at points A and B   the absolute value of the reaction bending moment at point A   A) Let R represent the reaction force at Support B. By releasing the beam at Support B and imposing a force R at Point B, the deflection of the beam consists of two parts,i.e. Part I- the deflection caused by M_B ; Part II- the deflection caused by R Please treat R, w, h , L , E  as variables in this step , the mathematical equation for the deflection at Point B caused by R ( Part II) can be written as:   b)  Using the provided data: cross-section width w = 14  mm, cross-section hight h = 82…

A built-in cantilever beam with a hollow rectangular cross-section is subjected to a uniformly distributed load as shown in Figure Q1 below. Which of the following statements best describes the shear force variation along the length, in the x direction, using the sign conventions provided in lectures? Figure Q1 O a ltis constant and positive throughout the length. Ob.it is constant and negative throughout the length. Ocit begins as a negative value and increases linearly to reach a positive value of the same magnitude. Od. None of the provided answers are correct. Oelt begins with a positive constant value for half the length, then suddenly decreases to a negative value, remaining constant for the remaining length. Of. It increases linearly from zero, then continues at a constant value before decreasing linearly to reach a value of zero again. Og It begins as a positive value and decreases linearly to reach a value of zero at the end of the length of the beam.

3.11 A beam, 12 m long, is to be simply supported at 2 m from each end and to carry a u.d.1. of 30 kN/m together with a 30 kN point load at the right-hand end. For ease transportation of the beam is to be jointed in two places, one joint being situated 5 m from the left-hand end. What load (to the nearest kN) must be applied to the left-hand end to ensure that there is no B.M. at the joint (the joint is to be a point of contraflexure)? What will be the best position on the beam for the other joint? Determine the position and magnitude of the maximum B.M. present on the beam. [114 kN, 1.6 m from r.h. reaction; 4.7 m from 1.h. reaction; 43.35 kN m]

A cantilever beam has a cross-section and concentrated loads P1 = 30 kN and P2 = 10 kN, as shown. a. Compute for the maximum tensile bending stress (in MPa). b. Compute for the maximum compressive bending stress (in MPa) c. Compute for the bending stress (in MPa) 2m to the right of point A and 30mm from the top of the beam. d. Find the maximum shear stress (in MPa) for the beam and cross-section

Calculate the centroid of the shape

Consider the cantilevered beam shown in the figure below. (Figure 1) 300 lb 200 lb/ft 6 ft Express the internal shear in the beam as a function of 2, where 2 is in feet. Express the internal moment in the beam as a function of z. where z is in feet. Draw the shear diagram. Draw the moment diagram.

ANSER FAST

For the beam shown in the figure below, invoke differential relationships between q(x), V(x), and M(x) to draw the shear and bending moment diagrams that result from the given transverse load distribution. Show your work and clearly label your plots. 2 m 100 N/m 200 N. m -1 m-1-1 m 300 N