A simply supported beam ABCD is subjected to a linearly distributed load, with wo = 100 N/m, two concentrated loads, one at C and the other at D, and a point moment at B as shown in Figure 4.1. The angles of the point loads are: 0₁ = 40° and 0₂ = 30° and the dimensions are a = 5m, b = 3 m and c = 2 m. a) Calculate the internal loadings at the midpoint of section AB using the method of sections. Wo A X B 500 N 200 N·m b Figure 4.1. - Simply supported beam 300 N

A simply supported beam of a total length ll is shown in Figure Q5, where point A is supported by a pin connection and point C is supported by a roller support. The concentrated load is P=mgP=mg at the location of l1l1. Note that l1/l=l1/l= 0.65. Determine the shear-force and bending-moment distributions produced in the beam by the concentrated load PP.

Hi there sir/madam  I need help on this question  A beam with a solid homogeneous rectangular section is simply supported at A and B.   A concentrated load F = 150 kilonewtons (kN) acts at point C where distance L1 (A to C) = 2.50 metres (m) and distance L2 (C to B) = 1.65 metres (m). The dimensions of the rectangular section of the beam are breadth, b = 35 mm and depth d = 125 mm. Calculate the maximum bending stress and give your answer in N/mm2 to two decimal places

The beam is subjected to a point load and a distribution load as shown in Figure 2-1 below, and the right end is a build-in support. (1ft=12inch, ksi=kilo lb/in2)(a) Find the reaction in build-in support C.(b) Draw a Shear Force Diagram in the beam BC interval.(c) Draw a Moment Diagram in the beam BC interval.(d) Find the maximum shear stress mmax in the beam BC interval.(e) Find the maximum tensile flexural stress mmax, T and maximum compressive flexural stress mmax, C in the beam BC interval, respectively.

A 5.1 m long simply supported wood beam carries a uniformly distributed load of 11.3 kN/m, as shown in Figure A. The cross-sectional dimensions of the beam as shown in Figure B are b = 205 mm, d = 460 mm, yH = 77 mm, and yx = 162 mm. Section a-a is located at x = 1.3 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) If the allowable shear stress for the wood is 850 kPa, what is the largest distributed load w that can be supported by the beam? х В L Figure A

Find the centroid

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.

Consider the beam in the figure below. Take w = 4 kip/ft and P = 12 kip. Point E is just to the left of the 12-kip load A) Determine the magnitude of the resultant internal normal force in the beam at cross-section through point E. B) Determine the magnitude of the resultant internal shear force in the beam at cross-section through point E. C) Determine the magnitude of the resultant internal bending moment in the beam at cross-section through point E.

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

A beam AB with overhanging is 6 m in length and made from steel as shown in Figure 2. It is supported by a pin at A and a roller at B. The beam carries a linearly distributed load of 35 kN/m alongAB and uniformly distributed load of 8 kN/m along CD. A moment of 8 kNm is acting at D. Thebeam has a cross-section x-x as shown in Figure 3.a) By using shear-force and bending-moment equations, determine the magnitude of the shear force and bending moment at points A, B, C, and D.b) Construct the shear force and bending moment diagrams for the beam. State all the important values and location of inflection point (if any).c) Calculate the maximum bending stress of the point where located at the inflection point.d) Determine the maximum shear stress and shear stress at point Y.