A wooden beam is loaded by a distributed load w = 6 N/mm as shown in Figure Q4(a). The cross-section of the beam is shown in Figure Q4(b). Assume that LAB = 2100 mm, LBC = 2900 mm,W=180 mm, Bo = 10 mm, and H=210 mm, ho=20 mm.Units: use N, mm, MPa as consistent units for all calculations.Decimal points: any decimal points are fine and all the numerical questions have a 10% errortolerance.Steps: Fill the gaps in the "steps" to get some marks from the working-out process. Adaptivemarking is still used.(a)(b)XωLABBmm4LBC7777Show steps (Your score will not be affected.)YFigure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam.N, y-direction: YA=a) Determine the 2nd moment of area of this cross-section with respect to the z-axis in FigureQ4(b)?I =N, y-direction: Yc=Section BC:Shear force equation V(x) =:Bending moment equation M(x) =:b) Calculate support reactions in A and C, remember the sign of the force.Reaction force at point A:x-direction: X=Reaction force at point C:x-direction: Xc=NNCross-sectionВоN*mmN*mmhotNc) Calculate the equations of shear force V(x) and bending moment M(x). Type themathematical expressions or constants.Section AB:Shear force equation V(x) =:Bending moment equation M(x) =:WoNHe) What is the maximum magnitude of shear force and bendingmoment, neglecting the sign?Maximum magnitude of shear force, positive value:Maximum magnitude of bending moment, positive value:N*mmNd) Select the right force and bending moment diagrams from theoptions below, neglecting the axis values in the diagrams, onlylook at the shape.Maximum shear stress:-5000-10000-15000-200002500022000015000100005000-5000-10000Shear force (N)1500010000-5000100010001000MPa3000MPaShear force and moment diagram2000Shear force and moment diagram20003000Show steps (Your score will not be affected.)Shear force and moment diagram30002000Shear force and moment diagram30004000f) Determine the maximum bending stress and shear stress thatoccurs in the beam.Maximum bending stress:40004000400050005000

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A wooden beam is loaded by a distributed load w = 6 N/mm as shown in Figure Q4(a). The cross- section of the beam is shown in Figure Q4(b). Assume that LAB = 2100 mm, LBC = 2900 mm, W=180 mm, Bo= 10 mm, and H=210 mm, ho=20 mm. Units: use N, mm, MPa as consistent units for all calculations. Decimal points: any decimal points are fine and all the numerical questions have a 10% error tolerance. Steps: Fill the gaps in the "steps" to get some marks from the working-out process. Adaptive marking is still used. (a) (b) x W LAB BL mmª LBC Show steps (Your score will not be affected.) N, y-direction: YA= Figure Q4: (a) A wooden beam is loaded by a distributed load, (b) cross-section of the beam. a) Determine the 2nd moment of area of this cross-section with respect to the z-axis in Figure Q4(b)? I= N, y-direction: Yc= Section AB: Shear force equation V(x) =: Bending moment equation M(x) =: b) Calculate support reactions in A and C, remember the sign of the force. Reaction force at point A: x-direction: XA= Reaction force at point C: x-direction: Xc= Section BC: Shear force equation V(x) =: Bending moment equation M(x) =: N N Cross-section N'mm Bo c) Calculate the equations of shear force V(x) and bending moment M(x). Type the mathematical expressions or constants. N*mm N hol N Wo H e) What is the maximum magnitude of shear force and bending moment, neglecting the sign? Maximum magnitude of shear force, positive value: Maximum magnitude of bending moment, positive value: N*mm N d) Select the right force and bending moment diagrams from the options below, neglecting the axis values in the diagrams, only look at the shape. Maximum shear stress: -5000 -10000 -15000 -20000 $|| MPa MPa Shear force and moment diagram Shear force and moment diagram 2000 Shear force and moment diagram f) Determine the maximum bending stress and shear stress that occurs in the beam. Maximum bending stress: Shear force and moment diagram Show steps (Your score will not be affected.) 5000