A box beam is fabricated from four boards, which are fastened together with screws, as illustrated in the next figure. Each screw will be installed so that bending occurs about the z-axis, and the maximum shear force in the beam will be 9 kN. Determine the maximum spacings for the screws. Z 50 mm 150 mm 50 mm 25 mm 140 mm 25 mm

The box beam shown in Figure 1 is subjected to an internal moment of M= 4 kN.m which is directed as shown. Determine the maximum bending stress developed in the beam and the orientation of the neutral axis. 50 mm 25 mm 50 mm @ 25 mm 50 mm 50 mm 45° STO M 150 mm 150 mm

An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 600 mm. The cross-sectional dimensions of the beam are b₁ = 36 mm, d₁ = 112 mm, b₂ = 22 mm, d₂ = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ ak ak ✓ a M B L A Answer: M = i N•m d₂

Figure Q2 shows the cross section of a beam. The beam is simply supported over a span of 6 m and carries a vertical point load of 40 kN acting at its mid-span. Calculate  The position of the horizontal centroidal axis of the cross-section from its bottom. The second moment area of the cross-section about the horizontal centroidal axis  The maximum shear load per unit length (metre) at the lower surface of the top flange

In the figure shown, the aluminum strut has a cross-sectional area in the form of a cross. If it is subjected to the moment M= 8 kN.m: 1) determine the bending stress acting at points A and B, 2) show the results acting on a stress distribution diagram.

consider a beam with two 60-inch-long rods. The rods have a cross section area of 0.50 in 2 . Find the axial stress in each rod, draw the shear and moment diagrams for the beam, and find the maximum stress in the beam.

Draw a FBD of section CD. Do not solve the rest of the problem

The figure shows the cross-section of a beam that is composed of a wide-flanged structural profile, whose specification is indicated in the figure, and two steel plates, joined by means of screws, placed in pairs with a longitudinal separation of 20 cm . If the beam is subjected to a vertical shear force of 25 KN, determine the shear stress supported by each bolt in the topsheet. Please add the free diagram body.

The cross-sectional dimensions of a beam are shown in the figure. Assume a = 45 mm, b = 75 mm, t = 4 mm and d =55 mm. (a) If the bending stress at point Kis 54 MPa (C), determine the internal bending moment M₂ acting about the z centroidal axis of the beam. (b) Determine the bending stress at point H. The bending stress is positive if in tension and negative if in compression. IT H Answers: (a) M₂= (b) og = i 945.9 144.881 d N-m MPa

For the beam shown, derive the expressions for V and M, and draw the shear force and bending moment diagrams. Calculate the shear force V and bending moment M at a cross section located 0.5 m from the fixed support. Neglect the weight of the beam.   (Show complete calculation and step by step process. Show free body diagram)