1. Determine the maximum load P that can be applied to the beam if the bearing plates A' and B' have square cross sections of 5cm x 5cm and 20cm x 20cm respectively, and the allowable bearing stress for the material is σ = 3 MPa. 20KNI 20KNI 30kN 20KNI 7777 2 m A 2 m 2 m B 6 m

A wooden beam is fabricated by bolting together three members. The cross-sectional dimensions are shown. The 7-mm-diameter bolts are spaced at intervals of s 100 mm along the x axis of the beam. If the internal shear force in the beam is V-11 kN, determine the shear stress r in each bolt. Assume by - 46 mm, b₂-39 mm, dj-62 mm, d₂ - 290 mm. M Answer: r = i MPa. di T

telutip wollen A Situation 4 - An angle bracket having thickness t 20 mm is attached to the flange of a column by two 16-mm- diameter bolts as shown in Figure S01-7152. A uniformly distributed load from a floor joist acts on the top face of the bracket with a pressure p = 1900 kPa. The top face of the bracket has length L = 200 mm and width b = 75 mm. 25. Determine the average bearing pressure between the angle bracket and the bolts, in MPa. A. 48.7 C. 40.1 B. 50.2 D. 44.5 Fri 26. Determine the average shear stress in the bolts in MPa. (Disregard friction between the bracket and the column.) A. 76.32 C. 65.47 B. 60.89 eard antea mulos fest D. 70.87 Distributed pressure on angle bracket Floor slab WITH Floor joist Angle tracker 002 Figure S01-7152 Angle bracket

A stepped shaft made of steel is fixed at one end and 1.5 kN-m torque is applied at other end. What additional torque that can be applied at point B if the maximum shear stress is not to be exceeded 105 MPa and the total angle of twist should not exceeds 3°. The modulus of elasticity of steel may be taken as 200 GPa and Poisson's ratio as 0.3. 750 B 600 3-11- 70 90

The steel beam has the cross section shown. The beam length is L = 4.2 m, and the cross-sectional dimensions are d = 360 mm, bf = 180 mm, tf = 16 mm, and tw = 6 mm. Calculate the largest intensity of distributed load w0 that can be supported by this beam if the allowable bending stress is 210 MPa.

The allowable shear stress is τallow=895 psi�allow=895 psi. The supports at A� and B� are smooth

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Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 18 ksi, the normal stress in brass rod (2) must be limited to 23 ksi, and the normal stress in steel rod (3) must be limited to 14 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 8 kips, Q = 6 kips, R = 16 kips and S = 23 kips. SI (1) VQ (2) (3) A Answer: F₁ = B R C D First: Calculate the internal force (positive if tensile, negative if compresive) in rod (1). Use a FBD cutting through the rod in the section that includes the free end A. i kips.

The shown L-shape cantilver is loaded as shown and fixed at A. It has a constant section of 40 mm X 20 mm. For point I located at 50 mm from support A, at the midheight of the section, determine the principal stresses, the principal planes and the maximum shear stress. y 50 mm 150 mm 40 mm 0.5 kN H- I 20 mm 3 kN 160 mm 2.5 kN