1. The I-beam is fabricated by welding the three steel plates together as shown. A force of is applied to the beam section. Can a weld (at the location shown in the figure) with a shear strength of 100 MPa support the shear force of V = 200kN without losing its bond?
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- A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?A steel bar has a square cross section of width b = 2.0 in. (sec figure). The bar has pinned supports at the ends and is 3.0 ft long. The axial forces acting at the end of the bar have a resultant P = 20 kips located at distance e = 0,75 in, from the center of the cross section. Also, the modulus of elasticity of the steel is 29,000 ksi. Determine the maximum compressive stress max, in the bar. If the allowable stress in the steel is 18,000 psi, what is the maximum permissible length Lmaxof the bar?The cross section of a narrow-gage railway bridge is shown in part a of the figure. The bridge is constructed with longitudinal steel grinders that support the wood cross ties. The bridge is constructed with longitudinal steel girders that support the wood cross ties. The girders are restrained against lateral buckling by diagonal bracing, as indicated by the dashed lines. The spacing of the girders is S1= 50 in. and the spacing of the rails is s2= 30 in. The load transmitted by each rail to a single tie is P = 1500 1b. The cross section of a tie, shown in part b of the figure, has a width b =5.0 in. and depth d. Determine the minimum value of d based upon an allowable bending stress of 1125 psi in the wood tie. (Disregard the weight of the tie itself.)
- A spherical tank of diameter 48 in. and wall thickness 1.75 in. contains compressed air at a pressure of 2200 psi. The tank is constructed of two hemispheres joined by a welded seam (see figure). (a) What is the tensile load/ (lb per in. of length of weld) carried by the weld? (b) What is the maximum shear stress rm2Xin the wall of the tank? (c) What is the maximum normal strain e in the wall? (For steel, assume E = 30 X 10 psi and v = 0.29.)A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.
- A joint between iwo concrete slabs A and B is filled, with a flexible epoxy lhal bonds securely lo the concrete (see figure). The height of the joint is h = 4.0 in., its length is L = 40 in., and its thickness is t = 0.5 in. Under the action of shear forces K the slabs displace vertically through the distance d = 0.002 in. relative lo each other. (a) What is the average shear strain in the epoxy? (b) What is the magnitude of the forces V if the shear modulus of elasticity G for the epoxy is 140 ksi?Two aluminum plates, each having a width b = 7.5” and thickness t = 2”, are welded together as shown in the figure. Assume that a = 5.0”. Specifications require that the normal and shear stress magnitudes acting in the weld material may not exceed 40 ksi and 25 ksi, respectively. The largest axial load P that can be applied to the aluminum plates is _____ kips.A bracket is welded to the verical column by means of two fillet welds as shown in the figure. Determine the size of the welds, if the permissible shear stress in the weld is limited by 70N/mm^2.
- A circularbeam, 50 mm in diameter, is welded to support using a fillet weld as in the figure. Determinethe size of the weld, if the permissible shear stress is 100 N/mm2.Determine the largest weight W that can be supported by two wiresshown in figure below. The stress in either wire is not to exceed 30 ksi.The cross-sectional areas of wires AB and AC are 0.4 in2 and 0.5 in2, respectively.The figure shows a roof truss and the detail of the riveted connection at joint B. Using allowable stresses of τ= 70 MPa and σb= 140 MPa, how many 22-mm diameter rivets are required to fasten member BC to the gusset plate? Member BE? What is the largest average tensile or compressive stress in BC and BE? Say ABC = 864mm2; ABE = 1780mm2.