Home Work: Determine the largest load P that can be supported by the circular steel bracket shown in the Figure, if the normal stress on section A- B is limited to 80 MPa.
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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 short column constructed of a W 12 × 35 wide-flange shape is subjected to a resultant compressive load P = 25 k having its line of action at the midpoint of one flange (see figure). Determine the maximum tensile and compressive stresses d1and d2., respectively, in the column. Locate the neutral axis under this loading condition. Recompute maximum tensile and compressive stresses if a C 10 × 15.3 is attached to one flange, as shown.A flying but tress transmit s a load P = 25 kN, acting at an angle of 60º to the horizontal, to the top of a vertical buttress AB (see figure). The vertical buttress has height h = 5.0 m and rectangular cross section of thickness t = 1.5 m and width b = 1.0 m (perpendicular to the plane of the figure). The stone used in the construction weighs y = 26 kN/m3. What is the required weight W of the pedestal and statue above the vertical buttress (that is, above section A) to avoid any tensile stresses in the vertical buttress?
- Because of foundation settlement, a circular tower is leaning at an angle a to the vertical (see figure). The structural core of the tower is a circular cylinder of height ft, outer diameter d2, and inner diameter d1.For simplicity in the analysis, assume that the weight of the tower is uniformly distributed along the height. Obtain a formula for the maximum permissible angle a if there is to be no tensile stress in the tower.A short column with a wide-flange shape is subjected to a compressive load that produces a resultant force P = 55 kN acting at the midpoint of one flange (see figure). Determine the maximum tensile and compressive stresses asand o^., respectively, in the column, Locate the neutral axis under this loading condition. Recompute maximum tensile and compressive stresses if a 120 mm X 10 mm cover plate is added to one flange as shown.A prismatic bar with a length L = 3 ft and cross-sectional area A = 8 in2 is compressed by an axial centroidal load P = 10 kips. Determine the complete state of stress acting on an inclined section pq that is cut through the bar at an angle W = 35", and show the stresses on a properly oriented stress element.
- Continuous cable ADS runs over a small Frictionless pulley at D to support beam OABC that is part of an entrance canopy Tor a building (see figure}. Assume that the canopy segment has a weight it' = 1700 lb. (a) Find the required cross-sectional area of cable ADB if the allowable stress is 18 ksi. (b) Determine the required diameter of the pins at O. A, R and D if the allowable stress in shear is 12 ksi.A pole is fixed at the base and is subjected to a linearly varying distributed force with maximum intensity of q0and an axial compressive load P = 20 kips at the top (see figure). The pole has a circular cross section with an outer diameter of 5 in. and an inner diameter of 4.5 in. Find the normal stresses on the surface of the pole at the base at locations A and B.A vertical pole of aluminum is fixed at the base and pulled at the top by a cable having a tensile force T(see figure). The cable is attached at the outer edge of a stiffened cover plate on top of the pole and makes an angle a = 20° at the point of attachment. The pole has length a = 2.5 m and a hollow circular cross section with an outer diameter d2= 280 mm and inner diameter d1= 220 mm. The circular cover plate has diameter 1.5d2 Determine the allowable tensile force Tallow in the cable if the allowable compressive stress in the aluminum pole is 90 MPa.
- A circular post, a rectangular post, and a post of cruciform cross section are each compressed by loads that produce a resultant force P acting at the edge of the cross section (see figure). The diameter of the circular post and the depths of the rectangular and cruciform posts are the same. For what width b of the rectangular post will the maximum tensile stresses be the same in the circular and rectangular posts? Repeat part (a) for the post with cruciform cross section. Under the conditions described in parts (a) and (b), which post has the largest compressive stress?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?A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress