4. The cross sectional area of each member of the truss is 1.6 in?. Calculate the stresses in members HC,HG and EF if P= 250 lb. Indicate tension or compression. |- 3 ft - B - 3 ft- - 3 ft- 2 ft 4 ft 6 ft E F
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- 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 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.An aluminum pole for a street light weighs 4600 N and supports an arm that weighs 660 N (see figure). The center of gravity of the arm is 1.2 m from the axis of the pole, A wind force of 300 N also acts in the (y) direction at 9 m above the base. The outside diameter of the pole (at its base) is 225 mm, and its thickness is 18 mm. Determine the maximum tensile and compressive stresses o, and e1., respectively, in the pole (at its base) due to the weights and the wind force.
- 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.While drilling a hole with a brace and bit, you exert a downward force P = 25 lb on the handle of the brace (see figure). The diameter of the crank arm is d = 7/16 in. and it s lateral offset is b = 4-7/8 in. Determine the maximum tensile and compressive stresses e1, and e2respectively, in the crank.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 simply supported beam is subjected to point load P at mid-span. The normal stress on an element at mid-span is known to be ??x= 1.5 ksi. Determine the element stresses lilt is rotated through angle ? = 450• Show these stresses on a sketch of an element oriented at that angle.Repeat the previous problem using ? = 50° and stresses on the rotated element: sy1= 70 MPa, ??y1=-82 MPa, and tx1y1=-35 MPa.The state of stress on an element along the hydraulic lift cylinder on a truck is trv= — 5 MPaLFind the maximum shear stress on the clement and show the state of stress on a sketch of a properly oriented clement.
- A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.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.A sign is supported by a pipe (see figure) having an outer diameter 110 mm and inner diameter 90 mm. The dimensions of the sign are 2.0 m X 1.0 m, and its lower edge is 3.0 m above the base. Note that the center of gravity of the sign is 1.05 m from the axis of the pipe. The wind pressure against the sign is 1.5 kPa. Determine the maximum in-plane shear stresses due to the wind pressure on the sign at points /I, B, and C, located on the outer surface at the base of the pipe.