PROBLEM 5.5-13

A column with a wide-flange section has a flange width b = 200 mm , height h = 200 mm , web thickness tw = 8 mm , and flange thickness tf = 12 mm (Figure 1). Calculate the stresses at a point 75 mm above the neutral axis if the section supports a tensile normal force N = 2.9 kN at the centroid, shear force V = 4.6 kN , and bending moment M = 4.8 kN⋅m as shown (Figure 2). Part A - Normal stress Calculate the normal stress at the point due to the internal normal force on the section. σnormal =? Part B - Shear stress Calculate the magnitude of the shear stress at the point due to the internal shear on the section. τ =?

Calculate the normal stress and shear stress acting on an element G, 150 mm from the top surface of the beam, in the section  to the left of the point load  (water tank load) as shown in the bottom figure and then determine the principal planes and the principal stresses.

D=100mm d=80mm p=1.9kPa

A railroad tie (or sleepe1) is subjected to two rail loads, each of magnitude P=175 kN, acting as shown in the figure. The reaction q of the ballast is assumed to be uniformly distributed over the length of the tie,which has cross-sectional dimensions b =300 mm and h =250 mm.   Calculate  the  maximum  bending  stress 111ma  inthe tie due to the loads P, assuming the distance L  =1500 mm and the overhang length a =500 mm.

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Several forces are acting on a bolt as shown in the diagram below. It is desired to determine the resultant of all of the forces acting on the bolt. The axis of the bolt is at a 45° angle with respect to the x-axis. The line of action of force Pis parallel to the x-axis. The magnitudes of the forces and the angles labeled are as follows: P = 35 N S = 60 N T = 31 N a = 15⁰ Q = 53 N 0 = 25⁰ B = 65° y P T S x

A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 177 kN, acting as shown in the figure. L 9 £a The reaction q of the ballast is assumed to be uniformly distributed over the length of the tie, which has cross-sectional dimensions b 300 mm and h = 250 mm. Calculate the maximum bending stress o (in MPa) in the tie due to the loads P, assuming the distance L = 1,500 mm and the overhang length a = 495 mm. (Enter the magnitude.) max MPa

P=6 M=4 W=0.7 L=12

Find the maximum bending compressive stress in psi, caused by the load P=1100 lbs

A cylindrical pressure vessel with flat ends is subjected to a torque 7 and a bending moment M (see figure). ot oc max Zo = M yo The outer radius is 12.2 in. and the wall thickness is 1.0 in. The loads are T = 800 kip-in., M = 1,000 kip-in., and the internal pressure p = 840 psi. Determine the maximum tensile stress, maximum compressive stress and maximum shear stress Tmax in the wall of the cylinder. (Enter the magnitudes in psi. Assume that the structure behaves linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) T M psi хо 11474.4981 X Your response differs from the correct answer by more than 10%. Double check your calculations. psi 0 psi