The uniform beam is supported by two rods AB and CD that have cross-sectional areas of 12 mm? and 18 mm?, respectively. Determine the position d in m of the distributed load so that the average normal stress in each rod is the same. ... D 4kN/m A 5m
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- If M, = 285 kip-ft, find the magnitude of the bending stress at a point H For the beam cross section, assume a = 9 in. b= 12 in. d= 31 in r= 45 in. The centroid of the cross section is located 14.16 in. below the uppermost surface of the beam. The moment of inertia about the z axis is 26227 in 4If Mz = 545 kip-ft, find the magnitude of the bending stress at a point H. For the beam cross section, assume a = 10 in. b = 14 in. d = 35 in. r = 5 in. The centroid of the cross section is located 16.07 in. below the uppermost surface of the beam. The moment of inertia about the z axis is 44269 in.4.The figure which is in equilibrium under the forces P and F = 42 kN inclined at θ= 48o, is supported by a pin at D. Determine the shear stress in the pin if it is 21-mm-diameter.
- If the T-beam is subjected to a vertical shear V = 14 kips, determine the maximum shear stress (ksi) in the beam Where: tf = 2.4 in and d = 7 in10. Vertical Forces P & F in the figure produces a resultant of 500KN and a counter clockwise couple C of 250 KN-m. Find the magnitude of force P.Determine the minimum force P to prevent the 30-kg rod AB from sliding. The contact surface at B is smooth, whereas the coefficient of static friction between the rod and the wall at A is μs = 0.2.
- A simply supported beam carries a concentrated load of 31 kN at 7 meters from the left support (1 meters from the right support). Use EI = 80,000 kN-m2. Solve for the slope at the left support in degrees.If a twisting moment of 1100 N-m is impressed upon a 4.4 cm ø shaft;1. What is the maximum shearing stress (in MPa) developed? 2. What is the angle of twist (in rad) in a 150 cm length of the shaft?Gsteel = 85 GPa.a. Calculate the moment of inertia (I) of the given cross–section b. Calculate the first moment of area (Q) at certain depth by using 25 mm increments. c. Calculate and draw the horizontal shear stress distribution of the beam at 0.2 m from the left support
- The bar has a 140 mm by 20 mm rectangular cross section. If P = 190 kN, determine the force components perpendicular (N) and parallel (V) to a-a, the inclined surface area, and the normal and shear stress magnitudes acting on surface a-a.1.) Draw the internal stress and strain diagram of beam considering that the depth of the stress block is greater than the thickness of the flange. f’c =30 MPa, fy=400 MPa and is subjected to a positive bending Mu=140KN-m.Q1(c) A horizontal force P with a magnitude of 600 N is applied to the end lever of flipped L shape with diameter of 30 mm, 250 mm height and 450 mm length. Prove that the shearing force P does not cause any shearing stress at point C and principal stresses are as shown in Figure Q1(b).