Please answer this question by typing What is TABCD= What is FE= What is minimum
ID: 1765649 • Letter: P
Question
Please answer this question by typing What is TABCD= What is FE= What is minimum beam thickness = Average Shear Stress 5 of 10 Learning Goal: To analyze a nail tip and fixed support beam subjected to multiple forces including external and body forces, determine the average shear stress experienced on a single nail face, and determine the minimum thickness of the beam to support these As shown, a nail is being slowly driven into beam EF using a steady force of H 350 N: the beam supports a sign s-370 N at F and the beam has a weight of w 640 N. The nail tip is located a0.5 m from the fixed support at E and the hook that holds the sign is located b 0.45 m from the nail tip; the beam is15 cm in height. The angle between the nail and the beam axis is #60.and the tip is angled at+#20.above the horizontal. An isometric view of the nail tip is shown highlighting the two faces of the nail tip that bear the load; each load bearing face has a rectangular area of Atip 2.5 mm2. For simplicity, we assume that these faces bear the same load, the forces on each face are in the opposite direction of H, and the friction along the shaft is negligible. Part A- Nail Tip Average Shear Stress Determine the average shear stress at the nail tip acting along the ABCD face. Express your answer to three significant figures with the appropriate units. View Available Hint(s) 50.559 SuemuPrevious Answers Incorrect; Try Again; 4 attempts remaining Part B Determine the Reaction Force at E Determine the reaction force at E, the foxed support of the beam. Express your answer to three significant figures with the apprExplanation / Answer
a) Concept: Using the concept of force equilibrium shear force along the nail tip is calculated.
From the figure 1 in the question it can be seen that 2R = H where R is the reaction force provided by one face of the nail.
Hence R = 175N. The horizontal component of reaction force is Rcos 60. The component of reaction force along the direction of nail tip is Rcos 60/cos 20. Hence the average shear stress acting along one face of the nail tip is (Rcos 60/cos 20)/Atip = 350cos 60/2*2.5*cos 20 = 37.246 MPa.
b) Concept: Using the concept of force equilibrium in vertical direction in the beam reaction force at fixed end E is calculated.
R?E?+ 350sin 60 = 640+370 Hence R =706.891 N.
c) Concept: Using the relationship between maximum shear stress and average stress in a rectangular beam cross section.
?max = 3/2 ??avg
?Given maximum shear stress = 50 KPa.
??avg = R?E/(?B*d) = 706.891/B*150 since the height of the beam as given in the question is 15cm.
50*10-3 = 706.891/(B*150) Hence minimum thickness of the beam B = 94.252 mm.