Chapter 3, Problem 9E

QUESTION 2 Question 2 A cross-section of a beam is shown in Figure Q2. If the shear force in this section is V = 125 KN, determine the value and the location of the maximum shear stress in the section. In Figure Q2, a = 30 mm and the origin of the coordinate system is at centroid of the cross section. 7 y= Z= A a AY S= 20 4a mm; mm; O Figure Q2 Answer The vertical coordinate (y-coordinate; the y-axis serves as the axis of symmetry of the cross- section.) and horizontal coordinate (z-coordinate) of the location where the maximum shear stress occurs in the section are ← a The vertical distance from the location where the maximum shear stress occurs in the section to the bottom side (AB cross section can be calculated as Distance = mm (units: mm) 3a Second moment of area The second moment of area employed in the equation to calculate maximum shear stress can be calculated as I₂ = a (units: mm²) Shear stress The second moment of area employed in the equation to calculate maximum shear…

find second moment of area for cases 4-7

A uniform beam is simply supported at both ends x = 0 and x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. v(x) = [xª – 4 Lx3 + 6L?x²] 24 EI a. y(x) = [x4 – 2Lx3 + L?x²] 24 EI b. 2AEX1- 2Lx3 + L³x] 24 EI C. v(x) = v(x) = [2x4 -5 Lx3 + 3L?x²] 24 EI d. y(x) = [2x4 - 3L³x3 +3L²x²] е. 24 EI

The Figure shows a loading set up similar to that of the 'Bending in Beams' laboratory experiment. E = 200 GNm"2 and I = 2 x 109 m“. The bending moment and the radius of curvature at any point in the beam between the support points B and C are respectively: 1 kN 1 kN B 0.125 m 1.25 m O a. (-)125 Nm, 1.2 m O b.(-)12.5 kNm, 2.8 m O C. (-)2.5 kNm, 2.4 m O d.(-)125 Nm, 3.2 m

Consider the beam in the picture below: 7kN/m 5kN/m P N/m Section 1 Section 2 Section 3 - L/3 L/3 L/3 %3D Take P = the last four digits of your student number in N/m. If P<250 N/m then take P = 30OON/m instead. Take L = the third digit of your student number, reading left to reight. If this value is zero then take L = 2 Assume: The reaction at the Pin = V pin 47000L+9PL )N 54 The reaction at the Roller = Vroller = 61000L+9PL 54 and that both reactions act vertically upwards. a) Find an expression for the internal moment for Section 1. Show all working and any relevant free body diagrams. b) What is the maximum magnitude of the internal moment for Section 1? Mark sure you prove that the value you calculate is the maximum. c) Find an expression for the internal moment for Section 2. Show all working and any relevant free body diagrams. d) What is the maximum magnitude of the internal moment for Section 2? Mark sure you prove that the value you calculate is the maximum. e) Find an…

What is the norminal force, N in kilo Newtons(kN). What is the shear force, V in kilo Newtons (kN). Find the bending moment, M in kilo Newton metres (kNm).

10 / 36 110% Q22](problem 2/28: p37) (¿ãt2) Determine the resultant `R" of the two forces Shown in fiqure, and find the angle o" between R and A- 10 800 N the x-axis . 900 N 25 4" Ane R=10379 N . 0 =66-8 Q23]( problem 2/25 's p37) Exemple201-2o At What angle x must the Type here to search

For the triangular element shown below, determine the shape functions at the point P. (5,6) (34) 0 (4.5,6) 2 (8,5) H

A cantilevered beam is loaded with a uniformly distributed load as shown below. If w1 = 2000 lb/ft, what is the value of the moment (ft-lb) at x = 2 ft?(NEED NEAT HANDWRITTEN SOLUTION ONLY OTHERWISE DOWNVOTE)