The beam shown is supported by a tie bar at B and by a pin connection at C. The beam span is L = 7.0 m, and the uniformly distributed load is w=25 kN/m. The tie bar at B has an orientation of -35°. The cross-sectional dimensions of the beam shown are by 140 mm, t = 14 mm, d = 370 mm, tw = 10 mm, and уH=50 mm. Determine the principal stresses and the maximum shear stress acting at point H. Show these stresses on an appropriate sketch. H. 15 Ун Calculate the cross-sectional area and the moment of inertia about the z centroidal for the cross-section. Answers:

The beam shown is supported by a tie bar at B and by a pin connection at C. The beam span is L = 7.0 m, and the uniformly distributed load is w=25 kN/m. The tie bar at B has an orientation of -35°. The cross-sectional dimensions of the beam shown are by 140 mm, t = 14 mm, d = 370 mm, tw = 10 mm, and уH=50 mm. Determine the principal stresses and the maximum shear stress acting at point H. Show these stresses on an appropriate sketch. H. 15 Ун Calculate the cross-sectional area and the moment of inertia about the z centroidal for the cross-section. Answers:

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.5.12P: A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a...

See similar textbooks

Similar questions

.10 A built-up bourn supporting a condominium balcony is made up of a structural T (one half of a W 200 x 31.3) for the top flange and web and two angles (2 L 2 / b / 6.4. long legal back-lo-backl lot the bottom flange and web. as shown. The beam is subjected to a bending moment .1/ having its vector at an angle ft lo the z axis (see figure). Determine the or ion ta I ion of the neutral axis and calculate the maximum tensile stress ir, and maximum compressive stress tr. in ".he beam. .Assume that 9 = 30°andM = 15 kN · m. Use the numerical properties: c =4.111mm, c2 =4.169 mm, of = 134 mm, I, = 76 mm, A = 4144 mm 3 =3.88 X 106 mm 4, and = 34.18 X 10 mm 4.
The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7
Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m.
A C 200 x 17.1 channel section has an angle with equal legs attached as shown; the angle serves as a lintel beam. The combined steel section is subjected to a bending moment M having its vector directed along the z axis, as shown in the figure. The cent roi d C of the combined section is located at distances xtand ycfrom the centroid (C1) of the channel alone. Principal axes yl and yvare also shown in the figure and properties Ix1,Iy1and 0pare given. Find the orientation of the neutral axis and calculate the maximum tensile stress exand maximum compressive stress if the angle is an L 76 x 76 x 6.4 section and M = 3.5 kN - m. Use the following properties for principal axes for the combined section:/^, = 18.49 X 106 nrai4,/;| = 1.602 X 106 mm4, ep= 7.448*(CW),_r£ = 10.70 mm,andvf= 24.07 mm.
During construction of a highway bridge, the main girders are cantilevered outward from one pier toward the next (see figure). Each girder has a cantilever length of 48 m and an I-shaped cross section with dimensions shown in the figure. The load on each girder (during construction) is assumed to be 9,5 kN/m, which includes the weight of the girder. Determine the maximum bending stress in a girder due to this load.
A cantilever beam AB having rectangular cross sections with varying width bxand varying height hxis subjected to a uniform load of intensity q (sec figure). If the width varies linearly with x according to the equation hx= bBxiL^ how should the height hxvary as a function of v in order to have a fully stressed beam? (Express hxin terms of the height hBat the fixed end of the beam.)
A simple beam ACE is constructed with square cross sections and a double taper (see figure). The depth of the beam at the supports is dAand at the midpoint is dc= 2d 4. Each half of the beam has length L. Thus, the depth and moment of inertia / at distance x from the left-hand end are, respectively, in which IAis the moment of inertia at end A of the beam. (These equations are valid for .x between 0 and L, that is, for the left-hand half of the beam.) Obtain equations for the slope and deflection of the left-hand half of the beam due to the uniform load. From the equations in part (a), obtain formulas for the angle of rotation 94at support A and the deflection Scat the midpoint.
The cross-sectional dimensions of the beam are a = 4.8 in, b = 6.5 in, d=4.5 in, and t= 0.30 in. The internal bending moment about the z centroidal axis is Mz= -3.90 kip-ft. Answers both in psi
Determine the internal forces at point C (i.e. Vc. Nc, Mc) of the cantilever beam shown. Point A is fixed support 30 kN 60 kN/m 2 m A C 50 kNm 3 m 3 m Vc = +75 kN, Nc = 0, Nc = 0, Mc = +80 kN-m o Vc = -120 kN, Mc = +75 kN-m o Vc = -75 kN, Nc = 0, Mc = -90 kN-m o Vc = +75 kN, Nc = 0, Mc = -75 kN-m o None of the above o B
The floor plan of a building is shown in the Figure below. Using the Ultimate Design Load given, (i) Find the total load on column A. (ii) Determine the Maximum moment for beam A-D. -2 m- -4 m -2 m A D C 10 kN/m? 5 kN/m2 5 kN/m2 E F G 10 kN/m2 Floor Plan -5 m -3 m
Consider the following values in the given beam above: L1=6m L2 = 2 m L3 = 4 m L4=3m L5=2 m L6=1m W1 = 90 kN/m W2 = 30 kN/m P = 50 kN M = 60 kN-m Point E is an internal hinge W1 B L2 L3 2 m E W2 L5 L6 H
Question 1) F=20 kN single load, M=23 kN.m moment and w=19 kN/m distributed load are acting on the beam whose loading condition is given in the figure . The length L is also given as L=5 m . The cross-sectional properties of the beam are; body height y g =248 mm , body thickness x g =12 mm , flange width x f = 196 mm , flange height y f = 20 mm . Point E on the section is located just below the flange-body junction. It is desired to determine the stress state in the section taken from the C level of the beam. According to this; Question1-A ) Find the normal force (N C ) at point C. ( Write your result in kN .) Question1-B ) Find the shear force (V C ) at point C. ( Write your result in kN .) Question1-C ) Find the bending moment ( MC) at point C. ( Write your result in kN.m. ) Question 1-D) Find the moment of inertia of the beam section. ( Do your operations by converting the lengths to meters . Take at least 4 digits for the decimal part of your…