A plastic beam has a cross section with dimensions of a = 1.6 in, b= 5.6 in. d = 3.2 in, and t= 0.4 in. The centroid is located c= 1.353 in above the bottom surface of the beam, and the moment of inertia of the shape about the z centroidal axis is l, = 7.536 in.“. For a shear force of V= 2050 lb, what is the maximum shear stress in the beam? 1 (ур.) b Answer:

A plastic beam has a cross section with dimensions of a = 1.6 in, b= 5.6 in. d = 3.2 in, and t= 0.4 in. The centroid is located c= 1.353 in above the bottom surface of the beam, and the moment of inertia of the shape about the z centroidal axis is l, = 7.536 in.“. For a shear force of V= 2050 lb, what is the maximum shear stress in the beam? 1 (ур.) b Answer:

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A beam with length L is FIXED at both ends. It is loaded with a concentrated force P at L/3 from the first support. (a) Draw the Loading Diagram. (b) Determine the deflection at midspan, EI is constant. (c) If the beam is made of steel, what is its elastic modulus? (d) If the beam has a length of 10 meters, cross section of 200x200mm, and force P is 10 kN, what is the deflection at midspan (in millimeters)?
vertical bar is loaded with axial loadsat points B, C, and D, as shown in the figure. Thebar is made of steel with a modulus of elasticityE = 29,000 ksi. The bar has a cross-sectional area of8.24 in2. Calculate the displacements at points B, C,and D. Ignore the weight of the bar.
A plastic beam has a cross section with dimensions of a = 3.8 in., b = 13.3 in., d = 7.6 in., and t = 1 in. The centroid is located c = 3.214 in. above the bottom surface of the beam, and the moment of inertia of the shape about the z centroidal axis is Iz = 247.59 in. 4. For a shear force of V = 1750 lb, what is the maximum shear stress in the beam?
A 10 m long beam has 2 supports at point A and B. The beam is pinned at Support A and supported by a roller at Support B. It is carrying a car at middle of the beam. Discuss the results and explain the stress of this beam. Provide your opinion on the effect of the beam when the centroid of the vehicle is shifted to 3m away from Support B. Mass of car is given 1660kg. Please calculate shear force and moments for 0 ≤ X ≤ 5m and 5 < X ≤ 10m in first case and also for 0 ≤ X ≤ 7m 7 ≤ X ≤ 10m when the vehicle is shifted to 3m away from Support B. Using equilibrium i.e. force and moment equilibrium must be sa tisfied for each component, determine the forces or/and moments. List all assumptions that are Draw the free-body diagrams for the Draw the shear force and bending moment diagrams for each
2. Block B has a mass, mb, and is supported as shown. What is the maximum value of mb that can be lifted under force P = 300 lb applied to block A as shown? The static coefficient of friction on all surfaces is 0.2.
where, bf1= 260 bf2 = 120 tf = 25 tw = 16 d1 = 160 d2 = 110 1. Calculate the location of the neutral axis from the bottom of the beam in mm. 2. Compute for the moment of inertia in 1x10^6 mm^4. 3. What is the value of in kN/m, considering flexural stress in tension? 4. What is the value of in kN/m, considering flexural stress in compression? 5. What is the statical moment of area (Q) in 1x10^3 mm^3 ? Use three decimal places. 6. What is the value of in kN/m, considering shear stress at the welded section? 7. What is the safest value of in kN/m? Use three decimal places.
The T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa. a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?
Consider a 110-mm-long segment of a simply supported beam. The internal bending moments on the left and right sides of the segment are 55 kN-m and 61 kN-m, respectively. The cross-sectional dimensions of the flanged shape are shown in the accompanying figure. Assume b1 = 165 mm, b2 = 45 mm, b3 = 265 mm, d1 = 65 mm, d2 = 240 mm, d3 = 65 mm. Determine the maximum horizontal shear stress in this segment of the beam.
A wooden I- beam is made up with a narrow lower flange because of space limitations, as shown in the figure. The lower flange is fastened to the web with nails spaced longitudinally 6 in apart, and the vertical boards in the lower flange are glued in place. Determine the stress in the glued joints and the force carried by each nail in the nailed joint if the beam is subjected to a vertical shear of 400 lb. The total moment of inertia with the contribution of each part of the beam is shown below. The neutral axis and the total moment of inertia are given–you don’t need to calculate them. The neutral axis (centroidal axis for the overall section) is at a distance 8.58 in from the bottom of the beam, and the total moment of inertia is 2635.86 in4 .
3.2 A pontoon has a mass of 90 x 103 kg abd floats in see water, see figure 4.The pontoon has a length of 18m and a width of 7.5m.The sides of the pontoon are 1.5m high.The lower portion is parabolic with a displacement volume of 37.5 m3 and the centre of buoancy of the parabolic portion is 1.75m below the top of the pontoon.The centr of gravity of the pontoon is 1m below the top of the pontoon.The mass density of sea water is 1 025 kg/m3.Find the metacentric height of the pontoon and specify whether it floats stable in this position
Figure 1a shows a simply supported beam, AB of length L = 5.6 m, with a uniform distributed load of w = 4.5 kN/m. The shear force diagram is shown below the beam and the cross-section in Figure 1b. The cross section has a constant thickness t = 8.7 mm, the width of the flange is b = 217.5 mm and height of the web is d = 211.41 mm. 1. Determine the position of the neutral axis. 2. Determine the moment of inertia about the neutral axis
Determine the magnitude P of the vertical force required to lift the wheelbarrow free of the ground at point B. The combined weight of the wheelbarrow and its load is 234 lb with center of gravity at G.