A tapered beam is shown below, the dimensions of the beam vary along the length. The beam has a non-uniform distributed load applied to the upper surface. L X+ w(x) = f(x) The length of the beam, L, is 1,000.0 mm. The function f(x) equal to 2.000sin (7) N/mm. The cross-section of the beam is square, with the side length of a. The allowable strength, σ, of the material is 250.0 MPa. Determine the side length, a, of the cross-section when the value of x is equal to 450.0 mm.

A tapered beam is shown below, the dimensions of the beam vary along the length. The beam has a non-uniform distributed load applied to the upper surface. L X+ w(x) = f(x) The length of the beam, L, is 1,000.0 mm. The function f(x) equal to 2.000sin (7) N/mm. The cross-section of the beam is square, with the side length of a. The allowable strength, σ, of the material is 250.0 MPa. Determine the side length, a, of the cross-section when the value of x is equal to 450.0 mm.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Question 2 Determine the moment of inertia of the area about the x axis as shown in Figure Q2.…

A: Given,to determine,Moment of inertia about the x-axis(a) having a thickness of dx(b) having a…

Q: There is a wooden beam AD, as shown in the figure below, the Flexural Rigidity of the beam section…

A: Figure is as shown

Q: Consider the beam-column shown in the following figure. Determine the deflection y(x). w(x)=w EI, L

Q: You have asked to investigate the following: (a i) The bending moment, M of a beam is given by:…

A: Given:- M=3000-550x-20x^(2) Plot bending moment diagram

Q: 1. A homogeneous hemisphere of weight W and radius a rests on a perfectly smooth horizontal table as…

A: To find the tension in the string, we can use the principle of moments.. The weight of the…

Q: er a simply supported beam of length / subjected to a 1/ y(x) = P x ≤ 1/2, the deflection is given…

Q: A uniform beam of length L carries a concentrated load wo at x = 24. The beam is embedded at both…

Q: A steel rod (E = 200 GPa) is fixed at A and subjected to the loading shown in the figure. The…

Q: Consider the beam shown in (Figure 1). EI is constant. Follow the sign convention for positive…

Q: The area moment of inertia about an axis can be used to: a. Establish the equations of static…

Q: A steel strip is clamped at left end and supported by a spring at right end. The spring has a…

A: Length(L)=200mm I=bd312=5×10312=416.67mm4E=2×105N/mm2K=3 N/mm To find The deflection at right end…

Q: All the tension/compression members of the frame structure shown in the figure are pin-jointed and…

Q: A linear torsional spring deforms such that an applied couple moment M is related to the spring’s…

A: Given data -Moment (M) = (20 θ) N-m Mass of rod (m) = 10 kg Find out - determine the angle θ for…

Q: The rigid bar shown is pinned at A and supported by two steel rods, each having a diameter of 1 in.…

A: Given, d = 1 in P = 2 kip a = b = 1 ft

Q: A beam is loaded and supported as shown below. (a) Determine expressions for the bending moment in…

A: To determine The bending moment for each section The single expression for bending moment using…

Q: Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A…

Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

A tapered beam is shown below, the dimensions of the beam vary along the length.
The beam has a non-uniform distributed load applied to the upper surface.
·a
L
a
X+
The length of the beam, L, is 1,000.0 mm.
The function f(x) equal to 2.000sin (7) N/mm.
The cross-section of the beam is square, with the side length of a. The allowable
strength, O, of the material is 250.0 MPa.
w(x) = f(x)
Determine the side length, a, of the cross-section when the value of x is equal to
450.0 mm.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction and given data

VIEW

Step 2: Moment at X = 450mm

VIEW

Step 3: Side length at x = 450mm

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 10 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A steel rod (E = 200 GPa) is fixed at A and subjected to the loading shown in the figure. The cross-sectional area of the rod is 50 mm². Neglect the size of the couplings at B, C and D. Calculate the displacement of the rod at D when F₁ = 2.8 kN, F₂ = 4.3 kN and F3 = 7.3 kN. Input your answer as a value only in mm to two decimal places without +/-sign. 1m 1.5 m 1.25 m C F2 D F3 A F₁ B
answer ASAP would be appreciated
= 29,000 For the structure and loading shown below, find the lateral deflection at the top. Use E ksi and I = 250 in4 for all members. Note that in frames, we neglect axial deformation, so you can calculate the deflection at either of the upper corners; the answer will be the same. t. 201 8K 10! 1. What is the deflection at the top in inches (two decimal places) ot
Please solve this question queckly
A beam cross section is shown. The dimensions are d = 7.6 in. and t = 0.40 in. The centroid of the cross section is located e = 3.782 in. above the bottom edge of the shape and f = 1.818 in. below the top edge. Calculate the moment of inertial for this cross section. Answer: N d y # in.4
Please do not copy any answers, they are incorrect.
c) A thin elastic wire has its both ends tied to two fixed holders and is completely immersed in a flowing fluid. A study is to be carried out to determine the static deflection, 8, at the axis of the wire due to drag that exerted by the flowing fluid. Assume: 8 =f(1, d, p, µ, V, E) where dis a deflection in unit length, I is wire length, d is wire diameter, pis fluid density, u is fluid dynamic viscosity, V is fluid velocity, and E is elastic modulus of the wire. By using Buckingham Pi (t) theorem and basic dimensions system of MLT, predict a suitable set of a Pi (t) terms to study this problem. Use d, p, and V as the repeating variables. The unit of elastic modulus is given as Newton/m?.
A beam AE is subjected to two concentrated forces P. As shown in the figure below, the flexural stiffness of the beam section is constant EI:At this time, if the concentration force F is increased to make the point C in the beam return to the center line (to offset the vertical displacement), what is the magnitude of the rigid concentration force?
All the tension/compression members of the frame structure shown in the figure are pin-jointed and of equal length and negligible weight. An external load P 34.7 kN is applied vertically at joint E. The frame is pin-connected at fixed support A and supported by a roller at D. What is the force in member AE? Input your answer as a value only in KN to one decimal place without +/- sign. A E
Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN