Replace the distributed loading by an equivalent resultant force 1 kN *4–160. Given: 370 lb/ft w (x2 + 3x +100) lb/ft 100 lb/ft Find: 15 ft Solution Find step-by-step Engineering solutions and the answer to the textbook question Replace the distributed loading with an equivalent resultant force. μΑ ? Value Units Submit Request Answer Part B Specify the location of Fr on the beam, measured from the pin at C. 4 kN/m and w 2 = 2. 4-139 Question: 4. Also, Solwe sypport recehons ot 4,3 and C. Sm 200 N/m Probs. Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at C. Such forces are caused by winds, fluids, or the weight of items on the body’s surface. Replace the distributed loading by an equivalent resultant force. Problem 4–159 *4–160 Question: Problem 4-139. 4–143. Question: Replace the loading by a single resultant force, and specify the location of the force measured from point O. 4 kN/m . Figure Replace the distributed loading with an equivalent resultant force. Suppose that w1 = 3 kN/m and w2 = 2 kN/m . suppose that w1 = 4 kN/m and w2 = 7 kN/m . A) Replace the distributed loading with an equivalent resultant force. **Description:** The beam shown is subject to a non-uniform distributed load described by the equation: \ [ w = (x^2 + 3x + 100) \, \text {lb/ft} \] The load starts at 100 lb/ft at point A and Replace this loading by an equivalent resultant force and specify where it acts along the column, measured from the base A. Question: For the beam shown in the figure, replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point O. (b) For the given loading, find the support reactions at the pin C. 142 Replace the distributed loading by an equivalent resultant force. There are 2 steps to solve this one. 4 kN/m and w2 2. 5 kN/m . Suppose that w = 4 kN/m and W2 = 1. (Figure 1) Part A Determine the magnitude of the resultant force. Suppose that w1 = 4. Suppose that wi 4 kN/m and w>2 1 kN/m (Figure 1) Determine the magnitude of the resultant force Express your answer to three significant figures and include the appropriate units. Question: Replace the distributed loading with an equivalent resultant force, and specify its location on the beam, measured from O. Question: Replace the distributed loading by an equivalent resultant force. to/2h3hcFqmore Question: 4-153. Question: Prob. 75 kN (down), x = 2. Part B Specify its location on the beam measured from point O. 160 In (Figure 1), w, = 3. Reducing a force system to a single resultant force single resultant couple moment : = = + Take that L = 11 ft. 2 kN/m . Sep 30, 2020 · The equivalent resultant force is a single force that produces the same overall effect as the distributed load on the structure. (Figure 1) Determine the magnitude of the resultant force Express your answer to three significant figures and include the appropriate units. more Replace the distributed loading by an equivalent resultant force. Question: 4-153. 8 kN/m 5 kN/m 1. Two force systems are said to be equipollent (or equivalent) if they have the same resultant force AND the same resultant moment with respect to any point P. Problem 4. 4,720 lb C. 4-153 Replace the distributed loading by an equivalent resultant force and couple moment acting at point A. The equivalent point load should always cause the same linear acceleration and angular acceleration as the original force it is equivalent to (or cause the same reaction forces if the body is constrained). 5 kN Previous Answers Correct Figure 1 of 1 v Part B Determine the couple moment. 6 Replace the distributed loading with an equivalent resultant force. 11. Specify the location of the force on the beam, measured from the pin at A. Determine the reactions at A and roller B. Determine the direction angle of the resultant force measured counterclockwise from the Question: Problem 4. Question: Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. 1,480 lb F. Determine the couple moment. (10 points) Question: Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point O. to Mar 3, 2025 · Replace the distributed loading by an equivalent resultant force. In the following structure: a. 174 Replace the distributed loading with an equivalent resultant force and specify its location on the beam measured from point 0 . Replace the distributed loading with an equivalent resultant force, andspecify its location on the beam, measured from O. It is calculated by integrating the load intensity over the length of the distribution, which converts the continuous load into a concentrated force that simplifies analysis. Fiver Order :https:// A) Replace the distributed loading with an equivalent resultant force. 4 1 7 4 Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A Question: *3-136. The resultant force (FR) due to a distributed load is equivalent to x the _____ under the distributed loading curve, w = w(x). . ca Converting distributed loads into an equivalent force and moment is crucial in Statics analysis, as many engineering systems can be effectively modeled as distributed load systems. Specify its location on the beam measured from point O. 5 kNmkNm. Part B Determine the direction angle of the resultant force measured counterclockwise Sep 30, 2020 · The location of the resultant, often referred to as the centroid or center of pressure, is the point along the beam at which the resultant force can be assumed to act. Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. Part AReplace the distributed loading shown in (Figure 1) by anequivalent resultant force. Suppose that w1 =3kN/m and w2 =2. 142 Part A Replace the distributed loading by an equivalent resultant force. Replace this loading by an equivalent resultant force and specify its location, measured from point O. to/2h3hcFqmore Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at A Get the book: http://amzn. Available online at: h Question: (Figure 1) Part A Replace the distributed loading with an equivalent resultant force. by an equivalent resultant force, and find where its line of action intersects the beam, measured from point O . 4-154155 In (Figure 1), take that wy = 4. Determine the direction angle of the resultant force measured counterclockwise from the Dec 22, 2024 · Problem 4. Jan 1, 2025 · Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a vertical line along member BC, measured from C. Answers: FR=6. Replace the distributed loading Question: In (Figure 1), take that w0=4. Replace the distributed loading with an equivalentresultant force, and specify its location on the beammeasured from point A. Suppose that w 1 = 3. The distributed load acts on the beam as shown. Part B Specify the location of F R on the beam measured from point A. 8 kN/m. 3,720 lb D. Then determine the location of the resultant force by finding the centroid of the load distribution. 6 kN/m 6 kN/m 3 kN/m 3 m 3 m Prob, 4-146 Find step-by-step Engineering solutions and the answer to the textbook question Solve the following exercise using the given figure. Determine the equivalent resultant force Express your answer to three significant fig positive value if the force is upward and neg Fr= -31. 5 m Part A Replace the distributed loading with an equivalent resultant force. 5 m; I can't get x, please help!! Question: [P2] Replace the distributed loading by an equivalent resultant force and specify its location, measured from point o. Suppose that w1 = 3 kN/m and w2 = 6 kN/m . y -4m-+- 6 m- 15 kN/m X -10 kN/m Show transcribed image text Here’s the best way to solve it. Express your 329 55K views 9 years ago Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point O. We will analyze the most common case of a distributed pressure loading. AnswerGiven:- Distributed load w Replace the distributed loading by an equivalent resultant force. The distributed loading can be divided into four as shown in fig. Suppose that w = 2 kN/m and W2 = 4. FRValue Units Submit Part B Specify the location of FR on the beam measured from point A Figure 1 of1 Express your answer to three significant figures and include the appropriate units. Suppose that w 1 = 3 kN/mand w 2 = 4 kN/m . Suppose that Part A w1 =3kN/m and w2= 2. Get high-quality textbook solutions here. 2 Important Points Equivalent systems form the basis for replacing multiple forces and moments or dis-tributed loads with a simpli ed set of reactions. The resultant force is the summation of all perpendicular forces, which is occurred on an object. Fr = ? B) Specify its location on the beam measured from point O. 2,560 lb Ibe a 6 ft b Show transcribed image text Here’s the best way to solve it. (Figure 1) Part A Replace the distributed loading by an equivalent resultant force. (Figure 1) Figure 1 of 1 YB 11 3 m 7 Item 3 Replace the distributed loading by an equivalent resultant force. Suppose that wı = 5 kN/m and W2 = 1. Determine the magnitude of the equivalent resultant force and specify its location, measured from point A. Replace this loading by an equivalent resultant force and specify its location, measured from pointO. Replace the distributed loading with an equivalent resultant force. (Figure 1) Part A Figure < 1 of 1 Determine the equivalent resultant force. 5 kN/m and w2 = 1 kN/m . F r = ? B) Specify its location on the beam measured from point O. Determine the magnitude of the equivalent resultant force of the distributed loading and specify its location on the beam measured from pointA. 155 Part A Replace the distributed loading by an equivalent resultant force. 6 kN/m 4 kN/m 2 m -1. A. b)Determine the couple moment. Question: 4-142. Determine the length of the triangular load and its position on the beam such that the equivalent resultant force is zero and the resultant couple moment is clockwise. Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a horizontal line along member AB, measured from A. a)Determine the equivalent resultant force. Need to replace the distributed load with an equivalent resultant force and couple moment at point A. Step 2 Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a horizontal line along member AB, measured from A. Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a horizontal line along member AB, measured from A. The magnitude of the resultant force is calculated as the product of the magnitude of the distributed load (W) and the length over which it is distributed (L). Replace the force and couple moment system acting on the beam in the Fig. Enter positive value if the force is upward and negative value if the force is downward. Engineering Mechanical Engineering Mechanical Engineering questions and answers P9 Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a horizontal line along member AB, measured from A. Step 1 We are given the distributed load per unit length along member AB is $ {F_1} = 3\; {\rm {kN/m}}$, and the distributed load per unit length along member BC is $ {F_2} = 2\; {\rm {kN/m}}$. Question: 4-145. Express your answer to three Oct 21, 2021 · Problem 4–157 4–158. Replace the distributed loading by an equivalent resultant force and couple moment acting at point A. Hibbeler Thank you . 5 kN/m and w2 = 7 kN/m Replace the distributed loading by an equivalent resultant force and couple moment acting at point A. We have solutions for Hibbeler's Engineering Mechanics, including Chapter 4 Problem 143P. Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point O. If a = 3 ft, b = 2 ft and z = 600 lb/ft determine the magnitude of that force. Determine the intensities w1 and w2 of the distributed loading acting on the base of the footing for equilibrium. A force system is a collection of forces and couples applied to a body. To replace the loading by an equivalent force, calculate the total load on the beam by summing up the loads from the triangular and rectangular parts of the distributed load. Suppose that w1 = 4kN/m and w2 = 1. 4-143 Question: Replace the distributed loading shown in (Figure 1) by an equivalent resultant force. For a uniform load over length **L**, the force acts at the centroid: For non-uniform loads, integrate based on their function. (Figure 1) Part A Determine the equivalent resultant force. Steps to Determine the Equivalent Resultant Force and Moment at A: 1. 5 kNmkNm and w2w2 = 2. 0 kN/m Figure 1) Part A Replace the distributed loading with an equivalent resultant force Express your answer to three significant figures and include the appropriate units. Replace the distributed loading shown in (Figure 1) by an equivalent resultant force. Question: Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at C. Prob. Jul 28, 2021 · An equivalent point load is a single point force that will have the same effect on a body as the original loading condition, which is usually a distributed force. For uniform loads, this force acts at the beam's midpoint. ``` Let me know if you need further clarifications! Question: 4-174. Suppose that w1=4kNmand w2=2. 75 m2 [P3] Replace the distributed loading by an equivalent resultant force and specify its location, measured from point o. b. Then determine the location of this resultant force using moments about a point. Determine the magnitude of the resultant force. Aug 11, 2023 · To replace the distributed loading by an equivalent resultant force, we need to determine the magnitude and location of the resultant force. Consider the beam in (Figure 1). Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at A. In such cases, w is a function of x and has units of force per length. 5kN/m Determine the magnitude of the resultant force. The couple moment at point A would be calculated as the product of the Question: Problem 4. Question: Replace the distributed loading shown in (Figure 1) by anequivalent resultant force. Replace the loading by an equivalent resultant force and specify its location on the beam, measured from point A. Prob. to/2h3hcFqmore Question: Problem 4-160 4-160. Finding the equivalent Problem 4. The magnitude of the resultant force is equal to the total load applied over the length of the member. 154 Replace the distributed loading by an equivalent resultant force. Aug 4, 2023 · Replace the distributed loading by an equivalent resultant force. Suppose that w 3. Express your answer to three significant figures and include the appropriate units. 5kNmPart ADetermine the magnitude of the resultant force. The distribution of soil loading on the bottom of a building slab is shown. 5 kN/m and W2 = 6. A)Determine the magnitude of the resultant force. 126 24K views 8 years ago Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. 4—142. Figure Delermine the magnitude of the resuitant force. Given: 370 lb/ft w (x2 + 3x +100) lb/ft 100 lb/ft Find: 15 ft Solution Replace the distributed loading by an equivalent resultant force and couple moment acting at point A. 3 kN/m B 3 m 4 m 2 kN/m P11 Wet concrete exerts a pressure distribution along the wall of the form. 3 kN/m 0 1. Suppose that w1 = 3 kN/m andw2 = 6 kN/m . It's crucial to correctly calculate the areas and centroids of the distributed loads to obtain the accurate location of the equivalent resultant force. B. Specify the location of the force on the beam, measured from the pin at Question: Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at C. Suppose that \ ( w_ {1}=4 \mathrm {kN} / \mathrm {m} \) and \ ( w_ {2}=2. This equivalent replacement must be the resultant of the distributed loading, as discussed in Section 4. 4-139 3 kN/m - 15m + May 26, 2022 · Recommended Videos Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. ? Value Question: Replace the distributed loading with an equivalent resultant force, and specify its location on the beam, measured from O. 5 \mathrm {kN} / \mathrm {m} \). Sep 23, 2023 · To replace a distributed load with an equivalent resultant force, calculate the area under the load distribution. library. Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. 154 PartA Replace the distributed loading by an equivalent resultant force. 5 kN/m (Figure 1) Determine the direction angle of the resultant force measured counterclockwise from the negative direction. F R = ValueUnits Part B Determine the direction angle of the resultant force measured counterclockwise from the negative x-direction Replace the distributed loading shown in (Figure 1) by an equivalent resultant force. x ¯ = ? Here’s the best way to Replace the distributed loading by an equivalent resultant force, and specify its location on the beam, measured from the pin at C. + E ? Jan 1, 2024 · To replace a distributed load with an equivalent resultant force on a beam, first calculate the total force by integrating the load over the beam's length. FR = 14. Suppose that w1 = 3. (Figure 1) Determine the equivalent resultant force. Express your answer to three significant figures and include the appropriate units DO HA ? Question: 4-146. 7 (Prob. upei. Express your answer to three significant figures and include the appropriate Take that w 0 = 4. R3-8 Solution Summary: The author calculates the resultant force and the line of action on the beam measured from the pin at C. Feb 16, 2024 · To replace a distributed load on a beam with an equivalent resultant force, calculate the total load by integrating or summing the loads per unit length. Part B Determine the direction angle of the resultant force measured counterclockwise Question: Replace the distributed loading by an equivalent resultant force. Suppose that w1=4kN/m and w2=2. Nov 5, 2023 · To replace a distributed load on a beam with an equivalent resultant force, calculate the total load across the beam and determine its position based on the type of load (uniform or varying). 0 kN/m. Express your answer to three significant figures and include the appropriate units. 2. C)Specify where the force line of action intersects a vertical line along member BC, measured from C Many th a nks! Question: Problem 4. The angle of the resultant force is mathematically calculated using the tangent formula, in which the force along the vertical direction is divided by force along the horizontal direction. 4-160 Show transcribed image text Question: 4-173. Enter positive value if the force is upward and negative value if the Replace the loading by an equivalent resultant force and specify its location on the beam, measured from point A. Note: Force working on B = ( 150i 200j)N 3 kN/m B 3100 2 kN/m 4m 1. To start solving the problem, calculate the equivalent resultant force (F 1) for the triangular distributed load by using the area of the triangle formula, which is 1 2 × base × height. 5 m +0,75 m +-0. 7. 5 kN/m and w2 1. Replace the loading by an equivalent resultant force and specify its location on the beam, measured from point O. Suppose that wy = 5 kN/m and w2 = 1. x¯ = ? Take that w 0 = 3. Suppose that w1w1 = 3. suppose that W1 = 2. 2 kN/m and w2 = 2. Determine the equivalent resultant force. Question: Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a vertical line along member BC, measured from C. Suppose that wi = 4. Figure 1 of 1Determine the magnitude of the resultant force. 6,240 lb E. 11,280 lb B. Case 3: Distributed Force Replaced by an Equivalent Concentrated Force: In this case, a distributed force is replaced by its resultant acting at the centroid of the distributed area. To replace the loading on the beam, first calculate the total equivalent resultant force from the distributed loads and point force. Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point o. Problem 3-136 (Figure 1) Part A Replace the distributed loading with an equivalent resultant force. You will see that any loading systems may be replaced with a simpler statically equivalent system consisting of one resultant force at a specific point and one resultant moment by performing a series of equivalent transformations. w=480 lb/ft AA ВА A. 160 16 of 16 Part A Figure 1) Replace the distributed loading with an equivalent resultant force. In (Figure 1), w1 = 4 kN/m and w2= 8 kN/m. B x 3 m w 4 m Part A Determine the magnitude of the resultant force Express your answer to three significant figures and include the appropriate units. 146 1 of 2 Replace the distributed loading by an equivalent resultant force and couple moment acting at point A suppose that W1 = 3. Question: Problem 4. Express your answer to three significant figures and include the appropriate Replace the distributed loading with an equivalentresultant force, and specify its location on the beammeasured from point A. 5 m Prob. 2 kN/m. 5kN/m and w2=6kN/m. Question: 4. (Figure 1) Determine the magnitude of the resultant force. Question: Replace the distributed loading shown in (Figure 1) by an equivalent resultant force. 5 kN/m and w2 = 1 kN/m. It is found by determining the moment of the distributed load about a reference point and dividing it by the magnitude of the resultant force, ensuring that the mechanical effect of the distributed load is accurately represented Question: Replace the distributed loading shown in (Figure 1) by an equivalent resultant force. For a distributed load described by the function w(x), the force, F , is, L = w(x)dx; E Review Take that o 3. Question: 4-139. Question: *4-160. 5 kN/m (Figure 1) Part A Determine the equivalent resultant force. 3 kN/m B А 3 m 2 kN/m 4 m 1 Probs. The resultant force's location is found by **equating **the moment of the distributed load about the pin at A to the moment of the equivalent force about the same point. 1 7 4 Replace the distributed loading with an equivalent resultant force and specify its location on the beam measured from point A 4–142. B)Determine the direction angle of the resultant force measured counterclockwise from the negative x direction. E Part B Specify the location of the force on the beam, measured from the pin at A. This is a uniform load along one axis of a flat rectangular body. Recall that this resultant force has the same external effect on the object as the original system of forces did. Replace the distributed loading with an equivalent resultant force, and specify its location on the beam, measured from O. (Figure 1) 1. Positive value if the force is upward and negative value if the force is downward. Suppose that w1=2. Figure 1 of 1 W. Suppose that w_1 = 2 kN/m and w_2 = 4. Value Units 370 lb Transcribed Image Text: **Problem 4-174: Beam Loading Analysis** **Objective:** Replace the distributed loading on the beam with an equivalent resultant force and specify its location from point A. Figure 1 of 1 Wo 3 m 1. lrol. 4-140) (10 points) Replace the distributed loading with an equivalent resultant force, and specify its location on the beam, measured from point A. Given: 370 lb/ft v = x + 3x + 100 lb/ft 100 lb/ft Find: B 15 ft Solution Question: Replace the distributed loading by an equivalent resultant force. It is found by determining the moment of the distributed load about a reference point and dividing it by the magnitude of the resultant force, ensuring that the mechanical effect of the distributed load is accurately represented Highlights The problem involves calculating the area of triangles to find the resultant force and determining their centroids to find the location of the resultant force. Engineering Mechanics: Statics, 14th edition Russell C. [Figure 1] of1 FR = Value Units Submit My Answers Give Up Part B Specify the location of the force on the beam, measured from the Sep 23, 2023 · Final answer: Equivalent Resultant Force The question pertains to the field of Engineering Statics, specifically, finding equivalent systems in Structural Analysis. 4-154/155 Question: Replace the distributed loading by an equivalent resultant force. Problem 2: The wall footing is used to support the column load of 12,000 lb. 5 m Sep 30, 2020 · The location of the resultant, often referred to as the centroid or center of pressure, is the point along the beam at which the resultant force can be assumed to act. 4kN/m 2 kN/m 3 m 3 m Prob. 5 kN/m and W2 = 7. Fr= Express your answer to three significant figures and include the appropriate units. Part ADetermine the magnitude of the resultant force. 4-142 Question: Replace the distributed loading by an equivalent resultant force and couple moment acting at point A. We are asked an equivalent resultant force and the location where its line of action intersects a horizontal line along member AB, measured from A. FR=Request AnswerPart BDetermine the direction angle of the resultant Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects member BC, measured from C. Replace the distributed loading Question: Replace the distributed loading by an equivalent resultant force. Question: 4–155. Problem 4–158 4–159. to/2h3hcFqmore Replace the distributed loading shown in (Figure 1) by an equivalent resultant foree. Problem 4-160: Replace the distributed loading with an equivalent resultant force, and specify its location on the beam measured from point A. 146 Replace the distributed loading by an equivalent resultant force and couple moment acting at point A. to/2h3hcFqmore Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects: 4-154 a horizontal line along member , measured from . Your solution’s ready to go! See full list on pressbooks. Replace the distributed loading by an equivalent resultant force and specify where its line of action intersects a vertical line along member BC, measured from C. 5kN/m. 5 kN/m. Replace the distributed loading by an equivalentresultant force, and specify its location on the beam,measured from the pin at A. a. Get the book: http://amzn. gqyuv mgeo avwxah rvifv jqwe yuzbgjb zbsuc thk mipmzk utdg lzlu qgddlbd zfans kyijl tezsr