14.12 A cantilever beam has a cross-section and concentrated loads P₁ = 30kN and P₂ = 10 kN, as shown. Compute (a) the maximum tensile and compressive bending stress, and (b) the bending stress 2 m to the right of point A and 50 mm from the top of the bam. 1.81 3.2 m 35 mm 250 mm, 35 mm 500 mm

14.12 A cantilever beam has a cross-section and concentrated loads P₁ = 30kN and P₂ = 10 kN, as shown. Compute (a) the maximum tensile and compressive bending stress, and (b) the bending stress 2 m to the right of point A and 50 mm from the top of the bam. 1.81 3.2 m 35 mm 250 mm, 35 mm 500 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: Lyanna, a former employee at a power plant, was injured on the jobsite last year: Under the OSH Act,…

A: Answer-1, Lyanna, a former employee at a power plant, was injured on the jobsite last year: Under…

Q: Locate the centroid of the shaded plane area shown. 1. 60 mm 60 mm

A: Given: A shaded cross section Required: Centroid of the shaded cross section

Q: Problem III. A sample of wet soil has water content of 15% and a porosity of 45%. The unit weight of…

Q: Consider a lot whose corners have the following X and Y coordinates (in meters): A (218.300,…

Q: Determine the reactions and draw the shear and bending moment diagrams for the beam shown by using…

A: Given : Determine the reaction and draw the shear and bending moment diagram?

Q: A W section of A36 steel (F= 250 MPa and Fu= 400 MPa) to serve as a column 9.15 m long to carry an…

A: Given: Column section to be used = W A36 steel: Fy=250 MPa Fu=400 MPa Column length, L=9.15 m…

Q: For fully developed laminar pipe flow in a circular pipe, the velocity profile is given by u(r) = 2…

A: Given Pipe diameter= 3.1 cm

Q: 1. The parcel of land as shown with the coordinates at points A (6x, 0), B, C, D, and the origin at…

Q: 3. The following questions refer to the set of differential leveling notes shown in Table 2. a.…

A: Leveling The goal of levelling, a subset of surveying, is to establish, confirm, or measure a…

Q: Q-A vertical photograph of a flat area having an average elevation of 250m above mean sea level was…

A: Given data- Average elevation h=250 m, Focal length f=25 cm, Ab=300 m, ab=15 cm, r=10 cm, d=0.5 m,…

Q: A reservoir had an average surface area of 20 km during June 1982. In that month the mean rate of…

Q: *4-140. Replace the loading by an equivalent resultant force and specify its location on the beam,…

Q: The 1-hour National Ambient Air Quality Standard for nitrogen dioxide (NO2) is 0.10 ppmv. Calculate…

A: National Ambient Air Quality Standard for NO2 = 0.1 ppm Temperature = 25°C To determine the…

Q: 2. Compute the product of inertia with respect to the x- and y-axes.

Q: A 60 kN/m 2.0 m B 120 kN.m 3.0 m 30 kN C 3.0 m D

Q: 2. At temperature of 20C, the BOD, was determined to be 180 mg/L 0₂. At 20 C, the reaction rate…

A: Given data At 20°C, BOD5 = 180 mg/L K20 = 0.2 /day Find 1. BODult 2. Reaction rate constant…

Q: For frame presented in Fig. 2, calculate the reactions at the two supports under the applied load,…

A: Given: Required: Support reaction

Q: Problem 1 Determine the vertical displacement at joint H of the truss below using the method of…

A: Given: Area of the member, A = 4.5 in2 Modulus of elasticity, E = 29000 ksi To find: Vertical…

Q: Question 13 The relation between speed u (in km/h) and density k (number of vehicles/km) for a…

A: Given- Speed-density relation- u=70-0.7k, u=speed in km/h, k=density in veh/km, It is needed to find…

Q: A beam is subjected to a uniform force w as shown in the figure below. The bolt joint at point B can…

A: Draw Shear diagram and bending moment diagram of the beam with internal hinge. Total span = 2L

Q: 1600 N/mm², fy = 460 N/mm². Upypu) = 0.92, estimate the moment capacity of the section according ACI…

Q: A rectangular barge 6m long, 3m wide and 1m high floats in water at a draft of 0.6m, determine the…

A: Option (b) is the correct answer.

Q: 2. The defects on timber can be classified as Natural and Conversion Defects and Seasoning Defects.…

A: Required: Enumerate and draw atleast three examples of "natural and conversion defects" and…

Q: Instruction: Solution must be readable. (Fundamentals of Surveying) 1. The parcel of land as shown…

Q: Take P= 2.5 kN Determine the force in member AB, and state if the member is in tension or…

A: Given : P = 2.5 kN Determine force in member AB, AD, BC , BD, CD.

Q: Station A B C Angles 41° 73° 67° No. of Measurement 4 6 2 A. Compute the most probable value of…

A: Weight is inversely proportional to number of observation

Q: The surface tension of water at 20 °C is 75 x 10-3 N/m. The difference in water surface within and…

Q: Assume that a river that passes under a bridge is able to convey 500 m³s¹ of stormwater at a…

Q: 14. CONVERTING BEARINGS TO AZIMUTHS. Convert the following bearings to azimuths (reckoned from…

A: Given data, A) N17°43'E B) Due west C) S25°31'E D) N12°19'W E) S57°30'W F) N77°13'W

Q: Situation B. The rigid frame in the figure is subjected to a horizontal load and a vertical load as…

Q: (Laminar flow) A fluid flows through two horizontal pipes of equal length which are connected…

A: To find diameter of second pipe

Q: A bridge truss and a system of moving concentrated load are shown below. The bridge truss: A The…

A: Given: Point loads: P1=25 kNP2=30 kNP3=30 kNP4=50kN To find: ILD for member BC and calculate the…

Q: Discuss the structural components of a flexible pavement

Q: I don't know whether you'll be able to help me but I'm just trying to get an idea of where to start.…

A: As per your requirement u need some idea about this, i had completed my post graduation in…

Q: Under normal operating conditions, the electric motor exerts a torque of 2.4 kN-m on shaft AB. Each…

Q: A rentengular beam having cross section of 250 mm x 400 mm (eff- depth) is reinforced with 4 Nos of…

A: Given: Width of beamb=250 mm Effective depth of beamd=400 mm Number of barsn=4 Diameter of each…

Q: A W610 x 82 beam of A 36 steel has end reaction of 309 kN and is supported on a plate with a length…

A: Answer We know that End reaction due to web crippling is given by…

Q: Figure, 3m 3m 2m E P = 1KN 2m wall cable D 6m uniform rigid bar B A 4.

Q: PROBLEM 3 THE BUILDING IN FIG. P1.1 IS USED FOR LIGHT STORAGE SPACE. THE SLAB IS 250 MM. THICK. THE…

Q: The pressure at section (2) shown in the figure below is not to fall below 70 psi when the flowrate…

Q: the applied load. a 2.5m- 15 KN -3m- 11 kN 15 kN Fig. 1 -3m- 8 kN 11 kN -1.5m/ . For simple beam…

A: As per guidelines we need to answer only first question so please repost rest questions separately.

Q: One of the three landing pads for a proposed Mars lander is shown in the figure. As part of a design…

Q: A pile of diameter 0.4 m is fully embedded in a clay stratum having 5 layers, each 5 m thick as…

A: Given- Diameter of the pile d=4 m, Unit weight of soil=18 kN/m3, It is needed to find the value of…

Q: C A W=50kN D B W-10kN E

Q: Q-5, In a concrete mix of proportion 1:3:6, find the actual quantity of sand, which is judged to…

A: Given- Concrete mix proportion- 1:3:6, Bulking =15 %, It is needed to find the actual volume of the…

Q: 2. A lock is a device used for raising and lowering boats, ships and other watercraft between…

Q: 3. For simple beam (a-b) presented in Fig. 3, calculate the reactions at the two supports under the…

Q: Lubricating oil at 20°C with a density of 871 kg/m³ and a kinematic viscosity of 1.5 x 105 m²/s…

A: Density of the oil = 871 kg/m3 Kinematic velocity (ν) = 1.5×10-5 Inner radius (Ri) = 0.04 m Outer…

Q: Three cables are connected at A, where the forces P and Q are applied as shown. Knowing that Q = 10…

A: Given: Required: Value of P

Q: Why can't aesthetic features affect the stability of the bridge?

A: The following factors must be met for bridge pier stability: the foundation's sustaining earth, and…

Concept explainers

Methods to Determine Vertical Stress

The load applied to the soil is transferred to the underground. The presence of water at soil pores and solid grains above the soil are the primary components that are responsible for the effective load transfer. Due to the load acting, the internal component of the soil or the underground formations undergoes deformations or a tectonic shift. The amount of deformation depends upon the amount of load acting on the soil surface, which indeed, depends on the weight of everything present above the soil. Due to this, the underground soil element develops internal stresses which try to resist the tectonic changes.

Question

14.12 A cantilever beam has a cross-section and concentrated loads P₁ = 30kN and P₂ = 10 kN, as shown.
Compute (a) the maximum tensile and compressive bending stress, and (b) the bending stress 2 m to the
right of point A and 50 mm from the top of the bam.
1.8 m
3.2 m
35 mm 250 mm,
35 mm
500 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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 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 cantilever beam AB, loaded by a uniform load (see figure), is applied on a channel section. If the cross section has the dimensions indicated and the moment of inertia about the z axis (the neutral axis) is | = 3.36 in a) Find the maximum tensile stress feuaxand maximum compressive stress fyMx b) Draw the shear and moment diagram 5.0 lb/ft 0.617 in. 2.269 in. 6.0 ft
FOR THE TRUSS SHOW BELOW, SOLVE FOR THE STRESSES (ORANGE) IF ALL MEMBERS 750 mm^2.. 3m 2m 2m 2m C 3m E 200 KN 2m G F 100 kN H 4m B
If the beam is subjected to an internal moment of M = 30 kN-m determine the compressive bending stress in MPa on the top surface of top flange A. 50 mm 50 mm 10 mm M 150 mm 15 mm
A beam AB with a total length of 3m is supported by vertical rods at the ends, and it supports a downward load at Cof P-60KN, as shown in the figure. The diameters of the steel hanger rods are d130 mm and d2-25 mm. Neglect the weight of the beam AB and the rods. At what distancex from A must the load be placed such that o 0 And what is the corresponding axial stress in the rods? 3 m 3m (1) P=60 kN 2 m "Rigid
The cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; I = 1780 in.“]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 230 kip-ft, P = 24 kips, LAB = 5.2 ft, LBc = 7.8 ft. %3D MA A В C LAB LBC
The joint between a diagonal and a chord in a timber truss is shown. The compressive force P in the diagonal is 20 kN. Determine the compressive stress in the diagonal, the bearing stress on plane ab, and the shear stress on plane ac. Both the chord and the diagonal are 150 mm by 150 mm (full nominal size) in cross-section. 40 mm Diagonal Chord a 160 mm
A truss is loaded as shown in the figure. The cross- sectional area of each member is 500 mm^2. Hint: Use method of section in getting the axial forces. Use the guide cutting sections. L-6 m+6m- N 25 kN 8 m 50 kN - a 8 m 50 kN 8 m 50 kN 8 m B. 9. Find the axial stress in member HK O 35.34 MPa O 31.12 MPa O 33.34 MPa O 37.12 MPa Question 10 10. Find the axial stress in member HJ. O 125 MPa О 123 МPа O 127 MPa O 129 MPa
A horizontal beam AD is supported by an inclined strut BC carries a load W = 2.4KN at the position shown. The strut, which consist of one bar is connected to the beam by a bolt passing through the three bars meeting at joint C. BC is 75mm wide x 10mm thick strut while AD is 100mm wide by 10mm thick rigid bar. a. Determine the required bolt diameter at A if the allowable bolt shear stress is 68MPA, assuming single shear. b. Determine the total vertical displacement at D if E = 200,000MPa A C 10 10 1.2 B Joint at C 1.2 1.2
Questions a/b c₁ = c₂ = c 5 0.291 10 0.312 20 0.323 40 0.328 200 10 E m 200 10 1. 6.3 kNm torque is applied to a 3m long steel angle with a 200mm x 200mm x 10mm cross section. From tabulated properties for equal angles, the gross cross sectional area of the section is 5090 mm². knowing that G = 77 GPa, determine (a) the maximum shearing stress along line m-m. Provide the answer in MPa with precision n to two decimal points. 2. Determine the angle of twist if 1.7 kNm of torque is applied to the above long angle steel. Provide the answer in Degrees with precision to two decimal points.
If the beam shown is supported by the fixed wall at B and the rod AC. if the rod has a cross sectional area = 7 x104 m² and is made of the same material of the beam if the area moment of inertia of the beam's cross section is 2.8 x 10-6 m4 if the distributed load w = 8 kN, then, the tension in the rod AC is T. 1m 1 m 2 m O a. 6.00 O b. 873.69 Oc. 59910.13 O d. 26.00
Problem 4 The beam loaded as shown below, compute the bending stresses at every 1m from the fixed end support of the beam use Ina = 100x106 mm4 www 10 kN 4 kN/m bm 러 n.a. 130 mm 200mm
Text: A beam is clamped at A. The beam is supported by a uniformly distributed load and a concentrated load as indicated on the sketch. The beam is made using the HE220A profile. The length of the beam is 4200 mm. and has a modulus of elasticity on it 2,0x105N/mm2 A) Calculate the bearing reactions of the beam for the given external load action. B) Establish moment and shear diagram for the beam for the given external load action. C) Calculate the transverse displacement of the free (cantilevered) end for the given external load action. D) Calculate the rotation of the free (cantilevered) end for the given external load action.