The cantilever beam AB shown in the figure is subjected to a triangular load acting over one-half of its length and a concentrated load acting at the free end.2.0 kN/m2.5 kNA2 m--2 m(Use the deformation sign convention.)Draw the shear-force diagram for this beam.V x)VX)VmaxVmaxV(x)Vx)VmaxVmaxVminVmin22.42O'minVminState the minimum and maximum values of V (in kN).V minkN=Vmax =kNDraw the bending-moment diagram for this beam.M(x)M( X)M(X)M(X)MmaxMmax2OMmin4O OMminState the minimum and maximum values of M (in kN • m).MminkN : mM =maxkN . m

Given Cantilever beam with point load and uniformly varying load

The cantilever beam AB shown in the figure is subjected to a triangular load acting over one-half of its length and a concentrated load acting at the free end. 2.0 kN/m 2.5 kN| 2 m- -2 m (Use the deformation sign convention.) Draw the shear-force diagram for this beam. Vmax Vmax VX) VX) Vmax Vmax Vmin Vmin 2 Vmin DO'min State the minimum and maximum values of V (in kN). Vmin = kN Vmax = kN Draw the bending-moment diagram for this beam. MIX) Mi X) MX) Mmax Mmax O OMmin. O OMmin State the minimum and maximum values of M (in kN · m). Mmin = kN. m min Mmax = kN - m

The cantilever beam AB shown in the figure is subjected to a triangular load acting over one-half of its length and a concentrated load acting at the free end. 2.0 kN/m 2.5 kN| 2 m- -2 m (Use the deformation sign convention.) Draw the shear-force diagram for this beam. Vmax Vmax VX) VX) Vmax Vmax Vmin Vmin 2 Vmin DO'min State the minimum and maximum values of V (in kN). Vmin = kN Vmax = kN Draw the bending-moment diagram for this beam. MIX) Mi X) MX) Mmax Mmax O OMmin. O OMmin State the minimum and maximum values of M (in kN · m). Mmin = kN. m min Mmax = kN - m

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: y support Calculate the deflection (mm) at the DO KN-m². Enter a positive value. Jus

Q: (d) If the member BC is fabricated 10 mm too long, explain how you will determine the vertical…

Q: Compute the maximum shear stress and maximum flexural stress of the beam shown in the figure. The…

Q: 200 mm If the beam is subjected to a bending moment of M=50KN, determine the maximum bending stress…

A: Using formula to find bending stress

Q: 5 KN/m 20 cm 10 KN.m 70 cm Al 4m- 2m. 20 cm 50 cm B.

Q: The cantilever T- beam is loaded as shown in the figure. 80 mm 40 kN/m NA 120 mm 2.0 m INA = 30x105…

Q: For the structure shown in Figure P-916 is hinged to fixed supports at A and E. Compute the maximum…

Q: Draw the torsional moment diagram. Determine the torsional angle CA (rotation angle) that will occur…

Q: The cantilever beam AB shown in the figure is subjected to a triangular load acting over one-half of…

Q: Q2: For the beam shown in Figure (2), determine transverse shear stresses at points E, F and G on…

Q: For the loaded cantilever beam shown in figure (1). the bending moment distribution along the beam…

Q: In structural practice, steel clip angles are commonly used to transfer loads from horizontal…

Q: Answer the problem. Structural theory

A: In this problem, we begin first by examining the given data and illustration. From a structural…

Q: A 10 m B

Q: Determine the shear force V (in kN) and bending moment M (in kN · m) just right of the 6.1 kN load…

A: Given simply supported beam

Q: An 8-m simply supported beam carries a concentrated load of 40 kN at a distance of 3.25 m from the…

A: To find deflection under maximum bending moment

Q: In the rigid frame shown in figure, a central concentrated load is acting on "BC". Find slopes e,,…

Q: Q.2) A simple beam of span length 3.2 m carries a uniform load of intensity 48 kN/m. The cross…

A: Given Data : Span = 3.2m Uniform load intensity = 48 kn/m Wood flanges Properties : E = 10 GPa Size…

Q: plastic bea section is up by giuing togetner three strips, ) mm × 60 mm in cross section (see…

Q: A beam ABC with a cantilever from B to C supports a uniform load of 3 kN/m over its entire length…

A: To find The maximum stress in tension σt and the maximum stress in compression σc due to uniform…

Q: B 1500 N 15 m D 600 N/m

A: From the given information we have to consider the segment AG for analysis. The Segment BC has two…

Q: The figure shown is a built-up cross section composed of C-shaped and W-shaped steel beams attached…

A: a. Moment of inertia Given data, Ix = 98 in4 (For W section) Iy = 1.31 in4 (For C section) rx =…

Q: A simply supported beam AB supports a trapezoidally distributed load (see figure). 44 kN/m 22 kN/m A…

A: Given a simply supported beam supporting the trapezoidal distributed load Load varies linearly from…

Q: A triangular table is in equilibrium and it carries vertical loads as shown. If the supports D, E,…

Q: Q2: For the beam shown in Figure (2), determine transverse shear stresses at points E, Fand G on the…

Q: The triangle section AB beam, bearing the load F1 = 400 daN in the figure, is produced from a…

A: FOS=3 width of triangular beam b=8 cm FOS=ultimate shear stressworking shear stress 3=1800working…

Q: J: A beam is 10.5 m in length and loaded as shown in Figure Q4. If the deflection in the…

Q: A beam shown below has a T-shaped cross section. Determine t maximum compressive stress of the beam.…

Q: Q4) Two considerations have been proposed for the design of a beam as shown in Figure (3). Determine…

A: since figure is not clearly visible i tried to pic the standard data here and defined the…

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

The cantilever beam AB shown in the figure is subjected to a triangular load acting over one-half of its length and a concentrated load acting at the free end.
2.0 kN/m
2.5 kN
A
2 m
-
-2 m
(Use the deformation sign convention.)
Draw the shear-force diagram for this beam.
V x)
VX)
Vmax
Vmax
V(x)
Vx)
Vmax
Vmax
Vmin
Vmin
2
2.
4
2
O'min
Vmin
State the minimum and maximum values of V (in kN).
V min
kN
=
Vmax =
kN
Draw the bending-moment diagram for this beam.
M(x)
M( X)
M(X)
M(X)
Mmax
Mmax
2
OMmin
4
O OMmin
State the minimum and maximum values of M (in kN • m).
Mmin
kN : m
M =
max
kN . m

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 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 solid 0.66-in.-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the shear stress magnitude in shaft (1). 10 Ib-ft 50 lb-ft 70 Ib-ft 30 lb-ft 1594psi 2126psi 1981psi 1786psi 2936psi
MOVING LOADS
is strengthened by bolting two cover The wide-flange beam shown in Fig. plates 160 mm by 20 mm to the top and bottom flanges. If the maximum flexure stress is 140 MPa, compute the total force (a) in each cover plate and (b) in each flange. Neglect the weakening effect of the bolt holes. 160 mm 20 mm 20 mm 320 mm 20 mm €20 mm
Determine (a) the maximum bending stress, (b) the maximum shearing stress due to V in the simply supported beam shown in the figure and (c) the shearing stress at a point 1m from the right support and 2 cm below the top. 5 cm 40 kN/m 16 kN m A 1-+-2 2 m m CF -2 m 16 cm
MOVING LOADS
1. A simply supported beam with rectangular cross-section is loaded as shown in the figure. Draw the shear and bending moment diagrams and determine the maximum normal stress due to bending. |15 kN 6 kN/m E A В D 120 mm 0.8 m 2 m
A В A uniformly distributed load is applied on a simply supported beam. What is the Maximum Shear (in kN) experienced by the beam? w = 30 kN/m L= 4.1 m w/
A thin beam with a solid rectangular cross-section is loaded as shown in Figure Q7 below. W W L/3 L/3 L/3 Figure Q7 What is the ratio of the maximum to nominal shear stress for the beam described in Question 7? O a. 3:2 O b. 1:4 Ос. 3:1 O d.2:1 O e. 1:2 O f. None of the provided answers are correct. O 8. 1:1
A pin-jointed 2-D truss is loaded with a vertical load of 10 kN as shown in figure. The crosssectional area of the horizontal member is 150 mm² and cross-section areas of the members AC and BC are 200 mm² each. Modulus of elasticity of the truss material is 200 kN/mm². The magnitude of horizontal displacement (in mm, round off to two decimal places) of joint Cis A -6m 10 KN 5 m 4.5 m
Q1: A simply supported beam and its cross section are shown in Figure. The beam carries a load of (10 kN) as shown. Its self-weight is (3.5 kN/m). Calculate the maximum bending stress at X- X. 3.5 kN/m 1.2 m B 1 10 kN 1.2 m 1.2 m 3.6 m 100 T 150 mm Hole T 300 200 200 --
Q. A simply supported beam is carrying a uniformly distributed and a gradient distributed loads as shown in Figure 1. Given that the maximum shearing stress is 270 MPa, determine the value of w. o kN/m |C -1.7m --1.7m 3.2m 170 mm Romm 37mm - 37 mm Figure 1