Chapter 8 - Bending
Objectives
Course objective: To learn to calculate the stresses for beams under various loading configurations.
Learning objectives:
- Calculate a beam's curvature due to a bending moment.
- Calculate the centroid location in i-beam, tee, and channel shaped cross sections (1.43).
- Calculate the area moment of inertia in i-beam, tee, and channel shaped cross sections (1.22).
- Acquire relevant data for named beams from the geometry tables in the appendices.
- Calculate section modulus based on a beam's centroid and area moment of inertia.
- Identify a beam's controlling section modulus.
- Draw a beam's shear-force and bending-moment diagrams.
- Calculate normal stress due to bending for symmetric (rectangle, tube, i-beam) (1.01) and non-symmetric (tee, channel) (1.20) beams.
- Draw a beam's shear-force and bending-moment diagrams and calculate normal stress: simply supported (1.07), cantilever (0.98)
- Determine optimum beam geometry based on allowable stresses.
- Transform beams made of two materials into a single-material equivalent (0.98).
- Combine normal stresses due to axial loading and bending on eccentrically-loaded beams (rectangular, pipe, tee) (0.61).
The values in orange represent quiz performance. One represents average. Values greater than one represent easier topics. Values less than one represent harder topics.
Concepts (37 minutes)
1. semester overview video notes 2. beam flexure video notes 3. composite beams video notes 4. combined loading video notes 5. homework strategies - problems 32 through 60 video - testbank problem 43 strategy Demos (6 minutes)
1. foam beam video 2. c-clamp video 3. hacksaw video Problems (144 minutes)
assigned 3e 2e 1e aids WP format bending 08.001 08.001* 08.001 video solution -- 08.002 08.002* 08.002 -- -- TENU 08.003 08.003* 08.003 -- -- -- 08.004 08.004* 08.004 -- solution -- 08.005 08.005* 08.005 -- -- TENU yes 08.006 08.006* 08.006 strategy solution GO 08.007 08.007* 08.007 -- -- -- 08.008 08.008* 08.008 strategy solution TENU yes 08.009 08.009 08.009 video solution TENU -- 08.010 08.010 strategy solution TENU B33 08.010 -- -- -- -- -- -- 08.011 08.011 -- -- -- 08.011 -- -- -- -- TENU yes 08.012 08.012 08.012 video solution TENU 08.013 08.013 08.013 -- -- -- 08.014 08.014 08.014 -- -- GO -- 08.015 08.015 -- -- -- 08.015 -- -- -- -- TENU 08.016 08.016 08.016 -- solution TENU yes 08.017 08.017 08.017 video solution TENU -- 08.018 08.018 strategy solution -- 08.018 -- -- -- -- -- beams yes 08.019 08.019 08.019 video solution TENU 08.020 08.020 08.020 strategy solution TENU 08.021 08.021 08.021 -- -- -- yes 08.022 08.022* 08.022 strategy solution TENU yes 08.023 08.023 08.023 -- -- GO 08.024 08.024* 08.024 video solution -- -- 08.025 08.025 -- -- -- -- 08.026* 08.026 -- -- TENU B34 08.025 08.027 08.027 -- -- -- 08.026 08.028 08.028 -- -- TENU 08.027 -- -- -- -- TENU 08.028 -- -- -- -- TENU 08.029 08.029 08.029 strategy solution -- 08.030 08.030 08.030 video solution -- beam
design08.031 08.031 08.031 -- -- TENU -- 08.032 08.032 strategy solution TENU B35 yes 08.032 -- -- -- -- GO -- 08.033 08.033 -- -- -- yes -- 08.034 08.034 strategy solution TENU B36 08.033 -- -- -- -- TENU 08.034 -- -- -- -- -- -- 08.035 08.035 -- -- -- -- 08.036 08.036 -- -- TENU B37 08.035 -- -- -- -- TENU 08.036 -- -- -- -- TENU yes 08.037 08.037 08.037 -- -- GO 08.038 08.038 08.038 strategy solution -- 08.039 08.039 08.039 video solution -- 08.040 08.040 08.040 -- -- TENU 08.041 08.041 08.041 -- -- -- two
materials08.042 08.042 08.042 -- solution TENU 08.043 08.043* 08.043 video solution -- -- 08.044 08.044 -- solution TENU B38 08.044 -- -- -- -- TENU yes 08.045 08.045* 08.045 strategy solution GO 08.046 08.046* 08.046 -- solution TENU 08.047 08.047 08.047 strategy solution -- -- 08.048 08.048 video solution yes -- -- -- strategy -- TENU B43 -- 08.049 08.049 -- solution TENU B39 08.048 -- -- -- -- -- 08.049 -- -- -- -- TENU yes 08.050 08.050 08.050 video solution TENU 08.051 08.051 08.051 strategy solution -- eccentric
loads08.052 08.052* 08.052 strategy solution TENU yes 08.053 08.053* 08.053 video solution TENU -- 08.054 08.054 -- solution TENU B40 08.054 -- -- -- -- TENU 08.055 -- -- -- -- TENU 08.056 -- -- -- -- TENU 08.057 08.055 08.055 -- -- TENU 08.058 08.056* 08.056 video solution TENU 08.059 08.057* 08.057 strategy solution -- 08.060 08.058* 08.058 -- solution -- yes 08.061 08.059* 08.059 video solution TENU 08.062 -- -- -- -- TENU 08.063 -- -- -- -- TENU yes 08.064 08.060* 08.060 strategy solution GO 08.065 08.061 08.061 -- -- TENU -- 08.062 08.062 -- solution TENU B41 -- 08.063 08.063 -- -- TENU B42 08.066 08.064 08.064 -- solution TENU 08.067 -- -- -- -- TENU 08.068 -- -- -- -- GO 08.069 -- -- -- -- GO 08.070 -- -- -- -- TENU unsymmetric
bending08.071 08.065 08.065 -- -- GO 08.072 08.066 08.066 -- -- TENU 08.073 08.067 08.067 -- -- -- 08.074 08.068 08.068 -- -- TENU 08.075 08.069 08.069 -- -- -- 08.076 08.070 08.070 -- -- GO 08.077 08.071 08.071 -- -- -- 08.078 08.072 08.072 -- -- -- 08.079 08.073 08.073 -- -- TENU 08.080 08.074 08.074 -- -- TENU 08.081 08.075 08.075 -- -- TENU stress
concentrations08.082 08.076* 08.076 -- -- -- 08.083 08.077* 08.077 -- -- -- -- -- 08.078 -- -- -- -- -- 08.079 -- -- -- -- -- 08.080 -- -- -- -- -- 08.081 -- -- -- 08.084 08.078 -- -- -- -- 08.085 08.079 -- -- -- -- 08.086 08.080 -- -- -- -- 08.087 08.081 -- -- -- -- 08.088 08.082 -- -- -- -- 08.089 08.083 -- -- -- -- 08.090 08.084 -- -- -- -- * numbers changed between first and second editions