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Adding Classes

In CodePen, whatever you write in the HTML editor is what goes within the <body> tags in a basic HTML5 template. So you don't have access to higher-up elements like the <html> tag. If you want to add classes there that can affect the whole document, this is the place to do it.

About the <head>

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Insecure Resource

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CSS

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CSS Base

About CSS Base

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JavaScript

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HTML 

              
                <div class="frame">
    <ul class="tabbar">
        <li class="active">
            <a href="" class="box">
                <div>
                    <svg>
                        <use xlink:href="#box">
                    </svg>
                    <em></em>
                </div>
            </a>
        </li>
        <li>
            <a href="" class="home">
                <div>
                    <svg>
                        <use xlink:href="#home">
                    </svg>
                </div>
            </a>
        </li>
        <li>
            <a href="" class="calendar">
                <div>
                    <svg>
                        <use xlink:href="#calendar">
                    </svg>
                    <em></em>
                </div>
            </a>
        </li>
    </ul>
</div>

<svg xmlns="http://www.w3.org/2000/svg" style="display: none;">
    <symbol xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" id="box">
        <path d="M4.2715356,6.86557078 C3.79533783,7.1301251 3.5,7.63205601 3.5,8.1768067 L3.5,15.8231933 C3.5,16.367944 3.79533783,16.8698749 4.2715356,17.1344292 L11.2715356,21.0233181 C11.7245694,21.2750036 12.2754306,21.2750036 12.7284644,21.0233181 L19.7284644,17.1344292 C20.2046622,16.8698749 20.5,16.367944 20.5,15.8231933 L20.5,8.1768067 C20.5,7.63205601 20.2046622,7.1301251 19.7284644,6.86557078 L12.7284644,2.97668189 C12.2754306,2.72499645 11.7245694,2.72499645 11.2715356,2.97668189 L4.2715356,6.86557078 Z"></path>
    </symbol>
    <symbol xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" id="home">
        <path d="M3.66781808,10.0753614 C3.5610739,10.1702451 3.5,10.3062472 3.5,10.4490661 L3.5,20 C3.5,20.8284271 4.17157288,21.5 5,21.5 L19,21.5 C19.8284271,21.5 20.5,20.8284271 20.5,20 L20.5,10.4490661 C20.5,10.3062472 20.4389261,10.1702451 20.3321819,10.0753614 L12.9965458,3.55479593 C12.4282167,3.04961457 11.5717833,3.04961457 11.0034542,3.55479593 L3.66781808,10.0753614 Z"></path>
    </symbol>
    <symbol xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" id="calendar">
        <path d="M5,4.5 C4.17157288,4.5 3.5,5.17157288 3.5,6 L3.5,19 C3.5,19.8284271 4.17157288,20.5 5,20.5 L19,20.5 C19.8284271,20.5 20.5,19.8284271 20.5,19 L20.5,6 C20.5,5.17157288 19.8284271,4.5 19,4.5 L5,4.5 Z"></path>
    </symbol>
</svg>

<!-- dribbble -->
<a class="dribbble" href="https://dribbble.com/shots/7030278-Tab-bar-animation" target="_blank"><img src="https://cdn.dribbble.com/assets/dribbble-ball-mark-2bd45f09c2fb58dbbfb44766d5d1d07c5a12972d602ef8b32204d28fa3dda554.svg" alt=""></a>
!

CSS 

              
                .tabbar {
    --primary: #275EFE;
    --background: #fff;
    --icon-active: #fff;
    --x: 64px;
    width: 100%;
    margin: 0;
    padding: 0 16px;
    border-radius: 0 0 28px 28px;
    list-style: none;
    position: relative;
    display: grid;
    grid-template-columns: repeat(3, minmax(0, 1fr));
    background: var(--background);
    &:before,
    &:after {
        content: '';
        position: absolute;
        left: 0;
        border-radius: 50%;
        transform: translateX(var(--x));
    }
    &:before {
        width: 64px;
        height: 64px;
        margin-left: -32px;
        background: var(--primary);
        top: -16px;
        z-index: 1;
    }
    &:after {
        width: 84px;
        height: 84px;
        margin-left: -42px;
        background: rgba(255, 255, 255, .08);
        top: -26px;
    }
    li {
        a {
            display: block;
            padding: 24px 0;
            backface-visibility: hidden;
            transition: transform .2s ease;
            -webkit-tap-highlight-color: transparent;
            div {
                --y: 0;
                width: 32px;
                height: 32px;
                margin: 0 auto;
                position: relative;
                z-index: 1;
                backface-visibility: hidden;
                transform: translateY(var(--y));
                svg {
                    display: block;
                    width: 32px;
                    height: 32px;
                    fill: rgba(255, 255, 255, 0);
                    stroke-width: 1px;
                    stroke: var(--primary);
                }
                &:before {
                    --s-x: 1;
                    --s-y: 1;
                    content: '';
                    display: block;
                    position: absolute;
                    z-index: 1;
                    transform: scaleX(var(--s-x)) scaleY(var(--s-y));
                }
            }
            &.box {
                div {
                    &:before {
                        --s-x: .75;
                        left: 50%;
                        margin-left: -1px;
                        width: 2px;
                        height: 12px;
                        bottom: 4px;
                        border-radius: 1px;
                        background: var(--primary);
                    }
                    em {
                        --s-x: 1;
                        --s-y: 1;
                        display: block;
                        position: absolute;
                        top: 50%;
                        left: 50%;
                        z-index: 1;
                        &:before,
                        &:after {
                            --r: 0deg;
                            content: '';
                            display: block;
                            height: 2px;
                            border-radius: 1px;
                            width: 13px;
                            background: var(--primary);
                            position: absolute;
                            bottom: -1px;
                            transform: rotateZ(var(--r)) translateY(1px) scaleY(.75);
                        }
                        &:before {
                            --r: 30deg;
                            right: -1px;
                            transform-origin: 100% 50%;
                        }
                        &:after {
                            --r: -30deg;
                            left: -1px;
                            transform-origin: 0% 50%;
                        }
                    }
                }
            }
            &.home {
                div {
                    &:before {
                        --s-x: .75;
                        --s-y: .75;
                        border: 2px solid var(--primary);
                        border-bottom: 0;
                        width: 12px;
                        height: 17px;
                        border-radius: 2px 2px 0 0;
                        left: 50%;
                        bottom: 1px;
                        margin-left: -6px;
                        transform: scale(.75);
                    }
                }
            }
            &.calendar {
                div {
                    &:before {
                        --s-y: .75;
                        height: 2px;
                        width: 22px;
                        background: var(--primary);
                        left: 50%;
                        top: 12px;
                        margin-left: -11px;
                    }
                    em {
                        display: block;
                        position: absolute;
                        top: 3px;
                        left: 50%;
                        &:before,
                        &:after {
                            content: '';
                            display: block;
                            width: 2px;
                            border-radius: 1px;
                            height: 7px;
                            background: var(--primary);
                            position: absolute;
                            top: 0;
                            backface-visibility: hidden;
                            transform: scaleX(.75);
                            transition: background .4s ease;
                        }
                        &:before {
                            right: -6px;
                        }
                        &:after {
                            left: -6px;
                        }
                    }
                }
            }
        }
        &.active {
            a {
                div {
                    --y: -24px;
                    svg {
                        fill: var(--icon-active);
                    }
                }
                &.calendar {
                    em {
                        &:before,
                        &:after {
                            background: var(--icon-active);
                        }
                    }
                }
            }
        }
        &:not(.active) {
            a {
                div {
                    transition: transform .4s ease;
                    svg {
                        transition: fill .4s ease;
                    }
                }
                &:active {
                    transform: scale(.92);
                }
            }
        }
        &.move {
            a {
                div {
                    animation: icon 1.2s linear forwards;
                    svg {
                        animation: svg 1.2s linear forwards;
                    }
                }
                &.box {
                    div {
                        &:before {
                            animation: element-far 1.2s linear forwards;
                        }
                        em {
                            animation: element-close 1.2s linear forwards;
                        }
                    }
                }
                &.home {
                    div {
                        &:before {
                            animation: element-close 1.2s linear forwards;
                        }
                    }
                }
                &.calendar {
                    div {
                        &:before {
                            animation: element-close 1.2s linear forwards;
                        }
                        em {
                            animation: calendar-2 1.2s linear forwards;
                            &:before,
                            &:after {
                                animation: calendar-3 1.2s linear forwards;
                            }
                        }
                    }
                }
            }
        }
    }
    &.move {
        &:before {
            animation: move 1.2s linear forwards;
        }
        &:after {
            animation: move-after 1.2s linear forwards;
        }
    }
}

.frame {
    width: 320px;
    height: 240px;
    border-radius: 0 0 28px 28px;
    overflow: hidden;
    display: flex;
    align-items: flex-end;
}

@keyframes move {
    10%,
    15% {
        transform: translate(var(--x), 84px);
    }
    30% {
        transform: translate(var(--x-n), 84px);
    }
    42%,
    70% {
        transform: translate(var(--x-n), -16px);
    }
    85% {
        transform: translate(var(--x-n), 4px);
    }
    100% {
        transform: translate(var(--x-n), 0);
    }
}

@keyframes move-after {
    10%,
    15% {
        transform: translate(var(--x), 84px) scale(.82);
    }
    30% {
        transform: translate(var(--x-n), 84px) scale(.82);
    }
    42% {
        transform: translate(var(--x-n), -16px) scale(.82);
    }
    60% {
        transform: translate(var(--x-n), -16px) scale(1);
    }
    70% {
        transform: translate(var(--x-n), -16px) scale(1);
    }
    85% {
        transform: translate(var(--x-n), 4px) scale(1);
    }
    100% {
        transform: translate(var(--x-n), 0) scale(1);
    }
}

@keyframes icon {
    30% {
        transform: translateY(0px);
    }
    40%,
    70% {
        transform: translateY(-100px);
    }
    85% {
        transform: translateY(-20px);
    }
    100% {
        transform: translateY(-24px);
    }
}

@keyframes svg {
    30% {
        fill: rgba(255, 255, 255, 0);
        transform: translateY(0);
    }
    40% {
        fill: rgba(255, 255, 255, 0);
        transform: translateY(-36px);
    }
    70% {
        fill: rgba(255, 255, 255, 0);
        transform: translateY(-56px);
    }
    80% {
        fill: rgba(255, 255, 255, 0);
    }
    85% {
        fill: var(--icon-active);
        transform: translateY(0);
    }
    100% {
        fill: var(--icon-active);
        transform: translateY(0);
    }
}

@keyframes element-close {
    30% {
        transform: translateY(0) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
    40% {
        transform: translateY(-16px) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
    70% {
        transform: translateY(-28px) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
    85% {
        transform: translateY(0) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
    100% {
        transform: translateY(0) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
}

@keyframes element-far {
    30% {
        transform: translateY(0) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
    40% {
        transform: translateY(-4px) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
    70% {
        transform: translateY(-12px) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
    85% {
        transform: translateY(0) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
    100% {
        transform: translateY(0) scaleX(var(--s-x)) scaleY(var(--s-y));
    }
}

@keyframes calendar-2 {
    30% {
        transform: translateY(0);
    }
    40% {
        transform: translateY(0px);
    }
    70% {
        transform: translateY(-8px);
    }
    85% {
        transform: translateY(0);
    }
    100% {
        transform: translateY(0);
    }
}

@keyframes calendar-3 {
    75% {
        background: var(--primary);
    }
    80%,
    100% {
        background: var(--icon-active);
    }
}

html {
    box-sizing: border-box;
    -webkit-font-smoothing: antialiased;
}

* {
    box-sizing: inherit;
    &:before,
    &:after {
        box-sizing: inherit;
    }
}

// Center & dribbble
body {
    min-height: 100vh;
    display: flex;
    justify-content: center;
    align-items: center;
    background: #242836;
    .dribbble {
        position: fixed;
        display: block;
        right: 20px;
        bottom: 20px;
        img {
            display: block;
            height: 28px;
        }
    }
}
!

JS 

              
                $('.tabbar li a').on('click', function(e) {

    e.preventDefault();

    let that = $(this),
        li = that.parent(),
        ul = li.parent();

    if(!ul.hasClass('move') && !li.hasClass('active')) {
        ul.children('li').removeClass('active');

        ul.css('--x-n', li.position().left + li.outerWidth() / 2 + 'px');
        li.addClass('move');
        ul.addClass('move');

        setTimeout(() => {
            ul.removeClass('move');
            li.removeClass('move').addClass('active');
            ul.css('--x', li.position().left + li.outerWidth() / 2 + 'px');
        }, 1200);
    }

});
!
999px

Console